Substitution Method Worksheet

Practice solving systems of linear equations using the substitution method for Grade 10 math students.

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Grade 10 Math AlgebraSystems of EquationsSubstitution Method

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Includes

3 Short AnswerFill in the BlanksMultiple ChoiceTrue / False

Standards

CCSS.MATH.CONTENT.HSA.REI.C.6

Topics

algebrasystems of equationssubstitution methodgrade 10

8 sections · Free to use · Printable

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Substitution Method Practice

Name:

Date:

Score:

Solve each system of equations using the substitution method. Show all your work. Check your solutions.

1. Solve the following system of equations:

y = x + 3

2x + y = 9

2. Solve the following system of equations:

x = 2y - 1

3x - 2y = 5

3. When using the substitution method, the first step is often to isolate one in one of the equations.

4. After substituting, you will have a single equation with only one to solve.

5. Which of the following systems is easiest to solve using substitution?

2x + 3y = 7 4x - y = 1

x = 5y + 2 3x + 2y = 10

5x - 2y = 8 -5x + 7y = 3

x + y = 6 x - y = 2

6. The substitution method always works, even if no variable is initially isolated.

True

False

7. Solve the system: 2x + y = 10 and 3x - 2y = 1

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