Solving Systems of Equations Review

Solve the system:

8x + 4y = 12

y = –2x + 3

• (0,3)

• (3,0)

• No solution

• Infinitely many solutions

Tags

CCSS.8.EE.C.8B

Solve the system given:

3x – y = 7

2x + y = 3

• (–1, 2)

• (5, 4)

• (4, 5)

• (2, –1)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Solve the system:

y = 3x + 14

y = –4x

• (–14, 56)

• (2, –8)

• (–2, 8)

• (4, –16)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Given the equation y = 7x + 11, write another equation that will result in “No Solution” when both equations are graphed.

• y = –7x

• y = 7

• y = 7x + 2

Tags

CCSS.8.EE.C.8B

What variable is eliminated by adding these two equations?

4x – 8y = 20

−4x + 2y = −30

• x because the coefficients are opposites

• y because the coefficients are opposites

• x because the coefficients are the same

• y because the coefficients are the same

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

What is the proper set up to solve the equation?

–7x – 2y = –13

x = 2y + 11

• –7(11) – 2y = –13

• –7(2y +11) – 2y = –13

• –7x – 2(11) = –13

• –7x – 2(2y+11) = –13

Solve for x and y

3x + 2y = 16

7x + y = 19

• (–2, 5)

• (–2, –5)

• (2, –5)

• (2, 5)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Solve the system of equations.

y = 4x + 1

3x + 2y = 13

• (1, 5)

• (5, 1)

• (0.25, 2)

• ∅

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Solve the system:

x + 3y = 9

2x + y = −2

• (3,2)

• (–2, 2)

• (3, –4)

• (–3, 4)

• (0.5, –3)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Solve the system:

4x + 9y = 28

–4x – y = –28

• (–7,0)

• Infinite Solutions

• No Solution

• (7,0)

Tags

CCSS.8.EE.C.8B