Simultaneous Equations by Graphing

Practice solving systems of linear equations by graphing, identifying solutions as points of intersection.

Grade 8 Math AlgebraSimultaneous Equations by Graphing

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3 Short AnswerMultiple ChoiceFill in the Blanks

Standards

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

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mathalgebrasimultaneous equationsgraphinggrade 8

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Simultaneous Equations by Graphing

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Read each question carefully and follow the instructions. Graph each system of linear equations on the coordinate plane provided. Identify the solution to each system by writing the coordinates of the intersection point.

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

Equation 1: y = 2x - 3

Equation 2: y = -x + 6

Solution: ( , )

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

Equation 1: y = (1/2)x + 1

Equation 2: y = -2x - 4

Solution: ( , )

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

Equation 1: x + y = 5

Equation 2: x - y = 1

Solution: ( , )

4. Which of the following systems of equations has a solution at (2, 1)?

y = x + 1 y = 2x - 3

y = -x + 3 y = x - 1

y = 2x - 3 y = x - 1

y = x - 1 y = -2x + 5

5. The solution to a system of linear equations is the point where the graphs of the equations .

6. If two lines are parallel, they have solution.

7. If two lines are identical, they have solutions.