Systems of Equations Worksheet

Practice solving systems of linear equations using various methods for 7th grade math.

Grade 7 Math AlgebraSystems of Equations

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Includes

2 Short AnswerFill in the BlanksMultiple ChoiceTrue / False

Standards

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

Topics

mathalgebrasystems of equationsgrade 7

7 sections · Free to use · Printable

Systems of Equations Practice

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Date:

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Read each question carefully and follow the instructions to solve the systems of equations. Show all your work.

1. Graph the following system of equations and find the solution:

y = 2x - 3

y = -x + 3

Solution: ( , )

2. Solve the following system of equations using the substitution method:

x + 2y = 7

x = y + 1

Substitute the second equation into the first:

Solve for y: y =

Substitute y back into either equation to find x: x =

Solution: ( , )

3. Which of the following steps would be the best first step to solve the system below using the elimination method?

3x + y = 10

x - y = 2

Multiply the second equation by 3.

Add the two equations together.

Subtract the second equation from the first.

Substitute y = 10 - 3x into the second equation.

4. The sum of two numbers is 15. Their difference is 3. Set up a system of equations and solve to find the two numbers.

Let x be the first number and y be the second number.

Equation 1:

Equation 2:

The two numbers are and .

5. A system of equations can have exactly two solutions.

True

False