solving rate problems with proportions worksheet

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Solving Proportions Worksheets

Learn how to solve proportions with this set of printer-friendly worksheets that are specially designed for students of grade 6 through high school. A series of multi-level worksheets require students to solve proportions using the cross product method and the answers so derived will be in the form of whole numbers, fractions or decimals. Also, solve worksheets that contain the variables in algebraic expressions. A variety of authentic word problems that incorporate real-life scenarios are also featured here. Check out some of these handouts for free!

Solve the Proportion: Level 1

Each set of proportions rendred in these 6th grade pdfs contains a variable. Cross-multiply the ratios to determine the value of the unknown. Answers derived will comprise only whole numbers.

Solve the Proportion: Level 2

Use the cross product method to solve each proportion in these printable worksheets for grade 7. The value of the missing variables will be in the form of either proper fractions or mixed fractions.

Solve the Proportion - Decimals

Students in grade 8 need to determine the product of extremes and the product of means to solve the equations that contain decimals and eventually evaluate the unknown. The answer key is available in the next page of each worksheet.

Level 1: Solve the Proportion - Algebraic Expression

Evaluate the proportions involving algebraic expressions with two terms. Use the proportionality rule and solve the equations to obtain the value of the missing variable.

Level 2: Solve the Proportion - Algebraic Expression

Use the cross product rule to obtain the equation that involves the rational expression on both sides. There are eight problems in each worksheet for 8th grade and high school students.

Proportion Word Problems

Observe the proportional relationships in real world with this series of word problems pdf worksheets; set up the proportionality with the given values and solve for the unknown.

Related Worksheets

» Constant of Proportionality

» Unit Rate

» Proportions

» Ratio

» Ratio Word Problems

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Ratios and Proportion Worksheets

Ratio and Proportion Worksheets

Ratio and proportion worksheets listed alphabetically:.

• Are these Proportional?
• Creating Proportions
• Equivalent Proportions
• Missing Proportion
• Proportions
• Proportions in a Right Triangles
• Ratio And Proportion Word Problems
• Ratio Tables
• Ratio Word Problems
• Ratio Word Problems (Moderate)
• Rewriting Ratios
• Similar Polygons: Ratio of Perimeters & Areas
• Solving Proportion Problems
• Trigonometric Ratios
• Word Based Proportions Easy
• Word Based Proportions Difficult

Ratio and Proportion Worksheets Listed By Skill Development:

What is the difference between ratios and proportions.

Many students fail to differentiate between the mathematical terms, "ratios," and "proportions." These both have extensive applications in not only mathematics but also in day to day tasks. Ratios are when we are comparing two values with the same units. When two different ratios are set equal to each other, we call it proportions. Ratios are a simple mathematical expression, while proportions are an equation. The keyword that helps in identifying a ratio statement is "to every", and it is denoted by a colon. It is a quantitative relationship between two categories. Proportions, on the other hand, are denoted by double colons and are a quantitative relationship of a category and the total.

Ratio and Proportion Worksheets

A ratio is a way to compare two quantities i.e., two different values. A ratio indicates how many times one number contains another. Proportion is a statement that says two ratios are equal. Ratio and proportion worksheets encourage students to practice word problems based on it like express ratios in simpler form, compare ratios etc.

The numbers in a ratio may be quantities of any kind, such as counts of people or objects, measurements of lengths, weights, time, etc.

Benefits of ratio and proportion Worksheets

A ratio may be considered as an ordered pair of numbers, a fraction with the first number in the numerator and the second in the denominator. A proportion is an equality of two ratios.

By solving the Ratio and proportion worksheets, students tend to develop practical knowledge as this concept plays a vital role in day-to-day life. Real life examples include prices per kg while grocery shopping, calculation of ingredients in recipes, calculating duration of a long car trip etc.

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Use the generator to make customized ratio worksheets. Experiment with the options to see what their effect is.

Primary Grade Challenge Math by Edward Zaccaro

A good book on problem solving with very varied word problems and strategies on how to solve problems. Includes chapters on: Sequences, Problem-solving, Money, Percents, Algebraic Thinking, Negative Numbers, Logic, Ratios, Probability, Measurements, Fractions, Division. Each chapter’s questions are broken down into four levels: easy, somewhat challenging, challenging, and very challenging.

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Solving Proportions

• Equations and Word Problems (Two Step Equations)
• Equations and Word Problems (Combining Like Terms) Worksheets
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• Simplifying Expressions Worksheets
• Absolute Value Worksheets

These free  proportions worksheets  will help you set up and solve proportions that represent everyday, real-life situations involving integers and fractions.

These solving  proportions worksheets will help students meet Common Core Standards for Expressions & Equations as well as  Ratios & Proportional Relationships .  I would recommend these exercise for 6th grade, 7th grade, and 8th grade math students.

Integer Worksheets

Solving Proportions Worksheet 1 (Integers) –  This 9 problem worksheet features proportions that represent real-life situations where you will have to calculate the unit rate.  The proportions have already been set up for you. Solving Proportions Worksheet 1 RTF Solving Proportions Worksheet 1 PDF Solving Proportions Worksheet 1 in Your Browser View Answers

Solving Proportions Worksheet 2 (Integers) –  This 9 problem worksheet features proportions that represent real-life situations where you will have to calculate the unit rate.  The proportions have already been set up for you. Solving Proportions Worksheet 2 RTF Solving Proportions Worksheet 2 PDF Solving Proportions Worksheet 2 in Your Browser View Answers

 Solving Proportions Worksheet 3   (Integers) – This 10 problem worksheet features word problems with proportions that are partially complete.  You will have to complete and solve the proportions to find the unit rate. Solving Proportions Worksheet 3 RTF Solving Proportions Worksheet 3 PDF Solving Proportions Worksheet 3 in Your Browser View Answers

Solving Proportions Worksheet 4  ( Integers) – This 9 problem worksheet features word problems where you will have to set up and solve proportions to find a unit rate. Solving Proportions Worksheet 4 RTF Solving Proportions Worksheet 4 PDF Solving Proportions Worksheet 4 in Your Browser View Answers

Fraction Worksheets

Solving Proportions Worksheet 1 (Fractions) –  This 9 problem worksheet features proportions that represent real-life situations where you will have to calculate the unit rate.  The proportions have already been set up for you. Solving Proportions Worksheet 1 RTF Solving Proportions Worksheet 1 PDF Solving Proportions Worksheet 1 in Your Browser View Answers

Solving Proportions Worksheet 2 (Fractions) –  This 9 problem worksheet features proportions that represent real-life situations where you will have to calculate the unit rate.  The proportions have already been set up for you. Solving Proportions Worksheet 2 RTF Solving  Proportions Worksheet 2 PDF Solving Proportions Worksheet 2 in Your Browser View Answers

 Solving Proportions Worksheet 3   (Fractions) – This 10 problem worksheet features word problems with proportions that are partially complete.  You will have to complete and solve the proportions to find the unit rate. Solving Proportions Worksheet 3 RTF Solving Proportions Worksheet 3 PDF Solving Proportions Worksheet 3 in Your Browser View Answers

Solving Proportions Worksheet 4  ( Fractions) – This 9 problem worksheet features word problems where you will have to set up and solve proportions to find a unit rate. Solving Proportions Worksheet 4 RTF Solving Proportions Worksheet 4 PDF Solving Proportions Worksheet 4 in Your Browser View Answers

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Solving proportions

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Math worksheets: Solving proportions

These grade 6 math worksheets focus on solving proportions. In these exercises, the proportions are shown in the form of equivalent fractions.

Larger numbers:

3 proportions:

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Course: 7th grade   >   Unit 1

• Worked example: Solving proportions
• Solving proportions
• Writing proportions example
• Writing proportions
• Proportion word problem: cookies
• Proportion word problem: hot dogs

Proportion word problems

• Your answer should be
• an integer, like 6 ‍  
• a simplified proper fraction, like 3 / 5 ‍  
• a simplified improper fraction, like 7 / 4 ‍  
• a mixed number, like 1   3 / 4 ‍  
• an exact decimal, like 0.75 ‍  
• a multiple of pi, like 12   pi ‍   or 2 / 3   pi ‍