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Solving Equation Worksheets

This segment has an endless collection of equation worksheets based on solving one-step, two-step and multi-step equations; rearranging literal equations, writing the equation of a line in various forms; graphing linear equation and more. High-school topics such as quadratic equation, absolute value equation and systems of equations are also featured here. Practice solving the equations by using the various download options available. A number of free printable worksheets are also up for grabs!

List of Equation Worksheets

Explore the equation worksheets in detail.

One-step equation worksheets

This set of worksheets requires students to solve one-step equations involving integers, fractions and decimals by performing addition, subtraction, multiplication or division operations. It also contains math riddles, finding the cost of the objects, translating the phrases into one-step equation and more.

Two-step equation worksheets

Click on the link to access exclusive worksheets on solving two-step equations that include integers, fractions and decimals. A number of MCQ's, equations in geometry, translating two-step equations and many more exercises are available for practice.

Multi-step equation worksheets

These worksheets require students to perform multiple steps to solve the equations. Use the knowledge gained in solving one-step and two-step equations to solve these multi-step equations. A number of application oriented problems based on geometrical shapes are also included here.

Equation word problems worksheets

Download and print this enormous collection of one-step, two-step and multi-step equation word problems that include integers, fractions, and decimals. MCQ worksheets form a perfect tool to examine a learner's perception on the topic.

Rearranging Equations worksheets

Literal equation worksheets help to hone the skills like rearranging the literal equations, rearrange and evaluate, word problems containing real-life applications and a lot more are included.

Equation of a line worksheets

Click here for worksheets on equation of a line. Write the equation of a line in standard form, two-point form, slope-intercept form and point-slope form. Download the complete set of worksheets on equation of a line that comprise worksheets on parallel and perpendicular lines as well.

Graphing linear equation worksheets

You are just a click away from a huge collection of worksheets on graphing linear equations. Plot the points and graph the line. Use the x values to complete the function tables and graph the line. The MCQ worksheets form a perfect tool to test student's knowledge on this topic.

Quadratic equation worksheets

Click on the link for an extensive set of worksheets on quadratic equations. Solve the quadratic equations by factoring, completing the square, quadratic formula or square root methods. Find the sum and product of the roots. Analyze the nature of the roots.

Absolute value equation worksheets

Use these worksheets to teach your students about the absolute value of integers. This module includes exercises like evaluating the absolute value expression at a particular value, input and output tables, graph the absolute value function and solve the various types of absolute value equation.

Systems of equations worksheets

Solve these systems of equations by elimination or substitution methods. The equations contain two or three variables. Equation with two variables represents straight lines, whereas equations with three variables represent a plane.

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Algebra Worksheets

Welcome to the Algebra worksheets page at Math-Drills.com, where unknowns are common and variables are the norm. On this page, you will find Algebra worksheets for middle school students on topics such as algebraic expressions, equations and graphing functions.

This page starts off with some missing numbers worksheets for younger students. We then get right into algebra by helping students recognize and understand the basic language related to algebra. The rest of the page covers some of the main topics you'll encounter in algebra units. Remember that by teaching students algebra, you are helping to create the future financial whizzes, engineers, and scientists that will solve all of our world's problems.

Algebra is much more interesting when things are more real. Solving linear equations is much more fun with a two pan balance, some mystery bags and a bunch of jelly beans. Algebra tiles are used by many teachers to help students understand a variety of algebra topics. And there is nothing like a set of co-ordinate axes to solve systems of linear equations.

Most Popular Algebra Worksheets this Week

Algebraic Properties, Rules and Laws Worksheets

The commutative law or commutative property states that you can change the order of the numbers in an arithmetic problem and still get the same results. In the context of arithmetic, it only works with addition or multiplication operations , but not mixed addition and multiplication. For example, 3 + 5 = 5 + 3 and 9 × 5 = 5 × 9. A fun activity that you can use in the classroom is to brainstorm non-numerical things from everyday life that are commutative and non-commutative. Putting on socks, for example, is commutative because you can put on the right sock then the left sock or you can put on the left sock then the right sock and you will end up with the same result. Putting on underwear and pants, however, is non-commutative.

• The Commutative Law Worksheets The Commutative Law of Addition (Numbers Only) The Commutative Law of Addition (Some Variables) The Commutative Law of Multiplication (Numbers Only) The Commutative Law of Multiplication (Some Variables)

The associative law or associative property allows you to change the grouping of the operations in an arithmetic problem with two or more steps without changing the result. The order of the numbers stays the same in the associative law. As with the commutative law, it applies to addition-only or multiplication-only problems. It is best thought of in the context of order of operations as it requires that parentheses must be dealt with first. An example of the associative law is: (9 + 5) + 6 = 9 + (5 + 6). In this case, it doesn't matter if you add 9 + 5 first or 5 + 6 first, you will end up with the same result. Students might think of some examples from their experience such as putting items on a tray at lunch. They could put the milk and vegetables on their tray first then the sandwich or they could start with the vegetables and sandwich then put on the milk. If their tray looks the same both times, they will have modeled the associative law. Reading a book could be argued as either associative or nonassociative as one could potentially read the final chapters first and still understand the book as well as someone who read the book the normal way.

• The Associative Law Worksheets The Associative Law of Addition (Whole Numbers Only) The Associative Law of Multiplication (Whole Numbers Only)

Inverse relationships worksheets cover a pre-algebra skill meant to help students understand the relationship between multiplication and division and the relationship between addition and subtraction.

• Inverse Mathematical Relationships with One Blank Addition and Subtraction Easy Addition and Subtraction Harder All Multiplication and Division Facts 1 to 18 in color (no blanks) Multiplication and Division Range 1 to 9 Multiplication and Division Range 5 to 12 Multiplication and Division All Inverse Relationships Range 2 to 9 Multiplication and Division All Inverse Relationships Range 5 to 12 Multiplication and Division All Inverse Relationships Range 10 to 25
• Inverse Mathematical Relationships with Two Blanks Addition and Subtraction (Sums 1-18) Addition and Subtraction Inverse Relationships with 1 Addition and Subtraction Inverse Relationships with 2 Addition and Subtraction Inverse Relationships with 3 Addition and Subtraction Inverse Relationships with 4 Addition and Subtraction Inverse Relationships with 5 Addition and Subtraction Inverse Relationships with 6 Addition and Subtraction Inverse Relationships with 7 Addition and Subtraction Inverse Relationships with 8 Addition and Subtraction Inverse Relationships with 9 Addition and Subtraction Inverse Relationships with 10 Addition and Subtraction Inverse Relationships with 11 Addition and Subtraction Inverse Relationships with 12 Addition and Subtraction Inverse Relationships with 13 Addition and Subtraction Inverse Relationships with 14 Addition and Subtraction Inverse Relationships with 15 Addition and Subtraction Inverse Relationships with 16 Addition and Subtraction Inverse Relationships with 17 Addition and Subtraction Inverse Relationships with 18

The distributive property is an important skill to have in algebra. In simple terms, it means that you can split one of the factors in multiplication into addends, multiply each addend separately, add the results, and you will end up with the same answer. It is also useful in mental math, an example of which should help illustrate the definition. Consider the question, 35 × 12. Splitting the 12 into 10 + 2 gives us an opportunity to complete the question mentally using the distributive property. First multiply 35 × 10 to get 350. Second, multiply 35 × 2 to get 70. Lastly, add 350 + 70 to get 420. In algebra, the distributive property becomes useful in cases where one cannot easily add the other factor before multiplying. For example, in the expression, 3(x + 5), x + 5 cannot be added without knowing the value of x. Instead, the distributive property can be used to multiply 3 × x and 3 × 5 to get 3x + 15.

• Distributive Property Worksheets Distributive Property (Answers do not include exponents) Distributive Property (Some answers include exponents) Distributive Property (All answers include exponents)

Students should be able to substitute known values in for an unknown(s) in an expression and evaluate the expression's value.

• Evaluating Expressions with Known Values Evaluating Expressions with One Variable, One Step and No Exponents Evaluating Expressions with One Variable and One Step Evaluating Expressions with One Variable and Two Steps Evaluating Expressions with Up to Two Variables and Two Steps Evaluating Expressions with Up to Two Variables and Three Steps Evaluating Expressions with Up to Three Variables and Four Steps Evaluating Expressions with Up to Three Variables and Five Steps

As the title says, these worksheets include only basic exponent rules questions. Each question only has two exponents to deal with; complicated mixed up terms and things that a more advanced student might work out are left alone. For example, 4 2 is (2 2 ) 2 = 2 4 , but these worksheets just leave it as 4 2 , so students can focus on learning how to multiply and divide exponents more or less in isolation.

• Exponent Rules for Multiplying, Dividing and Powers Mixed Exponent Rules (All Positive) Mixed Exponent Rules (With Negatives) Multiplying Exponents (All Positive) Multiplying Exponents (With Negatives) Multiplying the Same Exponent with Different Bases (All Positive) Multiplying the Same Exponent with Different Bases (With Negatives) Dividing Exponents with a Greater Exponent in Dividend (All Positive) Dividing Exponents with a Greater Exponent in Dividend (With Negatives) Dividing Exponents with a Greater Exponent in Divisor (All Positive) Dividing Exponents with a Greater Exponent in Divisor (With Negatives) Powers of Exponents (All Positive) Powers of Exponents (With Negatives)

Knowing the language of algebra can help to extract meaning from word problems and to situations outside of school. In these worksheets, students are challenged to convert phrases into algebraic expressions.

• Translating Algebraic Phrases into Expressions Translating Algebraic Phrases into Expressions (Simple Version) Translating Algebraic Phrases into Expressions (Complex Version)

Combining like terms is something that happens a lot in algebra. Students can be introduced to the topic and practice a bit with these worksheets. The bar is raised with the adding and subtracting versions that introduce parentheses into the expressions. For students who have a good grasp of fractions, simplifying simple algebraic fractions worksheets present a bit of a challenge over the other worksheets in this section.

• Simplifying Expressions by Combining Like Terms Simplifying Linear Expressions with 3 terms Simplifying Linear Expressions with 4 terms Simplifying Linear Expressions with 5 terms Simplifying Linear Expressions with 6 to 10 terms
• Simplifying Expressions by Combining Like Terms with Some Arithmetic Adding and simplifying linear expressions Adding and simplifying linear expressions with multipliers Adding and simplifying linear expressions with some multipliers . Subtracting and simplifying linear expressions Subtracting and simplifying linear expressions with multipliers Subtracting and simplifying linear expressions with some multipliers Mixed adding and subtracting and simplifying linear expressions Mixed adding and subtracting and simplifying linear expressions with multipliers Mixed adding and subtracting and simplifying linear expressions with some multipliers Simplify simple algebraic fractions (easier) Simplify simple algebraic fractions (harder)
• Rewriting Linear Equations Rewrite Linear Equations in Standard Form Convert Linear Equations from Standard to Slope-Intercept Form Convert Linear Equations from Slope-Intercept to Standard Form Convert Linear Equations Between Standard and Slope-Intercept Form
• Rewriting Formulas Rewriting Formulas (addition and subtraction; about one step) Rewriting Formulas (addition and subtraction; about two steps) Rewriting Formulas ( multiplication and division ; about one step)

Linear Expressions and Equations

In these worksheets, the unknown is limited to the question side of the equation which could be on the left or the right of equal sign.

• Missing Numbers in Equations with Blanks as Unknowns Missing Numbers in Equations ( All Operations ; Range 1 to 9 ; Blanks Never in Answer Position ) Missing Numbers in Equations ( All Operations ; Range 1 to 9 ; Blanks in Any Position ) Missing Numbers in Equations ( All Operations ; Range 1 to 20 ; Blanks Never in Answer Position ) Missing Numbers in Equations ( All Operations ; Range 1 to 20 ; Blanks in Any Position ) Missing Numbers in Equations ( Addition Only ; Range 1 to 9 ; Blanks Never in Answer Position ) Missing Numbers in Equations ( Addition Only ; Range 1 to 9 ; Blanks in Any Position ) Missing Numbers in Equations ( Addition Only ; Range 1 to 20 ; Blanks in Any Position ) Missing Numbers in Equations ( Subtraction Only ; Range 1 to 9 ; Blanks Never in Answer Position ) Missing Numbers in Equations ( Subtraction Only ; Range 1 to 9 ; Blanks in Any Position ) Missing Numbers in Equations ( Subtraction Only ; Range 1 to 20 ; Blanks in Any Position ) Missing Numbers in Equations ( Multiplication Only ; Range 1 to 9 ; Blanks Never in Answer Position ) Missing Numbers in Equations ( Multiplication Only ; Range 1 to 9 ; Blanks in Any Position ) Missing Numbers in Equations ( Multiplication Only ; Range 1 to 20 ; Blanks in Any Position ) Missing Numbers in Equations ( Division Only ; Range 1 to 9 ; Blanks Never in Answer Position ) Missing Numbers in Equations ( Division Only ; Range 1 to 9 ; Blanks in Any Position ) Missing Numbers in Equations ( Division Only ; Range 1 to 20 ; Blanks in Any Position )
• Missing Numbers in Equations with Symbols as Unknowns Missing Numbers in Equations ( All Operations ; Range 1 to 9 ; Symbols Never in Answer Position ) Missing Numbers in Equations ( All Operations ; Range 1 to 9 ; Symbols in Any Position ) Missing Numbers in Equations ( All Operations ; Range 1 to 20 ; Symbols Never in Answer Position ) Missing Numbers in Equations ( All Operations ; Range 1 to 20 ; Symbols in Any Position ) Missing Numbers in Equations ( Addition Only ; Range 1 to 9 ; Symbols Never in Answer Position ) Missing Numbers in Equations ( Addition Only ; Range 1 to 9 ; Symbols in Any Position ) Missing Numbers in Equations ( Addition Only ; Range 1 to 20 ; Symbols in Any Position ) Missing Numbers in Equations ( Subtraction Only ; Range 1 to 9 ; Symbols Never in Answer Position ) Missing Numbers in Equations ( Subtraction Only ; Range 1 to 9 ; Symbols in Any Position ) Missing Numbers in Equations ( Subtraction Only ; Range 1 to 20 ; Symbols in Any Position ) Missing Numbers in Equations ( Multiplication Only ; Range 1 to 9 ; Symbols Never in Answer Position ) Missing Numbers in Equations ( Multiplication Only ; Range 1 to 9 ; Symbols in Any Position ) Missing Numbers in Equations ( Multiplication Only ; Range 1 to 20 ; Symbols in Any Position ) Missing Numbers in Equations ( Division Only ; Range 1 to 9 ; Symbols Never in Answer Position ) Missing Numbers in Equations ( Division Only ; Range 1 to 9 ; Symbols in Any Position ) Missing Numbers in Equations ( Division Only ; Range 1 to 20 ; Symbols in Any Position )
• Solving Equations with Addition and Symbols as Unknowns Equalities with Addition (0 to 9) Symbol Unknowns Equalities with Addition (1 to 12) Symbol Unknowns Equalities with Addition (1 to 15) Symbol Unknowns Equalities with Addition (1 to 25) Symbol Unknowns Equalities with Addition (1 to 99) Symbol Unknowns
• Missing Numbers in Equations with Variables as Unknowns Missing Numbers in Equations ( All Operations ; Range 1 to 9 ; Variables Never in Answer Position ) Missing Numbers in Equations ( All Operations ; Range 1 to 9 ; Variables in Any Position ) Missing Numbers in Equations ( All Operations ; Range 1 to 20 ; Variables Never in Answer Position ) Missing Numbers in Equations ( All Operations ; Range 1 to 20 ; Variables in Any Position ) Missing Numbers in Equations ( Addition Only ; Range 1 to 9 ; Variables Never in Answer Position ) Missing Numbers in Equations ( Addition Only ; Range 1 to 9 ; Variables in Any Position ) Missing Numbers in Equations ( Addition Only ; Range 1 to 20 ; Variables in Any Position ) Missing Numbers in Equations ( Subtraction Only ; Range 1 to 9 ; Variables Never in Answer Position ) Missing Numbers in Equations ( Subtraction Only ; Range 1 to 9 ; Variables in Any Position ) Missing Numbers in Equations ( Subtraction Only ; Range 1 to 20 ; Variables in Any Position ) Missing Numbers in Equations ( Multiplication Only ; Range 1 to 9 ; Variables Never in Answer Position ) Missing Numbers in Equations ( Multiplication Only ; Range 1 to 9 ; Variables in Any Position ) Missing Numbers in Equations ( Multiplication Only ; Range 1 to 20 ; Variables in Any Position ) Missing Numbers in Equations ( Division Only ; Range 1 to 9 ; Variables Never in Answer Position ) Missing Numbers in Equations ( Division Only ; Range 1 to 9 ; Variables in Any Position ) Missing Numbers in Equations ( Division Only ; Range 1 to 20 ; Variables in Any Position )
• Solving Simple Linear Equations Solving Simple Linear Equations with Values from -9 to 9 (Unknown on Left Side) Solving Simple Linear Equations with Values from -99 to 99 (Unknown on Left Side) Solving Simple Linear Equations with Values from -9 to 9 (Unknown on Right or Left Side) Solving Simple Linear Equations with Values from -99 to 99 (Unknown on Right or Left Side)
• Determining Linear Equations from Slopes, y-intercepts and Points Determine a Linear Equation from the Slope and y-intercept Determine a Linear Equation from the Slope and a Point Determine a Linear Equation from Two Points Determine a Linear Equation from Two Points by Graphing

Graphing linear equations and reading existing graphs give students a visual representation that is very useful in understanding the concepts of slope and y-intercept.

• Graphing Linear Equations Graph Slope-Intercept Equations
• Determining Linear Equations from Graphs Determine the Equation from a Graph Determine the Slope from a Graph Determine the y-intercept from a Graph Determine the x-intercept from a Graph Determine the slope and y-intercept from a Graph Determine the slope and intercepts from a Graph Determine the slope, intercepts and equation from a Graph

Solving linear equations with jelly beans is a fun activity to try with students first learning algebraic concepts. Ideally, you will want some opaque bags with no mass, but since that isn't quite possible (the no mass part), there is a bit of a condition here that will actually help students understand equations better. Any bags that you use have to be balanced on the other side of the equation with empty ones.

Probably the best way to illustrate this is through an example. Let's use 3 x + 2 = 14. You may recognize the x as the unknown which is actually the number of jelly beans we put in each opaque bag. The 3 in the 3 x means that we need three bags. It's best to fill the bags with the required number of jelly beans out of view of the students, so they actually have to solve the equation.

On one side of the two-pan balance, place the three bags with x jelly beans in each one and two loose jelly beans to represent the + 2 part of the equation. On the other side of the balance, place 14 jelly beans and three empty bags which you will note are required to "balance" the equation properly. Now comes the fun part... if students remove the two loose jelly beans from one side of the equation, things become unbalanced, so they need to remove two jelly beans from the other side of the balance to keep things even. Eating the jelly beans is optional. The goal is to isolate the bags on one side of the balance without any loose jelly beans while still balancing the equation.

The last step is to divide the loose jelly beans on one side of the equation into the same number of groups as there are bags. This will probably give you a good indication of how many jelly beans there are in each bag. If not, eat some and try again. Now, we realize this won't work for every linear equation as it is hard to have negative jelly beans, but it is another teaching strategy that you can use for algebra.

Despite all appearances, equations of the type a/ x are not linear. Instead, they belong to a different kind of equations. They are good for combining them with linear equations, since they introduce the concept of valid and invalid answers for an equation (what will be later called the domain of a function). In this case, the invalid answers for equations in the form a/ x , are those that make the denominator become 0.

• Solving Linear Equations Combining Like Terms and Solving Simple Linear Equations Solving a x = c Linear Equations Solving a x = c Linear Equations including negatives Solving x /a = c Linear Equations Solving x /a = c Linear Equations including negatives Solving a/ x = c Linear Equations Solving a/ x = c Linear Equations including negatives Solving a x + b = c Linear Equations Solving a x + b = c Linear Equations including negatives Solving a x - b = c Linear Equations Solving a x - b = c Linear Equations including negatives Solving a x ± b = c Linear Equations Solving a x ± b = c Linear Equations including negatives Solving x /a ± b = c Linear Equations Solving x /a ± b = c Linear Equations including negatives Solving a/ x ± b = c Linear Equations Solving a/ x ± b = c Linear Equations including negatives Solving various a/ x ± b = c and x /a ± b = c Linear Equations Solving various a/ x ± b = c and x /a ± b = c Linear Equations including negatives Solving linear equations of all types Solving linear equations of all types including negatives

Algebra rectangles are rectangles that use linear expressions for the side measurements. With a known value (such as the perimeter), students create an algebraic equation that they can solve to determine the value of the unknown (x) and use it to determine the side lengths and area of the rectangle. The terminology in identifying the various options for worksheets use the standard equation y = mx + b where m is the coeffient of x that is generally a known value.

• Algebra Rectangles Algebra Rectangles -- Determining the Value of x, Length, Width and Area Using Algebraic Sides and the Perimeter -- m Range [1,1] Algebra Worksheet -{}- Algebra Rectangles -- Determining the Value of x, Length, Width and Area Using Algebraic Sides and the Perimeter -- m Range [2,9] Algebra Worksheet -{}- Algebra Rectangles -- Determining the Value of x, Length, Width and Area Using Algebraic Sides and the Perimeter -- m Range [2,9] or [-9,-2] Algebra Worksheet -{}- Algebra Rectangles -- Determining the Value of x, Length, Width and Area Using Algebraic Sides and the Perimeter -- m Range [2,9] or [-9,-2] -- Inverse m Possible

Linear Systems

• Solving Systems of Linear Equations Easy Linear Systems with Two Variables Easy Linear Systems with Two Variables including negative values Linear Systems with Two Variables Linear Systems with Two Variables including negative values Easy Linear Systems with Three Variables; Easy Easy Linear Systems with Three Variables including negative values Linear Systems with Three Variables Linear Systems with Three Variables including negative values
• Solving Systems of Linear Equations by Graphing Solve Linear Systems by Graphing (Solutions in first quadrant only) Solve Standard Linear Systems by Graphing Solve Slope-Intercept Linear Systems by Graphing Solve Various Linear Systems by Graphing Identify the Dependent Linear System by Graphing Identify the Inconsistent Linear System by Graphing

Quadratic Expressions and Equations

• Simplifying (Combining Like Terms) Quadratic Expressions Simplifying quadratic expressions with 5 terms Simplifying quadratic expressions with 6 terms Simplifying quadratic expressions with 7 terms Simplifying quadratic expressions with 8 terms Simplifying quadratic expressions with 9 terms Simplifying quadratic expressions with 10 terms Simplifying quadratic expressions with 5 to 10 terms
• Adding/Subtracting and Simplifying Quadratic Expressions Adding and simplifying quadratic expressions. Adding and simplifying quadratic expressions with multipliers. Adding and simplifying quadratic expressions with some multipliers. Subtracting and simplifying quadratic expressions. Subtracting and simplifying quadratic expressions with multipliers. Subtracting and simplifying quadratic expressions with some multipliers. Mixed adding and subtracting and simplifying quadratic expressions. Mixed adding and subtracting and simplifying quadratic expressions with multipliers. Mixed adding and subtracting and simplifying quadratic expressions with some multipliers.
• Multiplying Factors to Get Quadratic Expressions Multiplying Factors of Quadratics with Coefficients of 1 Multiplying Factors of Quadratics with Coefficients of 1 or -1 Multiplying Factors of Quadratics with Coefficients of 1, or 2 Multiplying Factors of Quadratics with Coefficients of 1, -1, 2 or -2 Multiplying Factors of Quadratics with Coefficients up to 9 Multiplying Factors of Quadratics with Coefficients between -9 and 9

The factoring quadratic expressions worksheets in this section provide many practice questions for students to hone their factoring strategies. If you would rather worksheets with quadratic equations, please see the next section. These worksheets come in a variety of levels with the easier ones are at the beginning. The 'a' coefficients referred to below are the coefficients of the x 2 term as in the general quadratic expression: ax 2 + bx + c. There are also worksheets in this section for calculating sum and product and for determining the operands for sum and product pairs.

• Factoring Quadratic Expressions Factoring Quadratic Expressions with Positive 'a' coefficients of 1 Factoring Quadratic Expressions with Positive or Negative 'a' coefficients of 1 Factoring Quadratic Expressions with Positive or Negative 'a' coefficients of 1 with a Common Factor Step Factoring Quadratic Expressions with Positive 'a' coefficients up to 4 Factoring Quadratic Expressions with Positive or Negative 'a' coefficients up to 4 Factoring Quadratic Expressions with Positive or Negative 'a' coefficients up to 4 with a Common Factor Step Factoring Quadratic Expressions with Positive 'a' coefficients up to 5 Factoring Quadratic Expressions with Positive or Negative 'a' coefficients up to 5 Factoring Quadratic Expressions with Positive or Negative 'a' coefficients up to 5 with a Common Factor Step Factoring Quadratic Expressions with Positive 'a' coefficients up to 9 Factoring Quadratic Expressions with Positive or Negative 'a' coefficients up to 9 Factoring Quadratic Expressions with Positive or Negative 'a' coefficients up to 9 with a Common Factor Step Factoring Quadratic Expressions with Positive 'a' coefficients up to 81 Factoring Quadratic Expressions with Positive or Negative 'a' coefficients up to 81 Factoring Quadratic Expressions with Positive or Negative 'a' coefficients up to 81 with a Common Factor Step Calculating Sum and Product (Operand Range 0 to 9 ) ✎ Calculating Sum and Product (Operand Range 1 to 9 ) ✎ Calculating Sum and Product (Operand Range 0 to 9 Including Negatives ) ✎ Calculating Sum and Product (Operand Range 1 to 9 Including Negatives ) ✎ Calculating Sum and Product (Operand Range -20 to 20 ) ✎ Calculating Sum and Product (Operand Range -99 to 99 ) ✎ Determining Operands from Sum and Product Pairs (Operand Range 0 to 9 ) ✎ Determining Operands from Sum and Product Pairs (Operand Range 1 to 9 ) ✎ Determining Operands from Sum and Product Pairs (Operand Range 0 to 12 ) ✎ Determining Operands from Sum and Product Pairs (Operand Range 1 to 12 ) ✎ Determining Operands from Sum and Product Pairs (Operand Range 0 to 9 Including Negatives ) ✎ Determining Operands from Sum and Product Pairs (Operand Range 1 to 9 Including Negatives ) ✎ Determining Operands from Sum and Product Pairs (Operand Range -20 to 20 ) ✎ Determining Operands from Sum and Product Pairs (Operand Range -99 to 99 ) ✎

Whether you use trial and error, completing the square or the general quadratic formula, these worksheets include a plethora of practice questions with answers. In the first section, the worksheets include questions where the quadratic expressions equal 0. This makes the process similar to factoring quadratic expressions, with the additional step of finding the values for x when the expression is equal to 0. In the second section, the expressions are generally equal to something other than x, so there is an additional step at the beginning to make the quadratic expression equal zero.

• Solving Quadratic Equations that Equal Zero Solving Quadratic Equations with Positive 'a' coefficients of 1 Solving Quadratic Equations with Positive or Negative 'a' coefficients of 1 Solving Quadratic Equations with Positive or Negative 'a' coefficients of 1 with a Common Factor Step Solving Quadratic Equations with Positive 'a' coefficients up to 4 Solving Quadratic Equations with Positive or Negative 'a' coefficients up to 4 Solving Quadratic Equations with Positive or Negative 'a' coefficients up to 4 with a Common Factor Step Solving Quadratic Equations with Positive 'a' coefficients up to 5 Solving Quadratic Equations with Positive or Negative 'a' coefficients up to 5 Solving Quadratic Equations with Positive or Negative 'a' coefficients up to 5 with a Common Factor Step Solving Quadratic Equations with Positive 'a' coefficients up to 9 Solving Quadratic Equations with Positive or Negative 'a' coefficients up to 9 Solving Quadratic Equations with Positive or Negative 'a' coefficients up to 9 with a Common Factor Step Solving Quadratic Equations with Positive 'a' coefficients up to 81 Solving Quadratic Equations with Positive or Negative 'a' coefficients up to 81 Solving Quadratic Equations with Positive or Negative 'a' coefficients up to 81 with a Common Factor Step
• Solving Quadratic Equations that Equal an Integer Solving Quadratic Equations for x ("a" coefficients of 1) Solving Quadratic Equations for x ("a" coefficients of 1 or -1) Solving Quadratic Equations for x ("a" coefficients up to 4) Solving Quadratic Equations for x ("a" coefficients between -4 and 4) Solving Quadratic Equations for x ("a" coefficients up to 81) Solving Quadratic Equations for x ("a" coefficients between -81 and 81)

Other Polynomial and Monomial Expressions & Equations

• Simplifying Polynomials That Involve Addition And Subtraction Addition and Subtraction; 1 variable; 3 terms Addition and Subtraction; 1 variable; 4 terms Addition and Subtraction; 2 variables; 4 terms Addition and Subtraction; 2 variables; 5 terms Addition and Subtraction; 2 variables; 6 terms
• Simplifying Polynomials That Involve Multiplication And Division Multiplication and Division; 1 variable; 3 terms Multiplication and Division; 1 variable; 4 terms Multiplication and Division; 2 variables; 4 terms Multiplication and Division; 2 variables; 5 terms
• Simplifying Polynomials That Involve Addition, Subtraction, Multiplication And Division All Operations; 1 variable; 3 terms All Operations; 1 variable; 4 terms All Operations; 2 variables; 4 terms All Operations; 2 variables; 5 terms All Operations (Challenge)
• Factoring Expressions That Do Not Include A Squared Variable Factoring Non-Quadratic Expressions with No Squares, Simple Coefficients, and Positive Multipliers Factoring Non-Quadratic Expressions with No Squares, Simple Coefficients, and Negative and Positive Multipliers Factoring Non-Quadratic Expressions with No Squares, Compound Coefficients, and Positive Multipliers Factoring Non-Quadratic Expressions with No Squares, Compound Coefficients, and Negative and Positive Multipliers
• Factoring Expressions That Always Include A Squared Variable Factoring Non-Quadratic Expressions with All Squares, Simple Coefficients, and Positive Multipliers Factoring Non-Quadratic Expressions with All Squares, Simple Coefficients, and Negative and Positive Multipliers Factoring Non-Quadratic Expressions with All Squares, Compound Coefficients, and Positive Multipliers Factoring Non-Quadratic Expressions with All Squares, Compound Coefficients, and Negative and Positive Multipliers
• Factoring Expressions That Sometimes Include Squared Variables Factoring Non-Quadratic Expressions with Some Squares, Simple Coefficients, and Positive Multipliers Factoring Non-Quadratic Expressions with Some Squares, Simple Coefficients, and Negative and Positive Multipliers Factoring Non-Quadratic Expressions with Some Squares, Compound Coefficients, and Positive Multipliers Factoring Non-Quadratic Expressions with Some Squares, Compound Coefficients, and Negative and Positive Multipliers
• Multiplying Polynomials With Two Factors Multiplying a monomial by a binomial Multiplying two binomials Multiplying a monomial by a trinomial Multiplying a binomial by a trinomial Multiplying two trinomials Multiplying two random mon/polynomials
• Multiplying Polynomials With Three Factors Multiplying a monomial by two binomials Multiplying three binomials Multiplying two binomials by a trinomial Multiplying a binomial by two trinomials Multiplying three trinomials Multiplying three random mon/polynomials

Inequalities

• Writing The Inequality That Matches The Graph Writing Inequalities for Graphs
• Graphing Inequalities On Number Lines Graphing Inequalities (Basic)
• Solving Linear Inequalities Solving Inequalities Including a Third Term Solving Inequalities Including a Third Term and Multiplication Solving Inequalities Including a Third Term, Multiplication and Division

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• Circle worksheets
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• Pre-algebra
• Square Roots
• Order of operations
• Scientific notation
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Worksheets for simplifying expressions

Worksheets for evaluating expressions with variables

Worksheets for writing expressions with variables from verbal expressions

Worksheets for linear inequalities

Key to Algebra Workbooks

Key to Algebra offers a unique, proven way to introduce algebra to your students. New concepts are explained in simple language, and examples are easy to follow. Word problems relate algebra to familiar situations, helping students to understand abstract concepts. Students develop understanding by solving equations and inequalities intuitively before formal solutions are introduced. Students begin their study of algebra in Books 1-4 using only integers. Books 5-7 introduce rational numbers and expressions. Books 8-10 extend coverage to the real number system.

Algebra Worksheets

Visual maths worksheets, each maths worksheet is differentiated and visual.

Solving Equations Worksheets

Maths Worksheets / Algebra Worksheets / Solving Equations Worksheets

Equations come in many forms and there is a lot to untangle. Students of all abilities are tasked with solving simultaneous equations graphically, solving quadratic equations, solving linear equations, solving equations with brackets and more as part of their school curriculum.

Luckily for them, our solving equations worksheets with answers are here to help work out those complicated sums through hands on practice. Solving linear and quadratic equations has never been easier with the help of our worksheets with answers.

Solving Equations with Algebraic Perimeters

Solving Linear Equations (A)

Solving Linear Equations (B)

Solving One Step Equations with Algebra Tiles

Solving Two Step Equations with Algebra Tiles

Find the Values

Forming and Solving Equations (A)

Forming and Solving Equations involving Angles

I Think of A Number Problems

Solving Equations 15 Minute Challenge

Solving Equations Involving Area of Rectangles

Solving Equations Involving Brackets

Solving Equations with Unknowns on Both Sides – Using Algebra Tiles

Solving Linear Equations (C)

Solving Linear Equations (Without Negatives)

Solving Linear Simultaneous Equations

Trial and Improvement (A)

Trial and Improvement (B)

Algebraic Angles in Parallel Lines

Solving Linear Equations (D)

Solving Quadratic Equations (A)

Solving Quadratic Equations (B) (by Factorising)

Solving Simultaneous Equations Graphically

Forming and Solving Quadratic Equations

Solving Equations – Unknowns are Indices

Solving Quadratic Equations (C) (by Quadratic Formula)

Solving Quadratic Equations (D) (by Completing the Square)

Printable KS3 and KS4 Equations Worksheet With Answers

Practicing, getting it wrong and learning from your mistakes is the only way that solving quadratic equations becomes easier. Whether you’re looking for a solving linear equations worksheet with answers or a simultaneous equations worksheet with answers, we have a vast selection of solving equations worksheets for you, your pupils or your children to work through. All children learn in different ways which is why we provide solving equations worksheets, as well as ‘I think of a number problems’ worksheets.

Why Equations Worksheets Can Help Kids?

When learning about equations for the first time, many students question how useful this information is in the real world.

What they don’t seem to realise is that we encounter equations in many aspects of our daily lives. Learning about equations in maths allows students to apply their knowledge in areas such as physics, chemistry, computer science, games development and more. Using equations worksheets is a great way for students to practice their algebra knowledge and help them along the way to becoming the next Steven Hawking or Steve Jobs.

Engaging Activities Help Students Learn

Kids learn best when they are interested in the subject, so try to find activities which make the topic of equations fun and entertaining.

There are many resources available which break down equations into manageable steps and help keep students engaged in their maths learning. Solving and rearranging all types of equations is a problem solving exercise, so with regular practice, students’ problem solving skills will begin to improve. Problem solving abilities are valued not just for mathematical and scientific study, but this skill is also widely sought after by employers in a range of industries. So algebra might seem daunting now, but regularly using equations worksheets can help them develop skills for life.

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Unit 2: Solving equations & inequalities

About this unit.

There are lots of strategies we can use to solve equations. Let's explore some different ways to solve equations and inequalities. We'll also see what it takes for an equation to have no solution, or infinite solutions.

Linear equations with variables on both sides

• Why we do the same thing to both sides: Variable on both sides (Opens a modal)
• Intro to equations with variables on both sides (Opens a modal)
• Equations with variables on both sides: 20-7x=6x-6 (Opens a modal)
• Equation with variables on both sides: fractions (Opens a modal)
• Equation with the variable in the denominator (Opens a modal)
• Equations with variables on both sides Get 3 of 4 questions to level up!
• Equations with variables on both sides: decimals & fractions Get 3 of 4 questions to level up!

Linear equations with parentheses

• Equations with parentheses (Opens a modal)
• Reasoning with linear equations (Opens a modal)
• Multi-step equations review (Opens a modal)
• Equations with parentheses Get 3 of 4 questions to level up!
• Equations with parentheses: decimals & fractions Get 3 of 4 questions to level up!
• Reasoning with linear equations Get 3 of 4 questions to level up!

Analyzing the number of solutions to linear equations

• Number of solutions to equations (Opens a modal)
• Worked example: number of solutions to equations (Opens a modal)
• Creating an equation with no solutions (Opens a modal)
• Creating an equation with infinitely many solutions (Opens a modal)
• Number of solutions to equations Get 3 of 4 questions to level up!
• Number of solutions to equations challenge Get 3 of 4 questions to level up!

Linear equations with unknown coefficients

• Linear equations with unknown coefficients (Opens a modal)
• Why is algebra important to learn? (Opens a modal)
• Linear equations with unknown coefficients Get 3 of 4 questions to level up!

Multi-step inequalities

• Inequalities with variables on both sides (Opens a modal)
• Inequalities with variables on both sides (with parentheses) (Opens a modal)
• Multi-step inequalities (Opens a modal)
• Using inequalities to solve problems (Opens a modal)
• Multi-step linear inequalities Get 3 of 4 questions to level up!
• Using inequalities to solve problems Get 3 of 4 questions to level up!

Compound inequalities

• Compound inequalities: OR (Opens a modal)
• Compound inequalities: AND (Opens a modal)
• A compound inequality with no solution (Opens a modal)
• Double inequalities (Opens a modal)
• Compound inequalities examples (Opens a modal)
• Compound inequalities review (Opens a modal)
• Solving equations & inequalities: FAQ (Opens a modal)
• Compound inequalities Get 3 of 4 questions to level up!

Helping with Math

Equations Math Worksheets

In this section, you can view and download all of our equations worksheets. these include common-core aligned, themed and age-specific worksheets. perfect to use in the classroom or homeschooling environment..

Solving Linear Equations in One Variable Integral Coefficients and Rational Coefficients 8th Grade Math Worksheets

Solving Word Problems Involving Linear Equations and Linear Inequalities 7th Grade Math Worksheets

Factoring and Expanding Linear Expressions with Rational Coefficients 7th Grade Math Worksheets

Understanding and Solving One-Variable Inequalities 6th Grade Math Worksheets

Understanding and Solving One-Variable Equations 6th Grade Math Worksheets

Order of Operations and Grouping Symbols 5th Grade Math Worksheet

Systems of Linear Equations (Transportation Themed) Math Worksheets

Substitution Property (World Environment Day Themed) Math Worksheets

Properties of Subtraction (Botany Themed) Math Worksheets

Solving Radical Equations (Health and Fitness Themed) Math Worksheets

Accuracy Formula (Furniture Themed) Math Worksheets

Constructing Logical Arguments Skills: Perfect Numbers (Physical Fitness Themed) Math Worksheets

X- and Y-Intercepts (National Space Day Themed) Math Worksheets

Cross Multiplication (Summer Solstice Themed) Math Worksheets

People Series: Blaise Pascal (French Architecture Themed) Math Worksheets

Manipulating Simple Polynomials (Election Themed) Math Worksheets

Exponential Growth and Decay (Financial Risk Management Themed) Math Worksheets

Equation (Dr. Seuss Themed) Math Worksheets

Expressing Number of Objects as Equations 2nd Grade Math Worksheets

Equations of Parallel and Perpendicular Lines (Street Food Themed) Math Worksheets

Equations worksheets & study resources:, brief description:.

In mathematics, an equation is defined as a formula that shows two quantities/expressions are equal. An equation always has an equal sign. Equations are one of the lessons in Algebra and became an essential foundation of other complex math topics. Students must be able to differentiate equations from expression and inequality. They all have different meanings and uses. Learners will encounter lessons like linear equations , quadratic equations, etc. The equation is a mathematical sentence showing that two values are the same.

Importance of the topic:

The equation is one of the most important topics that a learner must understand in mathematics. This topic is taught so that students can express and visualize equality. Most commonly, exercises about equations deal with finding the value of “x” that will make both sides of the equation equal. One can only do that if one knows the basic properties of equality to perform manipulation. Aside from that, students must also learn how to graph equations in a cartesian plane. There are a lot of equal quantities or objects around us. A learner must know how to determine and express equations, especially to find an accurate value that will complete an equation.

Application of the Learned Topic in Real Life

Almost all of the situations where an unknown quantity has to be solved is an application of equations in real life. Equations are used to solve real-life problems such as traffic control, transportation problems, money-related concerns, etc. We can use equations to know the exact time work is done, to compute a monthly bill given the consumed power energy, and more.

Free Algebra Worksheets

Algebra Worksheets

All of the Algebra 1 Worksheets below are samples from the Algebra Worksheets Library on our Infinite K-8 Math Worksheet Portal .

Click any of the links below to download the corresponding Algebra Math Worksheets and answer key.

▶️: Sample Worksheet Download | 🔒: Worksheet Only Available to Members | 🔽 Jump to a Topic:

Foundational Algebra Skills

Inequalities

Exponents and Scientific Notation

Linear Functions

Radicals and Radical Formulas

Solving Systems

Working with Polynomials

Rational Expressions

Statistics/Data

Solving Algebraic Equations

Word Problems

Welcome to the official Mashup Math Algebra Worksheets library. Below you will find a complete collection of printable Algebra 1 Worksheets organized by topic. Every worksheet can be downloaded as a PDF file that easy to print and/or share on online learning platforms such as Google Classroom,

Our topic-based Algebra Worksheets were carefully designed with the needs of Algebra students in mind. Our Algebra 1 Worksheets library covers a complete set of Algebra (and Pre-Algebra) topics that would commonly be featured in a curriculum for an Algebra course or online program. This library includes worksheets that will allow you to practice common Algebra topics such as working with exponents, solving equations, inequalities, solving and graphing functions, systems of equations, factoring, quadratic equations, algebra word problems, and more.

All of our algebra worksheets were created by math educators with the aim of helping students to practice and learn important algebra skills while being appropriately challenged at the same time. This way, algebra students can strengthen their skills and/or identify weaknesses in an appropriate and effective way. If you are an algebra teacher, tutor, or specialist, you will find our Algebra 1 worksheets to be an effective resource that will come in handy time and time again.

Consider a math teacher who was helping her students how to find the slope of a line from a given graph. After teaching a lesson on this topic and demonstrating the procedure, she could then assign her students one of our algebra worksheets on finding slope from a graph. While students practice this new skill, the teacher can move about the classroom and offer small group instruction/support. Rather than spending an entire class period lecturing, the teacher was able to give her students an effective and meaningful opportunity to apply, practice, and assess a new math skill and procedure.

Algebra teachers who use our topic-specific worksheets often learn quickly that Mashup Math learning resources are not only effective, but engaging to students. Unlike many free algebra 1 worksheets available online, our worksheets are designed with an emphasis on providing students with meaningful and effective learning opportunities, which is why we only include an age-appropriate amount of practice problems on each worksheet. This quality over quantity approach prevents students from growing bored and disinterested with learning math in a monotonous and overly repetitive way.

If you are new to Mashup Math, we strongly suggest that you scroll through the Free Algebra Worksheets Library below and download a few worksheets related to whatever topic you are currently working on with your students (complete answer keys are included). Once you share these activities with your students, you will have a better idea of why our resources can be so effective and engaging.

And if you would like to gain access to our full library of Algebra 1 Math Worksheets, then go ahead and click on the link below to sign-up for annual access to the Mashup Math Infinite Math Worksheet Portal , where users gain on-demand access to ALL of our topic-specific math worksheets for all algebra and geometry topics.

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▶️ Commutative property of Multiplication (A)

🔒 Commutative property of Multiplication (B)

▶️ Associative property of Multiplication (A)

🔒 Associative property of Multiplication (B)

▶️ Practice with the Distributive Property (Algebra) (A)

🔒 Practice with the Distributive Property (Algebra) (B)

🔒 Practice with the Distributive Property (Algebra) (C)

▶️ Practice with Absolute Values (A)

🔒 Practice with Absolute Values (B)

▶️ Practice: Order of Operations with Exponents (A)

🔒 Practice: Order of Operations with Exponents (B)

🔒 Practice: Order of Operations with Exponents (C)

▶️ Practice: Order of Operations with Nested Parenthesis (A)

🔒 Practice: Order of Operations with Nested Parenthesis (B)

🔒 Practice: Order of Operations with Nested Parenthesis (C)

▶️ Extra practice (order of operations up to 6 terms) (A)

🔒 Extra practice (order of operations up to 6 terms) (B)

▶️ Extra practice (order of operations up to 6 terms) (C)

▶️ Extended Practice: Order of Operations

▶️ Finding percent increase/decrease (A)

🔒 Finding percent increase/decrease (B)

▶️ Solving simple proportions (A)

🔒 Solving simple proportions (B)

🔒 Solving simple proportions (C)

▶️ Simplifying ratios (A)

🔒 Simplifying ratios (B)

▶️ Similar Triangles (A)

🔒 Similar Triangles (B)

▶️ Factoring numbers (up to 100) (A)

🔒 Factoring numbers (up to 100) (B)

🔒 Factoring numbers (up to 100) (C)

▶️ Finding Greatest Common Factor (GCF) (A)

🔒 Finding Greatest Common Factor (GCF) (B)

▶️ Finding Least Common Multiple (LCM) (A)

🔒 Finding Least Common Multiple (LCM) (B)

▶️ Extended Practice: Finding GCF and LCM

▶️ Plotting Points (All Quadrants) (A)

🔒 Plotting Points (All Quadrants) (B)

▶️ Reading Points (All Quadrants) (A)

🔒 Reading Points (All Quadrants) (B)

▶️ Translations on the coordinate plane (A)

🔒 Translations on the coordinate plane (B)

▶️ Rotations on the coordinate plane (A)

🔒 Rotations on the coordinate plane (B)

▶️ Reflections on the coordinate plane (A)

🔒 Reflections on the coordinate plane (B)

▶️ Dilations on the coordinate plane (A)

🔒 Dilations on the coordinate plane (B)

▶️ Evaluating exponents (A)

🔒 Evaluating exponents (B)

▶️ Powers of 10 (A)

🔒 Powers of 10 (B)

▶️ Negative or zero exponents (A)

🔒 Negative or zero exponents (B)

▶️ Multiplying Exponents with the Same Base (A)

🔒 Multiplying Exponents with the Same Base (B)

▶️ Dividing Exponents with the Same Base (A)

🔒 Dividing Exponents with the Same Base (B)

▶️ Power to a Power (A)

🔒 Power to a Power (B)

▶️ Practice with Scientific Notation (A)

🔒 Practice with Scientific Notation (B)

🔒 Practice with Scientific Notation (C)

▶️ Extended Practice: Scientific Notation

▶️ Practice with square roots (A)

🔒 Practice with square roots (B)

🔒 Practice with square roots (C)

▶️ Estimating Square Roots of Non-Perfect Squares (A)

🔒 Estimating Square Roots of Non-Perfect Squares (B)

▶️ Simplifying Radicals (A)

🔒 Simplifying Radicals (B)

▶️ Adding and Subtracting Radicals (A)

🔒 Adding and Subtracting Radicals (B)

▶️ Multiplying and Dividing Radicals (A)

🔒 Multiplying and Dividing Radicals (B)

▶️ Practice with the Pythagorean Theorem (A)

▶️ Practice with the Pythagorean Theorem (B)

🔒 Practice with the Pythagorean Theorem (C)

🔒 Practice with the Pythagorean Theorem (D)

🔒 Practice with the Pythagorean Theorem (E)

▶️ Midpoint formula (A)

🔒 Midpoint formula (B)

▶️ Distance formula (A)

🔒 Distance formula (B)

▶️ Solving Radical Equations (A)

🔒 Solving Radical Equations (B)

▶️ Naming polynomials (A)

🔒 Naming polynomials (B)

▶️ Factoring monomials (A)

🔒 Factoring monomials (B)

▶️ Multiplying binomials (A)

🔒 Multiplying binomials (B)

▶️ Adding and subtracting polynomials (A)

🔒 Adding and subtracting polynomials (B)

▶️ Multiplying polynomials (A)

🔒 Multiplying polynomials (B)

▶️ Dividing polynomials (A)

🔒 Dividing polynomials (B)

▶️ Factoring the difference of two squares (A)

🔒 Factoring the difference of two squares (B)

▶️ Factoring trinomials when a=1 (A)

🔒 Factoring trinomials when a=1 (B)

▶️ Factoring trinomials when a ≠ 1 (A)

🔒 Factoring trinomials when a ≠ 1 (B)

▶️ Translating variable expressions into words (A)

🔒 Translating variable expressions into words (B)

▶️ Translating variable equations into words (A)

🔒 Translating variable equations into words (B)

▶️ Writing algebraic expressions (one step) (A)

🔒 Writing algebraic expressions (one step) (B)

🔒 Writing algebraic expressions (one step) (C)

▶️ Writing algebraic expressions (one or two step) (A)

🔒 Writing algebraic expressions (one or two step) (B)

🔒 Writing algebraic expressions (one or two step) (C)

▶️ Evaluating expressions (add/subtract) (one variable) (A)

🔒 Evaluating expressions (add/subtract) (one variable) (B)

▶️ Evaluating expressions (multiply/divide) (one variable) (A)

🔒 Evaluating expressions (multiply/divide) (one variable) (B)

▶️ Evaluating expressions (4 operations) (one variable) (A)

🔒 Evaluating expressions (4 operations) (one variable) (B)

▶️ Evaluating expressions (w/ exponents) (one variable) (A)

🔒 Evaluating expressions (w/ exponents) (one variable) (B)

▶️ Evaluating expressions (add/subtract) (two variables) (A)

🔒 Evaluating expressions (add/subtract) (two variables) (B)

▶️ Evaluating expressions (multiply/divide) (two variables) (A)

🔒 Evaluating expressions (multiply/divide) (two variables) (B)

▶️ Evaluating expressions (4 operations) (two variables) (A)

🔒 Evaluating expressions (4 operations) (two variables) (B)

▶️ Evaluating expressions (w/ exponents) (two variables) (A)

🔒 Evaluating expressions (w/ exponents) (two variables) (B)

▶️ Simplifying expressions (combine like terms) (A)

🔒 Simplifying expressions (combine like terms) (B)

🔒 Simplifying expressions (combine like terms) (C)

▶️ Solving one-step algebraic equations (add/subtract) (A)

🔒 Solving one-step algebraic equations (add/subtract) (B)

▶️ Solving one-step algebraic equations (multiply/divide) (A)

🔒 Solving one-step algebraic equations (multiply/divide) (B)

▶️ Solving one-step algebraic equations (4 operations) (A)

🔒 Solving one-step algebraic equations (4 operations) (B)

🔒 Solving one-step algebraic equations (4 operations) (C)

▶️ Solving two-step algebraic equations (A)

🔒 Solving two-step algebraic equations (B)

🔒 Solving two-step algebraic equations (C)

▶️ Solving 2-sided algebraic equations (A)

🔒 Solving 2-sided algebraic equations (B)

🔒 Solving 2-sided algebraic equations (C)

▶️ Completing two variable equation tables (A)

🔒 Completing two variable equation tables (B)

🔒 Completing two variable equation tables (C)

▶️ Writing equations using tables (A)

🔒 Writing equations using tables (B)

🔒 Writing equations using tables (C)

▶️ Solving multi-step equations (A)

▶️ Solving multi-step equations (B)

🔒 Solving multi-step equations (C)

▶️ Solving absolute value equations (A)

🔒 Solving absolute value equations (B)

▶️ Parallel lines and transversals (algebraic) (A)

🔒 Parallel lines and transversals (algebraic) (B)

▶️ Graphing single-variable inequalities on a number line (A)

🔒 Graphing single-variable inequalities on a number line (B)

▶️ Solving one-step inequalities (A)

🔒 Solving one-step inequalities (B)

▶️ Solving two-step inequalities (A)

🔒 Solving two-step inequalities (B)

▶️ Solving multi-step inequalities (A)

🔒 Solving multi-step inequalities (B)

▶️ Graphing linear inequalities on the coordinate plane (A)

🔒 Graphing linear inequalities on the coordinate plane (B)

🔒 Graphing linear inequalities on the coordinate plane (C)

▶️ Finding slope from a graph (A)

🔒 Finding slope from a graph (B)

▶️ Finding slope using a formula (A)

🔒 Finding slope using a formula (B)

▶️ Finding slope from an equation (A)

🔒 Finding slope from an equation (B)

▶️ Practice with Slope-Intercept Form (A)

🔒 Practice with Slope-Intercept Form (B)

🔒 Practice with Slope-Intercept Form (C)

▶️ Graphing lines in slope-intercept form (A)

▶️ Graphing lines in slope-intercept form (B)

🔒 Graphing lines in slope-intercept form (C)

▶️ Practice Writing Linear Equations (A)

🔒 Practice Writing Linear Equations (B)

▶️ Classifying parallel and perpendicular lines (A)

🔒 Classifying parallel and perpendicular lines (B)

▶️ Practice with Linear Inequalities on the Coordinate Plane (A)

▶️ Practice with Linear Inequalities on the Coordinate Plane (B)

🔒 Practice with Linear Inequalities on the Coordinate Plane (C)

🔒 Practice with Linear Inequalities on the Coordinate Plane (D)

🔒 Practice with Linear Inequalities on the Coordinate Plane (E)

▶️ Graphing absolute value functions (A)

🔒 Graphing absolute value functions (B)

🔒 Graphing absolute value functions (C)

▶️ Solving linear systems of equations by graphing (A)

▶️ Solving linear systems of equations by graphing (B)

🔒 Solving linear systems of equations by graphing (C)

🔒 Solving linear systems of equations by graphing (D)

🔒 Solving linear systems of equations by graphing (E)

▶️ Solving systems of linear inequalities by graphing (A)

▶️ Solving systems of linear inequalities by graphing (B)

🔒 Solving systems of linear inequalities by graphing (C)

🔒 Solving systems of linear inequalities by graphing (D)

🔒 Solving systems of linear inequalities by graphing (E)

▶️ Solving Quadratic Functions by Factoring (A)

🔒 Solving Quadratic Functions by Factoring (B)

🔒 Solving Quadratic Functions by Factoring (C)

▶️ Solving Quadratic Functions by Completing the Square (A)

🔒 Solving Quadratic Functions by Completing the Square (B)

🔒 Solving Quadratic Functions by Completing the Square (C )

▶️ Graphing Quadratic Functions (A)

🔒 Graphing Quadratic Functions (B)

🔒 Graphing Quadratic Functions (C)

▶️ Practice with Mean, Median, and Mode (A)

🔒 Practice with Mean, Median, and Mode (B)

▶️ Drawing line graphs (A)

🔒 Drawing line graphs (B)

▶️ Analyzing line graphs (A)

▶️ Analyzing line graphs (B)

🔒 Analyzing line graphs (C)

🔒 Analyzing line graphs (D)

▶️ Drawing Double Line Graphs (A)

🔒 Drawing Double Line Graphs (B)

▶️ Analyzing Double Line Graphs (A)

▶️ Analyzing Double Line Graphs (B)

🔒 Analyzing Double Line Graphs (C)

▶️ Making Box-and-Whisker Plots (A)

🔒 Making Box-and-Whisker Plots (B)

🔒 Making Box-and-Whisker Plots (C)

▶️ Analyzing Box-and-Whisker Plots (A)

🔒 Analyzing Box-and-Whisker Plots (B)

🔒 Analyzing Box-and-Whisker Plots (C)

▶️ Practice with Scatter Plots (A)

🔒 Practice with Scatter Plots (B)

▶️ Modeling situations using linear equations word problems (A)

🔒 Modeling situations using linear equations word problems (B)

▶️ Variables and expressions word problems (A)

🔒 Variables and expressions word problems (B)

🔒 Variables and expressions word problems (C)

▶️ Variables and equations word problems (A)

🔒 Variables and equations word problems (B)

🔒 Variables and equations word problems (C)

▶️ Scientific Notation Word Problems (A)

🔒 Scientific Notation Word Problems (B)

▶️ GCF and LCM Word Problems (A)

🔒 GCF and LCM Word Problems (B)

▶️ Ratio word problems (A)

🔒 Ratio word problems (B)

▶️ Proportion word problems (A)

🔒 Proportion word problems (B)

▶️ Pythagorean Theorem word problems (A)

🔒 Pythagorean Theorem word problems (B)

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🔒 Multi-step Word Problem: Alejandro’s Rock Collection

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Why Will Your Students will Love Our Algebra Worksheets?

It won’t take long for you to why Mashup Math Algebra Worksheets are the perfect supplement to your lesson plans and instruction.

Our worksheets can boost student engagement and participation because they are designed with the belief that effective math resources should never serve as busy work or focus on making students perform the same procedures mindlessly over and over again. Instead, our Algebra 1 worksheets were designed to help you give your students meaningful opportunities to practice and apply their way skills in a way that they will find interesting and appropriately challenging.

We are highly confident that our worksheets will be an asset to you and your lesson plans and that using them will help you to present math in a way that students will not see as repetitive or dull. Mashup Math worksheets make a great supplement to any lesson plan or homework assignment and having access to our complete Algebra Worksheets library will come in handy countless times throughout the school year.

Our Algebra 1 Worksheets can be used in a variety of ways including homework assignments, warm-up and cool-down activities, and topic reviews.

If you need suggestions our how the best use our Algebra 1 worksheets with your students, here are a few awesome ideas for ways that you can use our worksheets:

Students practice or study a topic independently

Students complete assignments for extra credit

Students complete worksheet problems during the first 5 minutes of class (warm-up)

Students complete worksheet problems during the last 5 minutes of class (exit ticket)

Students complete worksheets as homework assignments

Students complete worksheets to review previously learned topics

Formative assessments

Summative assessments

These ideas are all effective ways to use our algebra worksheets to supplement your algebra lessons and support your students. By giving your algebra students ample opportunities to engage with, explore, and practice math in an engaging way, you are supporting their development as mathematicians and problem solvers.

Great algebra teachers use effective and engaging topic-specific activities and resources to keep their lessons fresh and interesting for students, and our library of algebra 1 worksheets is the perfect addition to any teacher’s portfolio. When it comes to best meeting the needs of your students, it is crucial to present algebra in a way that is inspirational, interesting, and engaging in order create an environment where they are appropriately challenged and able to strengthen their math skills to levels that will allows them to be successful in college and beyond.

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EQUATION WORKSHEETS

Home > Equation

An Equation is a mathematical statement that asserts that two expressions are equal. It typically consists of variables, constants, and mathematical operations such as addition, subtraction, multiplication, division, exponentiation, and so on. Equations are used to represent relationships between quantities and to solve for unknown values. One step, Two step, Multi step equation worksheets, solving quadratic equation worksheets are also included here. Grade 6 and 7 students can download these worksheets for practice.

  EQUATION  WORKSHEETS

• ONE STEP EQUATION

A one-step equation is a mathematical equation that can be solved in a single step or operation to find the value of the unknown variable. The most common types of one-step equations involve addition, subtraction, multiplication, or division.

• TWO STEP EQUATION

A two-step equation is a mathematical equation that requires two distinct steps or operations to solve and find the value of the unknown variable. These equations involve more complexity compared to one-step equations.

• MULTI STEP EQUATION

A multi-step equation is a mathematical equation that requires more than two distinct steps or operations to solve and find the value of the unknown variable. These equations can involve various combinations of addition, subtraction, multiplication, division, and even other mathematical operations.

• GRAPHING LINEAR EQUATION

Quadratic equations are polynomial equations of the second degree, typically written in the form: ax 2 +bx+c=0 where a, b and c are constants, and a is not equal to zero. 

• SOLVING QUADRATIC EQUATION

Creating a worksheet focused on evaluating algebraic identities can be a useful way for students to practice simplifying expressions based on known identities. These worksheets are specially designed for Grades 7 and 8. Use the links below to download the worksheets.

• ROOTS OF QUADRATIC EQUATION

The roots of a quadratic equation are the values of the variable x that make the equation equal to zero. These roots are also known as solutions or zeros of the quadratic equation.

POPULAR TAGS   :    Algebraic Scientific Notation, Algebraic Order of Notation, Algebra Notations, Ratio worksheets, Pre algebra worksheets, order of operations

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Basic Algebra Worksheets

Welcome to the Math Salamanders' Basic Algebra Worksheets. Here you will find a range of algebra worksheets to help you learn about basic algebra, including generating and calculating algebraic expressions and solving simple problems.

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Generate the Expression Worksheets

Calculate the Expression Worksheets

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• More recommended resources
• Basic Algebra Online Quiz

Want to gain a basic understanding of algebra?

Looking for some simple algebra worksheets?

Do you need a bank of useful algebra resources?

Look no further! The pages you need are below!

Here is our selection of basic algebra sheets to try.

We have split the worksheets up into 3 different sections:

• Generate the algebra - and write your own algebraic expressions;
• Calculate the algebra - work out the value of different expressions;
• Solve the algebra - find the value of the term in the equation.

By splitting the algebra up into sections, you only need to concentrate on one aspect at a time!

Each question sheet comes with its own separate answer sheet.

Want to test yourself to see how well you have understood this skill?.

• Try our NEW quick quiz at the bottom of this page.

What is an algebraic expression?

An expression is a mathematical statement where variables and operations are combined.

• 2a + 5 is an expression involving the variable a
• 5(y 2 - 6) is another expression

What is an algebraic equation?

An equation is where an algebraic expression is equal to something, which might be a number, or another algebraic expression.

• 2a + 5 = 7 is an equation
• 5(y 2 - 6) = 3y + 8 is another equation

How to Generate an Expression

When we are generating an expression, we are taking a rule and turning it into algebra.

• Subtract 6 from n could be written as n - 6.
• Multiply d by 4 could be written as d x 4 or 4d.
• Add 5 to p and then double the result is written as (p + 5) x 2 or 2(p + 5)

How to Calculate an Expression

When we are calculating the value of an expression, we work out the value of the expression when we give a value to the variable.

• p + 5 has a value of 11 when p = 6 because 6 + 5 = 11
• 4(n - 2) has a value of 32 when n = 10 because 4 x (10 - 2) = 4 x 8 = 32
• 4(n - 2) has a value of -8 when n = 0 because 4 x (0 - 2) = 4 x (-2) = -8

How to Solve a Simple Equation

When we are solving an equation, we are finding out the value(s) of the variable in the equation.

• If p + 5 = 9 then p = 4 because 4 + 5 = 9
• then (n - 2) = 28 ÷ 4 = 7
• if (n - 2) = 7 then n = 7 + 2 = 9
• Answer: n = 9
• means that 3f = 12
• so f = 12 ÷ 3 = 4
• Answer: f = 4

Basic Algebra Worksheets for kids

• Generate the Expression 1
• PDF version
• Generate the Expression 2
• Generate the Expression 3

Generate the Expression Word Problems

• Algebra Word Problems 1
• Algebra Word Problems 2
• Algebra Word Problems 3
• Algebra Word Problems 3 UK Version

Algebra Word Problems Walkthrough Video

This short video walkthrough shows the problems from our Algebra Word Problems Worksheet 2 being solved and has been produced by the West Explains Best math channel.

If you would like some support in solving the problems on these sheets, please check out the video below!

• Calculate the Expression 1
• Calculate the Expression 2
• Calculate the Expression 3

Solve the Equation Worksheets

• Solve the Equation 1
• Solve the Equation 2
• Solve the Equation 3

More Recommended Math Worksheets

Take a look at some more of our worksheets similar to these.

Free Algebra Problem Solver

The Mathway Calculator is a great way to solve algebra problems that you can type into a calculator.

Try using this online calculator tool to solve one of your problems and watch it work!

There are a range of calculators to choose from to meet your needs.

The Mathway problem solver will answer your problem instantly and also give you a link to view each of the steps needed.

If you choose to 'View the steps' you will be directed to the Mathway website where you will be able to see in more detail each of the steps needed to solve the problem. Please note that Mathway may charge you a small fee for this!

• 6th Grade Distributive Property Worksheets

The sheets on this page have been designed to factorize and expand a range of simple expressions using the distributive property..

• Expressions and Equations 6th Grade

The sheets on this page have been specially designed for 6th graders and are a great introduction to expressions and equations.

Factorising Quadratic Equations

Are you stuck on a quadratic equation and don't know what to do?

Are you looking for some worksheets on factorising quadratic equations to print out?

Take a look at our support pages on quadratic equations where you will hopefully find what you are looking for.

• Factorising Quadratic Equations Support page
• Factoring Quadratic Equations worksheets
• Algebra Math Games

If you are looking for a fun printable algebra game to play then try out our algebra game page.

You will find a range of algebra games that make learning algebra fun and non-threatening.

The only equipment you need is a scientific calculator, some dice, and a few counters!

PEMDAS Worksheets

The sheets in this section involve using parentheses and exponents in simple calculations.

There are also lots of worksheets designed to practice and learn about PEMDAS.

Using these worksheets will help your child to:

• know and understand how parentheses works;
• understand how exponents work in simple calculations.
• understand and use PEMDAS to solve a range of problems.
• PEMDAS Problems Worksheets 5th Grade
• 6th Grade Order of Operations

Interactive Equality Explorer

This interactive equality explorer has been produced by PhET Interactive Simulations at the University of Colorado.

It is a useful tool for exploring different ideas including negative numbers and algebra equations and equality.

Probably the most useful part of the app is to use the 'Solve It' section once you are confident how it works.

You can then select your level of difficulty and start solving some algebraic equations by getting your variables onto one side of the equation and the numerical values on the other, and then multiplying or dividing the equation until you find the value of the required variable.

• Interactive Equality Explorer by PhET

Basic Algebra Quiz

Our quizzes have been created using Google Forms.

At the end of the quiz, you will get the chance to see your results by clicking 'See Score'.

This will take you to a new webpage where your results will be shown. You can print a copy of your results from this page, either as a pdf or as a paper copy.

For incorrect responses, we have added some helpful learning points to explain which answer was correct and why.

We do not collect any personal data from our quizzes, except in the 'First Name' and 'Group/Class' fields which are both optional and only used for teachers to identify students within their educational setting.

We also collect the results from the quizzes which we use to help us to develop our resources and give us insight into future resources to create.

For more information on the information we collect, please take a look at our Privacy Policy

We would be grateful for any feedback on our quizzes, please let us know using our Contact Us link, or use the Facebook Comments form at the bottom of the page.

This quick quiz tests your knowledge and skill at generating and calculating expressions, as well as solving equations.

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Quadratic Equation Worksheets (pdfs)

Free worksheets with answer keys.

Enjoy these free sheets. Each one has model problems worked out step by step, practice problems, as well as challenge questions at the sheets end. Plus each one comes with an answer key.

• Solve Quadratic Equations by Factoring
• Solve Quadratic Equations by Completing the Square
• Quadratic Formula Worksheet (real solutions)
• Quadratic Formula Worksheet (complex solutions)
• Quadratic Formula Worksheet (both real and complex solutions)
• Discriminant Worksheet
• Sum and Product of Roots
• Radical Equations Worksheet

Ultimate Math Solver (Free) Free Algebra Solver ... type anything in there!

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Two Step Problems Maze (All Positive Numbers) All Types & All Operators Equations Worksheets Math Pr

Subject: Mathematics

Age range: 5-7

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Two Step Problems Maze (All Positive Numbers) All Types & All Operators Equations Worksheets Math Problems “Two-step Addition, Subtraction, Division & Multiplication Worksheets Problems” is a comprehensive resource designed to strengthen students’ proficiency in fundamental arithmetic operations. These worksheets offer a structured approach to mastering two-step problem-solving, integrating addition, subtraction, division, and multiplication. Varied Problem Types: Each worksheet presents a range of two-step problems, ensuring students encounter diverse scenarios that require different combinations of operations. Progressive Difficulty: Problems are organized by complexity, allowing students to gradually advance from basic to more challenging tasks. Answer Keys: Detailed answer keys accompany each worksheet, facilitating easy assessment and providing students with immediate feedback. Skill Reinforcement: Through repeated practice, students reinforce their understanding of addition, subtraction, division, and multiplication, building fluency and confidence. Whether used in the classroom, for homework assignments, or as supplementary practice, “Two-step Addition, Subtraction, Division & Multiplication Worksheets Problems” equips students with the skills they need to tackle multi-step mathematical problems with confidence and precision. Worksheets are made in 8.5” x 11” Standard Letter Size. This resource is helpful in students’ assessment, Independent Studies, group activities, practice and homework. This product is available in PDF format and ready to print as well.

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