pre algebra proportions worksheet

Ratios, Unit Rates, and Proportions

Worksheet (Pre-Algebra)

Ratios, Unit Rates, and Proportions Worksheet

Lesson: , subject: .

• Pre-Algebra

Topics: 

• Proportions

Number of Problems: 

Pages: , answer key: , samples: .

Free Pre-Algebra Worksheet

1. Suppose a class has 14 redheads, 8 brunettes, and 6 blondes. a. What is the ratio of redheads to brunettes? b. What is the ratio of redheads to blondes? c. What is the ratio of blondes to brunettes? d. What is ratio of blondes to total students?

2. Express the following as ratios in fraction form and reduce (simplify).

3. Write the unit rate for each situation. (HINT: With unit rates and unit prices, the denominator in the ratio must be 1). a. earn $92 in 8 hours.

4. Find each unit price. Then determine which is the better buy. Show work.

a. Which is the better buy – 10 pencils for $1.10 or 30 pencils for $3.15?

5. Solve each proportion.

6. Use a proportion to find each missing number. a. 175 days = _______ weeks

7. For the following problems, set up a proportion and solve. a. At the Copy Shoppe, 18 copies cost $1.08. At this rate, how much will 40 copies cost?

d. You can do 12 math problems in 45 minutes. At this rate, how long will it take you to do 20 math problems.

e. A baseball team scores 4 runs in the first three innings of a 9-inning baseball game. If it continues at that rate, how many runs will it score in the game.?

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Real World Algebra by Edward Zaccaro

Algebra is often taught abstractly with little or no emphasis on what algebra is or how it can be used to solve real problems. Just as English can be translated into other languages, word problems can be "translated" into the math language of algebra and easily solved. Real World Algebra explains this process in an easy to understand format using cartoons and drawings. This makes self-learning easy for both the student and any teacher who never did quite understand algebra. Includes chapters on algebra and money, algebra and geometry, algebra and physics, algebra and levers and many more. Designed for children in grades 4-9 with higher math ability and interest but could be used by older students and adults as well. Contains 22 chapters with instruction and problems at three levels of difficulty.

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Pre-algebra

Unit 1: factors and multiples, unit 2: patterns, unit 3: ratios and rates, unit 4: percentages, unit 5: exponents intro and order of operations, unit 6: variables & expressions, unit 7: equations & inequalities introduction, unit 8: percent & rational number word problems, unit 9: proportional relationships, unit 10: one-step and two-step equations & inequalities, unit 11: roots, exponents, & scientific notation, unit 12: multi-step equations, unit 13: two-variable equations, unit 14: functions and linear models, unit 15: systems of equations.

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• Powers of 10 (Multiplication) –
• Powers of 10 (Division) –
• Fractions to Decimals & Percents (easy) –
• Fractions to Decimals & Percents (difficult) –
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• Percent of Increase and Decrease –
• Discounts and Markups –
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• Units Rates & Proportions
• Fractions, Decimals and Percents –

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Ratio Worksheets

Immerse yourself in practice with our printable ratio worksheets. Whether it is part-to-part ratios, part-to-whole ratios, identifying parts from the whole, or finding the whole from the parts, dividing quantities, generating equivalent ratios, or expressing the ratio in three different ways, that you are looking for, these pdfs have them all covered for your grade 5 through grade 8 learners. Instantly evaluate your ratio problems with the answer keys provided. Our free ratio worksheets are a must-have to get the ball rolling!

Part-to-Part Ratio | Level-1

Perk up with these part-to-part ratio worksheets and get children in grade 5 and grade 6 to count how many of one thing there is as compared to another and express it as a ratio.

• Download the set

Part-to-Part Ratio | Level-2

Fuel learning with these ratio pdfs where the two sets of objects are mixed up. Count the number of each kind and frame a ratio comparing the size of one number to the size of the other.

Part-to-Whole Ratio | Level-1

Comparing the number of butter cookies to the assorted cookies in a jar is an example of part-to-whole ratios. Measure the quantity of one item against the total and write the ratio.

Part-to-Whole Ratio | Level-2

Upscale with these printable part-to-whole ratio worksheets. Direct children to count the number of specified objects, add the three terms to find the whole and express them as a ratio.

Expressing Ratio in Three Ways | Pictures

Get acquainted with the different representations of a ratio. Count the two different sets of pictures and express the ratio by using "to", the colon symbol ":", and the fraction notation.

Representing Ratio in Three Ways | Standard

Doing away with pictures and presenting ratio in word format, these ratio worksheets are a sure-fire way to help learners transit easily as they read phrases and express the ratio in three ways.

Drawing Shapes to Represent the Ratio

Break away from the humdrum of regular printable ratio worksheets and get children to stay in the groove as they follow the instructions and sketch shapes to represent the ratio.

Coloring Objects to Represent the Ratio

Add a splash of color with these pdf worksheets where 5th grade, and 6th grade children are expected to color the specified number of objects as instructed and figure out the ratio.

Reducing Ratios to the Lowest Terms | Easy

Reducing is nothing but converting the ratio to its simplest form. Divide the antecedent and the consequent terms of the ratio, which are numbers within 50, by the GCF to reduce the ratio.

Reducing Ratios to the Lowest Terms | Moderate

Raise the bar for grade 6 and grade 7 learners with these reducing the ratios to the lowest terms worksheets where the number range gradually increases to 100.

Simplifying Ratios Involving Unit Conversion | Easy

Take your simplifying ratio skills to new heights with these pdfs. Using appropriate conversion formulas, make the units uniform and reduce the ratio to the simplest terms.

Simplifying Ratios Involving Unit Conversion | Moderate

Bring uniformity in the units before reducing the ratio to lowest terms as you make headway with these printable simplifying ratio worksheets involving numbers within 100.

Finding the Parts from the Whole

Add up the terms of the ratio. Divide the whole quantity by the sum of the parts to find the unit rate. Multiply each term with the unit rate to find the two parts. Not as complicated as it sounds!

Finding the Whole from Parts

The ratio of two numbers and the quantity of one part is provided. Scale up the other term by multiplying it and figure out the other quantity, add the two quantities to find the whole.

Dividing Quantities into 3-Part Ratios

Add the three terms to find the total number of parts the quantity should be divided into. Multiply each term in the ratio with the unit rate and share the quantity in the given ratio.

Writing the Equivalent Ratios

Scale up each ratio by multiplying the antecedent and the consequent terms by the same number and write an equivalent ratio and complete the table with the missing equivalent ratios.

Finding Unknown Quantities from Equivalent Ratios

Instruct 7th grade and 8th grade learners to simplify ratios and check for equivalence, work out the unknown quantity in an equivalent equation, and solve word problems too.

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Go beyond books and practice the real-time application of ratio concepts as you solve word problems involving part-to-part ratios, part-to-whole ratios, and much more.

(27 Worksheets)

Proportion Worksheets

Comprehend the distinction between ratio and proportion with this batch of proportion worksheets offering exercises like finding proportions, identifying them from graphs, and more!

(120 Worksheets)

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