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Substitution Method Practice

Practice solving systems of linear equations using the substitution method for Grade 11 math.

Grade 11 Math AlgebraSystems of EquationsSubstitution Method
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3 Short AnswerFill in the BlanksMultiple Choice

Standards

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

Topics

algebrasystems of equationssubstitution methodgrade 11
7 sections · Free to use · Printable
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Substitution Method Practice

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

1. Solve the following system of equations:

Equation 1: y = 2x + 1

Equation 2: 3x + y = 11

2. Find the solution to the system:

Equation 1: x - 4y = -2

Equation 2: 3x + 2y = 10

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

4. After substituting, you will have an equation with only one  , which you can then solve.

5. The final answer to a system of two linear equations is an   pair (x, y).

6. Which of the following systems would be easiest to solve using the substitution method?

a

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

b

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

c

x + y = 10 x - y = 2

d

2x + 5y = 12 3x - 4y = 1

7. A rectangular garden has a perimeter of 50 meters. The length of the garden is 5 meters more than twice its width. Find the length and width of the garden.