Systems of Equations Study Guide

Sketch the graph on your paper and identify the solution:

y = ¾ x - 3

y = -½ x +2

• (4,0)

• (0, 4)

• (1, 7)

• (2, -3)

Tags

CCSS.8.EE.C.8B

• (-1, 1)

• (-1, 2)

• (-2, 1)

• (-2, 2)

Tags

CCSS.8.EE.C.8A

Which of the following shows the correct system graphed?

y =½ x + 1

y=-3x+3

• 
• 
• 
• 

Tags

CCSS.8.EE.C.8B

Solve the following by graphing:

Y = -2x - 1

Y = ⅓ x + 6

• (-1, 6)

• (-3, 5)

• (-2, -1)

• (3, 0)

Tags

CCSS.8.EE.C.8B

When solving the following system by graphing, what will the solution be?

y = 2x - 1

-6x - 3y = 3

• There is one solution to this system of equations and it is located at the point where the two lines intersect.

• There is no solution because the lines will never intersect

• There is no solution because the lines will intersect somewhere off the graph

• There are infinitely many solutions because the lines are the same line

Tags

CCSS.8.EE.C.8B

When using substitution to solve this system of equations, what is the result of the first step?

y = -2x +8

3x - 2y = 19

• (3x - 2y) = -2x + 8

• 3x - 2(-2x + 8) = 19

• 3(-2x + 8) -2y = 19

• 3x -2(-2x) = 19

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Use the substitution method to find the y-value for the system of equations.

3x - 4y = -24

y = -2x + 6

• 6

• 0

• -6

• 11

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Solve the system of equations by using the substitution method.

x = 2y + 9

8x + 2y = 0

• (-4, 16)

• (17, 4)

• (1, -4)

• (4, -5/2)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Solve the system of equations by using the substitution method.

y = -2

4x - 3y = 18

• (3, -2)

• (6, -2)

• (-2, 3)

• (5, -2)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

When using substitution to solve this system of equations, what is the result of the first step?

x = 6y + 3

x + 2y = 5

• x + 2(6x+3) = 5

• x + 2(6y+3) = 5

• (6y+3) + 2y = 5

• (6x+3) + 2y = 5

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6