Proportion Word Problems With Multiple Steps
Written by Adi Ackerman, Head Teacher
"Proportion Word Problems With Multiple Steps" is written for 7th Grade (Ages 12-13), and it covers Common Core 7.RP.A.3. A 6th grader who is already steady on ratios can use it too, and an older student can use it as a short review.
7th grade math worksheet: write and solve a proportion, then do one more step, in problems about a map trip, a fence and paint. Answer key included. Part of our proportions ratios collection. Aligned to Common Core standards.
How do I use this worksheet?
Begin with the drills, then move to matching and word problems. Use the puzzles as a fun check and the error finding sheet for review.
What students will practice
- Students will write and solve a proportion for a real situation.
- Students will use the result in a second step, such as finding a cost or a distance left.
- Students will show their work for each problem.
Unit Rates From Complex Fractions
Unit Rates With Fractions Word Problems
Match Fraction Rates to Unit Rates, Paces
Match Fraction Rates to Unit Rates, Recipes
Match Complex Fractions to Their Unit Rates
Find Speed, Time or Distance With Fractions
Compare Unit Prices With Fractional Amounts
Equivalent Ratios With Fractions and Decimals
Curriculum Links
Common Core State Standards
Ratios and Proportional Relationships · 7th Grade
Standard: Use proportional relationships to solve multistep ratio and percent problems.
View all 7.RP.A.3 worksheets →Find this in the curriculum
Browse the grade, subject, and topic this belongs to.
FAQ
How do I use this proportions worksheet?
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Begin with the drills, then move to matching and word problems. Use the puzzles as a fun check and the error finding sheet for review.
What does this worksheet teach?
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Write and solve a proportion, then do one more step, in problems about a map trip, a fence and paint. The directions on the page read: Write and solve a proportion. Then do the next step. Show your work. An answer key is included.
Can I use this proportions worksheet for homeschool or classroom?
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Yes, both. We made it for 7th grade ratios, and it works the same at home or at school. At home, a student can work through it alone and then go over it with you, which shows quickly what is solid and what needs another look. In class it works as independent practice, homework or a warm-up, and you can print one copy or a full set.
How do you solve a proportion?
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Cross multiply, then divide to find x. Solve Proportions With Variable in Any Position has students show their work and write x on a line.
What if a proportion has fractions or decimals?
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The method is the same, and the answers are whole numbers or decimals. Solve Proportions With Fractions and Decimals practices this, and the setup sheet with fractional units practices choosing the right proportion.
How do students set up a proportion from a word problem?
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They match the quantities so the same units line up on the same side. The two matching sheets ask students to pick the proportion that fits, and one has two proportions that are not used.
Are there puzzles?
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Yes. Solve Proportions to Decode a Math Term and Solve Proportions to Shade a Hidden Shape use the answers to finish a puzzle.
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Unit Rates From Complex Fractions
Unit Rates With Fractions Word Problems
Match Fraction Rates to Unit Rates, Paces
Match Fraction Rates to Unit Rates, Recipes
Match Complex Fractions to Their Unit Rates
Find Speed, Time or Distance With Fractions
Compare Unit Prices With Fractional Amounts
Equivalent Ratios With Fractions and Decimals