System of Equations Word Problems

Solve real-world problems using systems of linear equations.

Grade 8 Math AlgebraSystem of Equations Word Problems

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Includes

3 Short AnswerFill in the BlanksTrue / False

Standards

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

Topics

algebrasystem of equationsword problemsgrade 8

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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 with two variables, then solve the system to find the answer. Show all your work.

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

2. A convenience store sold 200 sodas and waters in one day. Sodas cost $1.50 each and waters cost $1.00 each. If the store made a total of $260, how many sodas and how many waters were sold?

3. Sarah has a collection of dimes and quarters. She has a total of 15 coins. The total value of her coins is $2.55. How many dimes and how many quarters does she have? Let d be the number of dimes and q be the number of quarters. Equation 1: d + q = Equation 2: 0.10d + 0.25q = Number of dimes: Number of quarters:

4. A theater sold 250 tickets for a play. Student tickets cost $8 and adult tickets cost $12. If the total revenue was $2400, is it true that exactly 150 student tickets were sold?

True

False

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