Solving Equations and Inequalities Spring Review

Solve for x and y
3x + 2y = 16
7x + y = 19

• (-2,5)

• (-2,-5)

• (2,-5)

• (2,5)

Solve the following system
x + 9y = 8
-6x - 9y = -3

• (1,-1)

• (1,1)

• (-1,1)

• (-1,-1)

2x - 3y = 6
7x - 3y = -9

• (-3,-4)

• (3,4)

• (-4,-3)

• (4,3)

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?

• 3x + 2y = 315
  2x + 4y = 450

• 3x + 2y = 450
  2x + 4y = 315

• 2x + 2y = 315
  3x + 4y = 450

Some students want to order shirts with their school logo. One company charges $9.65 per shirt plus a setup fee of $43. Another company charges $8.40 per shirt plus a $58 fee. Which equation represents the number of shirts when both companies charge the same amount?

• y = 9.65 + x
  y = 8.40 + x

• y = 9.65x + 43
  y = 8.40x + 58

• y =9.65x
  y = 8.40x

• y = 9.65x - 43
  y = 8.40x - 58

Solve the system of inequalities by graphing.

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Solve the system of inequalities by graphing.

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Match

• y < x−2 
  y < 3

• y > -x+2
  y > 3

• y < -x+2
  y < 3

• y < -x+2
  y > 3

Which system of inequality is shown?

• y > x - 2
  y ≤ 2x + 2

• y > x + 2
  y ≤ 2x + 2

• y ≥ x - 2
  y ≤ 2x + 2

• none of these are the system

The equations of two lines are:
 2x-y=4 and y=-2x+8.
What is the value of x in the solution for this system?

• x=8

• x=3

• x=11

• x=5