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System of Equations Word Problems

Practice solving real-world problems using systems of linear equations.

Grade 7 Math AlgebraSystem of Equations Word Problems
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Includes

5 Short Answer

Standards

CCSS.MATH.CONTENT.8.EE.B.5CCSS.MATH.CONTENT.8.EE.C.8.B

Topics

mathalgebrasystem of equationsword problemsgrade 7
7 sections · Free to use · Printable
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System of Equations Word Problems

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Read each word problem carefully. Set up a system of two linear equations and solve for the unknown variables. Show all your work.

1. The sum of two numbers is 30. Their difference is 12. What are the two numbers?

2. A farmer raises chickens and pigs. He has 13 animals in total. If there are 40 legs altogether, how many chickens and how many pigs does he have?

3. Sarah has 20 coins in her purse, consisting of dimes and quarters. If the total value of the coins is $3.05, how many dimes and how many quarters does she have?

4. The perimeter of a rectangle is 48 meters. The length is 6 meters more than the width. Find the length and width of the rectangle.

LengthWidth

5. A test has 20 questions worth a total of 100 points. Multiple-choice questions are worth 4 points each, and true/false questions are worth 3 points each. How many of each type of question are on the test?