Systems of Equations: Review with Word Problems

7x+4y =12 
x + 2y = -4

• (-4,4)
• (4,4)
• (4,-4)
• (-4,-4)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

x + 2y = -4
x - 2y = 8

• (2,5)
• (2,-3)
• (2,-2)
• (-3,2)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

What is the solution to the system?

• (0, 3)
• (1, -1)
• (-3, 1)
• (1, 3)

Tags

CCSS.8.EE.C.8A

^{What is the solution?} 

• 1
• -2
• (1, 2)
• (1, -1)

Tags

CCSS.8.EE.C.8A

Solve for x and y.
y = 2/3x - 2
y = -x + 3

• (0,3)
• (0,-3)
• (3,0)
• (-3,0)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Solve the following system by setting the two equations equal to each other.  What is the solution?
HINT:  - 1/3x + 4 = 2/3x + 1 and then solve for x.  Once you find x go back and find y.

• Infinite number of solutions
• (3, 3)
• (3, -3)
• (-3, 3)

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:
y = -1x - 5
4x - 8y = 4

• (-3, -2)
• (5, -7)
• (3, 9)
• (-5, 4)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Alexandra finds that she can give 3 haircuts and 2 hair dyes in 315 minutes. Giving 2 haircuts and 4 hair dyes takes 450 minutes. Which system of equations represents the situation? Use x as the number of haircuts; use y as the number of hair dyes.

• 3x + 2y = 315

  2x + 4y = 450

• 3x + 2y = 450

  2x + 4y = 315

• 2x + 2y = 315

  3x + 4y = 450

Tags

CCSS.8.EE.C.8C

Two brothers went shopping at a back-to-school sale where all shirts and shorts were the same price. The younger brother spent $175 on 7 new shirts and 7 pairs of shorts. The older brother purchased 6 new shirts and 7 pairs of shorts and paid a total of $165. Which equation shows how much the YOUNGER brother spent using x as the shirt price and y as the shorts price.

• 13x + 14y = 175

• 7x + 7y = 175

• 6x + 7y = 165

• 7x + 7y = 165

Tags

CCSS.HSA.CED.A.3