System of Equations Word Problems

Practice solving system of equations word problems using various methods.

Grade 9 Math AlgebraSystem of Equations Word Problems

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Includes

5 Short Answer

Standards

CCSS.MATH.CONTENT.HSA.CED.A.3CCSS.MATH.CONTENT.HSA.REI.C.6

Topics

AlgebraSystem of EquationsWord ProblemsGrade 9

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 with two variables, then solve the system using substitution, elimination, or graphing. Show all your work.

1. The sum of two numbers is 25. Their difference is 7. Find the two numbers.

2. A movie theater sells adult tickets for $10 and child tickets for $6. If a total of 150 tickets were sold for a total of $1260, how many adult tickets and how many child tickets were sold?

3. Sarah has a collection of dimes and quarters. She has a total of 30 coins, and their total value is $5.70. How many dimes and how many quarters does Sarah have?

4. A rectangular garden has a perimeter of 80 feet. The length of the garden is 10 feet more than its width. Find the length and width of the garden.

5. A chemist needs to mix a 20% acid solution with a 50% acid solution to produce 60 liters of a 30% acid solution. How many liters of each solution should the chemist use?