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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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Critical Thinking Reading Comprehension Worksheets

• Take these as online quizzes here!

Short Story Reading Comprehension Worksheets

• Beginning Level
• Answers for this series are included at the end of each worksheet.
• "My Friend" - Low Beginning. 3 answer choices. 7 questions. 74 words.
• "My House" - Low Beginning. 3 answer choices. 7 questions. 92 words.
• "Time to..." - Low Beginning. 4 answer choices. 11 questions. 89 words.
• "My Family" - Low Beginning. 4 answer choices. 6 questions. 90 words.
• "Rainy Day" - Low Beginning. 4 answer choices. 5 questions. 78 words.
• "A Call to the Pool" - Low Beginning. 4 answer choices. 5 questions. 116 words.
• "The Singing Bird" - Low Beginning. 4 answer choices. 5 questions. 96 words.
• "Seeing Stars" - Low Beginning. 4 answer choices. 8 questions. 92 words.
• "I Fly" - Low Beginning. 4 answer choices. 4 questions. 113 words.
• "The Drive" - Mid Beginning. 4 answer choices. 10 questions. 120 words.
• "Zach's Animals" - Mid Beginning. 4 answer choices. 10 questions. 104 words.
• "Griffin's Talents" - Mid Beginning. 4 answer choices. 9 questions. 112 words.
• "A Happy Visitor" - Mid Beginning. 4 answer choices. 5 questions. 170 words.
• "An Adventure" - Mid Beginning. 4 answer choices. 5 questions. 177 words.
• "Running" - Mid Beginning. 4 answer choices. 5 questions. 148 words.
• "Paul Cooks" - Mid Beginning. 4 answer choices. 10 questions. 112 words.
• "Bella Hides" - Mid Beginning. 4 answer choices. 8 questions. 135 words.
• "First Prize" - Mid Beginning. 4 answer choices. 8 questions. 155 words.
• "What Number?" - Mid Beginning. 4 answer choices. 12 questions. 154 words.
• "The Interview" - High Beginning. 4 answer choices. 9 questions. 205 words.
• "Julian's Work" - High Beginning. 4 answer choices. 12 questions. 194 words.
• "Talia's Special Day" - High Beginning. 4 answer choices. 10 questions. 204 words.
• "One Hundred Dollars" - High Beginning. 4 answer choices. 13 questions. 273 words.
• "New Shoes for Maddy" - High Beginning. 4 answer choices. 11 questions. 223 words.
• "The 20" - High Beginning. 4 answer choices. 12 questions. 256 words.
• "Big City Noise" - High Beginning. 4 answer choices. 13 questions. 238 words.
• Intermediate Level
• "By the Water" - Low Intermediate. 4 answer choices. 9 questions. 225 words.
• "A Cold Day" - Low Intermediate. 4 answer choices. 14 questions. 286 words.
• "Vet Emergency!" - Low Intermediate. 4 answer choices. 10 questions. 247 words.
• "Late" - Low Intermediate. 4 answer choices. 14 questions. 284 words.
• "The Brenners" - Low Intermediate. 4 answer choices. 13 questions. 297 words.
• "Bullied" - Low Intermediate. 4 answer choices. 13 questions. 197 words.
• "The New School" - Low Intermediate. 4 answer choices. 14 questions. 286 words.
• "The Park" - Low Intermediate. 4 answer choices. 11 questions. 297 words.
• "Worth Working For" - Mid Intermediate. 4 answer choices. 10 questions. 280 words.
• "The Rent Man" - Mid Intermediate. 4 answer choices. 12 questions. 215 words.
• "Time with Grandpa" - Mid Intermediate. 4 answer choices. 9 questions. 237 words.
• "The Bus Driver" - Mid Intermediate. 4 answer choices. 15 questions. 294 words.
• "A Day Like No Other" - Mid Intermediate. 4 answer choices. 12 questions. 305 words.
• "A Mystery" - Mid Intermediate. 4 answer choices. 10 questions. 247 words.
• "Just One Touch" - Mid Intermediate. 4 answer choices. 15 questions. 326 words.
• "Wanga" - Mid Intermediate. 4 answer choices. 13 questions. 340 words.
• "Ana Finds an Apartment" - Mid Intermediate. 4 answer choices. 12 questions. 408 words.
• "Guermo's Surprise" - High Intermediate. 4 answer choices. 9 questions. 372 words .
• "Canopy of Nature" - High Intermediate. 4 answer choices. 8 questions. 332 words .
• "Blizzard in Birmingham" - High Intermediate. 4 answer choices. 10 questions. 319 words.
• "A Christmas in March" - High Intermediate. 4 answer choices. 10 questions. 385 words.
• "Bail" - High Intermediate. 4 answer choices. 10 questions. 301 words.
• "Clean Water Act" - High Intermediate. 4 answer choices. 10 questions. 632 words.
• "BB" - High Intermediate. 4 answer choices. 10 questions. 511 words .
• Advanced Level
• "The Mini Problem" - Low Advanced. 4 answer choices. 10 questions. 291 words .
• "Flower Power" - Low Advanced. 4 answer choices. 10 questions. 368 words.
• "Seeing Clearly" - Low Advanced. 4 answer choices. 10 questions. 284 words .
• "Accused" - Low Advanced. 4 answer choices. 12 questions. 285 words.
• "City Girl" - Low Advanced. 4 answer choices. 13 questions. 429 words.
• "Fried" - Mid Advanced. 4 answer choices. 10 questions. 235 words.
• "Tattoo" - Mid Advanced. 4 answer choices. 11 questions. 350 words.
• "The Transfers" - Mid Advanced. 4 answer choices. 12 questions. 381 words.
• "Wild" - Mid Advanced. 4 answer choices. 10 questions. 493 words.
• "Scorpion" - Low Advanced. 4 answer choices. 10 questions. 333 words
• "Remains of a Marriage" - Mid Advanced. 4 answer choices. 11 questions. 345 words.
• "Museum Hours" - Mid Advanced. 4 answer choices. 10 questions. 179 words.
• "Seeing Through" - High Advanced. 5 answer choices. 10 questions. 326 words.
• "Ursula Pugh" - High Advanced. 5 answer choices. 8 questions. 324 words.
• "Dreams" - High Advanced. 4 answer choices. 12 questions. 357 words.
• "Tracks" - High Advanced. 5 answer choices. 11 questions. 531 words.
• "Love Train" - High Advanced. 5 answer choices. 12 questions. 646 words.
• "The Storm" - High Advanced. 4 answer choices. 12 questions. 407 words.

Informational Passages Reading Comprehension Worksheets

In these reading comprehension worksheets, students are asked questions about information they have read about a specific topic. each passage reads similar to a newspaper of journal article, and provides interesting information about some aspect of history, nature, mechanics, science, art, and more. questions involve critical thinking with a focus on logic and inference..

• Answer Key - This answer key is available but still under development.
• "The Sun" - Low Beginning. 3 questions. Under 50 words.
• "Gas" - Low Beginning. 3 questions. Under 50 words.
• "Music" - Low Beginning. 4 questions. Under 50 words.
• "Birds" - Low Beginning. 4 questions. Under 50 words.
• "The Heart" - Low Beginning. 4 questions. Under 50 words.
• "The Butterfly" - Low Beginning. 5 questions. Under 50 words.
• "Pigs" - Low Beginning. 3 questions. Under 50 words.
• "The Brain" - Low Beginning. 3 questions. Under 50 words.
• "The Ocean" - Low Beginning. 7 questions. Under 100 words.
• "Trees" - Low Beginning. 4 questions. Under 100 words.
• "Alligators" - Low Beginning. 6 questions. Under 100 words.
• "The Blow-Dryer" - Low Beginning. 5 questions. Under 100 words.
• "Green Grass" - Low Beginning. 6 questions. Under 100 words.
• "Taste" - Low Beginning. 4 questions. Under 100 words.
• "Bees" - Mid Beginning. 10 questions. Under 200 words.
• "Frogs" - Mid Beginning. 10 questions. Under 200 words.
• "Beds" - Mid Beginning. 10 questions. Under 200 words.
• "Humans" - Mid Beginning. 10 questions. Under 200 words.
• "Fish" - Mid Beginning. 10 questions. Under 200 words.
• "Houses" - Mid Beginning. 10 questions. Under 300 words.
• "Soda Pop" - High Beginning. 10 questions. Under 200 words.
• "Tea" - High Beginning. 10 questions. Under 200 words.
• "Ice Fishing" - High Beginning. 10 questions. Under 300 words.
• "Bears" - High Beginning. 10 questions. Under 300 words.
• "Flags" - High Beginning. 10 questions. Under 300 words.
• "Leonardo Da Vinci" - High Beginning. 10 questions. Under 300 words..
• "Tennis" - High Beginning. 10 questions. Under 300 words.
• "Dogs" - High Beginning. 10 questions. Under 300 words.
• "Money" - High Beginning. 10 questions. Under 300 words.
• "Abraham Lincoln" - High Beginning. 10 questions. Under 300 words.
• "Corn" - High Beginning. 10 questions. Under 300 words.
• "Umbrellas" - High Beginning. 10 questions. Under 300 words.
• "Ben Franklin" - High Beginning. 10 questions. Under 300 words.
• "Cars" - High Beginning. 10 questions. Under 300 words.
• Answer Key - This is the answer key for to the intermediate level informational passages.
• "Helicopters" - Low Intermediate. 10 questions. Under 300 words.
• "Yellowstone National Park" - Low Intermediate. 10 questions. Under 400 words.
• "Empress of the Blues" - Low Intermediate. 10 questions. Under 400 words.
• "The Cactus" - Low Intermediate. 10 questions. Under 400 words.
• "Space Exploration Voyagers 1 and 2" - Mid Intermediate. 10 questions. Under 400 words.
• "Television" - Mid Intermediate. 10 questions. Under 400 words.
• "Hibernation and Estivation" - Mid Intermediate. 10 questions. Under 400 words.
• "Marco Polo" - Mid Intermediate. 10 questions. Under 400 words.
• "Movie Ratings" - Mid Intermediate. 10 questions. Under 400 words.
• "Birdsongs" - Mid Intermediate. 10 questions. Under 400 words.
• "Counting" - Mid Intermediate. 10 questions. Under 400 words.
• "Easter Island" - High Intermediate. 10 questions. Under 400 words.
• "Mosquitoes" - High Intermediate. 12 questions. Under 700 words.
• "Fingerprints" - High Intermediate. 11 questions. Under 700 words.
• "Mother's Day" - High Intermediate. 10 questions. Under 700 words.
• "Europe" - High Intermediate. 12 questions. Under 700 words.
• Answer Key - This is the answer key for to the advanced level informational passages.
• "Chocolate" - Low Advanced. 10 questions. Under 600 words.
• "Houses Around the World" - Low Advanced. 10 questions. Under 700 words.
• "Cells" - Low Advanced. 10 questions. Under 700 words.
• "Soccer" - Low Advanced. 12 questions. Under 700 words.
• "Bathtubs" - Low Advanced. 12 questions. Under 700 words.
• "Pollution" - Low Advanced. 12 questions. Under 700 words.
• "Interstate Highways" - Low Advanced. 10 questions. Under 800 words.
• "The U.S. Census" - Low Advanced. 10 questions. Under 800 words.
• "Sleep" - Low Advanced. 11 questions. Under 800 words.
• "The U.S. Postal Service" - Mid Advanced. 11 questions. Under 800 words.
• "Chemical Elements" - Mid Advanced. 11 questions. Under 800 words.
• "Africa" - Mid Advanced. 11 questions. Under 1000 words.

Technical Reading Comprehension Worksheets

In these reading comprehension worksheets, students are asked questions about the meaning, significance, intention, structure, inference, and vocabulary used in each passage. each passage reads like an encyclopedic or technical journal article. answers for worksheets in this section can be found at the end of each individual worksheet..

• "Water" - Beginning level. 3 questions with answers included. Under 300 words.
• "Paper" - Beginning level. 3 questions with answers included. Under 300 words.
• "The Flu" - Beginning level. 3 questions with answers included. Under 400 words.
• "Nuts" - Beginning level. 3 questions with answers included. Under 400 words.
• "The Sun" - Beginning level. 3 questions with answers included. Under 400 words.
• "The White House" - Beginning level. 3 questions with answers included. Under 400 words.
• "Soap" - Intermediate level. 3 questions with answers included. Under 400 words.
• "Clocks" - Intermediate level. 3 questions with answers included. Under 400 words.
• "The Robin" - Intermediate level. 3 questions with answers included. Under 400 words.
• "Hybrid Vehicles" - Intermediate level. 4 questions with answers included. Under 500 words.
• "Photography" - Intermediate level. 3 questions with answers included. Under 500 words.
• "Biomimetics" - Intermediate level. 4 questions with answers included. Under 700 words.
• "The Great Debates" - Intermediate level. 3 questions with answers included. Under 400 words.
• "Salt" - Advanced level. 3 questions with answers included. Under 700 words.
• "Colony Collapse" - Advanced level. 3 questions with answers included. Under 600 words.
• "Columbian Exchange" - Advanced level. 3 questions with answers included. Under 700 words.
• "Ethanol" - Advanced level. 3 questions with answers included. Under 600 words.
• "Generations" - Advanced level. 3 questions with answers included. Under 600 words.
• "The Hubble Telescope" - Advanced level. 7 questions with answers included. Under 1000 words.
• "Intellegence Augmentation" - Advanced level. 5 questions with answers included. Under 1000 words.

Role Play Reading Comprehension Worksheets

In these reading comprehension worksheets, students can increase their understanding of colloquial and idiomatic expressions and get a feel for conversational english. they also allow several students to participate at the same time - which makes them really fun great for use in school or at home..

• Answer Key - This is the answer key to the role play worksheets.
• "What Time Is It?" - Beginning Level. 4 questions. Under 100 words.
• "How Are You?" - Beginning Level. 4 questions. Under 100 words.
• "Tie Your Shoes!" - Beginning Level. 4 questions. Under 100 words.
• "Where Are My Glasses?" - Beginning Level. 4 questions. Under 100 words.
• "A Cookie" - Beginning Level. 4 questions. Under 100 words.
• "Where Are My Keys?" - Beginning Level. 4 questions. Under 100 words.
• "City Life, Country Life" - Beginning Level. 10 questions. Under 200 words.
• "Flu Shot" - Intermediate Level. 5 questions. Under 200 words.
• "Vinegar" - Intermediate Level. 4 questions. Under 200 words.
• "Wait for Me!" - Intermediate Level. 8 questions. Under 400 words.
• "Glasses" - Intermediate Level. 8 questions. Under 400 words.
• "Hungry" - Advanced Level. 8 questions. Under 400 words.
• "Want to Know a Secret?" - Advanced Level. 8 questions. Under 200 words.
• "Milk and Aesthetics" - Advanced Level. 8 questions. Under 500 words.

Dual Version Reading Comprehension Worksheets

In each of these reading comprehension worksheets, the same story is told, but with two versions: one that is basic, and one that is more advanced. this allows students to make direct comparisons between the advanced version to the more basic one, and makes for a powerful learning experience..

• Answer Key - Coming Soon!
• "An Overcast Day" - Beginning Level. 4 questions. Under 200 words.
• "Who Knows My Name?" - Beginning Level. 4 questions. Under 200 words.
• "A Call to the Pool" - Beginning Level. 6 questions. Under 300 words.
• "Oh No!" - Beginning Level. 8 questions. Under 300 words.
• "An Adventure" - Beginning Level. 6 questions. Under 400 words.
• "Happy Birthday" - Beginning Level. 4 questions. Under 400 words.
• "My Family" - Beginning Level. 8 questions. Under 300 words.
• "My Family" - Beginning Level. 5 questions. Under 300 words.
• "Driving Directions" - Beginning Level. 6 questions. Under 400 words.
• "A Happy Visitor" - Beginning Level. 7 questions. Under 300 words.
• "The Singing Bird" - Intermediate Level. 10 questions. Under 300 words.
• "Violet Makes a Cake" - Intermediate Level. 8 questions. Under 400 words.
• "A Visit to the Doctor" - Intermediate Level. 7 questions. Under 400 words.
• "Making Dinner" - Intermediate Level. 8 questions. Under 400 words.
• "The Market" - Intermediate Level. 10 questions. Under 500 words.
• "Maria Gets Her License" - Intermediate Level. 8 questions. Under 500 words.
• "A Paper for School" - Advanced Level. 7 questions. Under 300 words.
• "A Birthday Surprise" - Advanced Level. 7 questions. Under 600 words.
• "Getting a New Job" - Advanced Level. 8 questions. Under 600 words.
• "The Dinner Party" - Advanced Level. 9 questions. Under 600 words.

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how to consolidate rows

I have a worksheet where there are multiple rows with the same unique identifier, but each row has several columns of data. I want to combine them down to one row per unique identifier while keeping the columns. If all rows with the same ID have blanks, leave the column blank. If any column has data, consolidate it down to the one row. Data will not overlap/overwrite in the worksheet due to the nature of the data. I have absolutely no idea how to get this done without going one at a time and I have over 1,000 rows. Please help!!!!

The table might look like:

and what I want to get would be:

I really could use a life saver here... I'm desperate and have to submit the data table ASAP.

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Replies (2) 

• Microsoft Agent |

Hi Carla Kline,

Based on your description, it seems like that you want to know how to implement de-duplication and merge rows via VBA, we can fully understand your distress and will do everything we can to help you.

Based on your example, I have written a VBA script for you, you can run the script by following these steps:

Click on Developer on Ribbon.

Click on Macros .

In the newly open window, enter a name, for example, in my case, test, and click Create .

Paste the following code between Sub test() and End Sub.

Press Ctrl + S to save the code and click Yes if you get a popup.

Select the sheet you want to de-merge, click on Macros on Ribbon.

Select the macro you just created, and then click Run .

If everything works fine, the data should be organized like this:

If you want to do further testing or any want to exchange ideas, I will share the Excel document containing the Macro with you in a private message, you can open a private message by clicking on your avatar in the upper right corner of the screen, clicking on the three dots, and clicking on View Private Message .

If you have further questions, please feel free to contact us!

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"Election Reflections: UK's General Election 4th July 2024 Text, Worksheets & Answers!"

Subject: English

Age range: 7-11

Resource type: Lesson (complete)

Last updated

23 May 2024

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Dive into the thrilling world of British politics with “Election Reflections: UK’s General Election 2024 Text, Worksheets & Answers”! This engaging resource provides a comprehensive look at the UK’s election process, perfect for sparking curiosity and understanding. All in line with the general elections taking place on 4th July 2024.

Usage for Teachers, Pupils and Parents:

Teachers can effortlessly integrate this into their curriculum to enhance lessons on democracy and governance. Pupils can explore the text and tackle the worksheets to deepen their understanding, while parents can use it to engage with their children on current events and civic duty. Answer pages are also included.

Essential for Upcoming Events:

With the general election on the 4th of July 2024, this resource is timely and essential. It prepares young minds to grasp the significance of elections, fostering informed and responsible future voters.

Equip your classroom or home with this invaluable resource to make learning about politics exciting and relevant. It’s an investment in fostering a well-informed, engaged young citizenry.

Teacher Endorsement:

“An outstanding resource! The text is clear, the questions are thought-provoking, and the answers provide excellent guidance. My students loved it and learned so much!” - Mrs. Taylor, Grade 7 Social Studies Teacher

Target Age and Grade:

This resource is specifically designed for students aged 8-14, corresponding to Grades 3-8. It’s tailored to be accessible and educational for this age group.

Get ready to explore, learn and understand with “Election Reflections: UK’s General Election 2024 Text, Worksheets & Answers”!

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