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Solving Systems by Equal Values Method

This worksheet focuses on solving systems of linear equations using the equal values method, suitable for 8th-grade math students.

Grade 8 Math AlgebraEqual Values Method
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Includes

3 Short AnswerFill in the BlanksMultiple Choice

Standards

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

Topics

algebrasystems of equationsequal values methodgrade 8
7 sections · Free to use · Printable
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Solving Systems by Equal Values Method

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Read each question carefully and solve the systems of equations using the equal values method. Show all your work.

1. Solve the following system of equations using the equal values method:

y = 2x + 1

y = 3x - 2

2. Solve the following system of equations:

x = 4y - 5

x = -y + 10

3. When using the equal values method, you set the   expressions equal to each other.

4. The goal of the equal values method is to find the point of   of the two lines.

5. Which of the following systems is best suited for the equal values method?

a

x + y = 5 x - y = 1

b

y = 2x + 3 y = -x + 6

c

2x + y = 7 3x + 2y = 12

d

All of the above

6. A store sells two types of coffee. Type A costs $8 per pound, and Type B costs $12 per pound. If a customer buys a total of 10 pounds of coffee for $96, how many pounds of each type did they buy? Set up a system of equations and solve using the equal values method.