Equations and Inequalities Review

Solve the equation for r:

−2(1 + 5r) = 22 − 2r

• r = 3

• r = 8

• r = -3

• r = -8

Solve for x in the system of equations below.

3x-2y= 2

5x-5y= 10

• x = -2

• x = 2

• x = -4

• x = 4

Solve the system of equations.

y = 5x − 8

y = x + 4

• (7, 3)

• (-7, -3)

• (-3, -7)

• (3, 7)

Solve the following compound inequality.

 $-4x+6<38\ and\ 4x+7\le19$  

•  $x>-8\ or\ x\le3$  

•  $-8<x\le3$  

•  $3<x\le-8$  

•  $x<-8\ and\ x\le3$  

Solve the following compound inequality.

 $7x+9\le-12\ or\ 4x-12>24$  

•  $x\le-3\ or\ x>9$  

•  $-3\le x<9$  

•  $x\ge-3\ and\ x<9$  

•  $x<-3\ or\ x\ge9$  

Which ordered pair is a solution to the system of inequalities below.

 $y<2x-1\ and\ x<4$  

• (4, 7)

• (0, 0)

• (2, 0)

• (0, 2)

Peter Parker is selling a car on Craigslist. There is a 5% sales tax plus $2.50 shipping fee for every mile the car has to be shipped. The equation P=7500(1.05)+2.50m is used to calculate the payment owed by his customers.

What does the m represent in the equation?

• The sales tax cost

• The miles the car has to be shipped

• The cost of the car itself

• The shipping fee

Peter Parker is selling a car on Craigslist. There is a 5% sales tax plus $2.50 shipping fee for every mile the car has to be shipped. The equation P=7500(1.05)+2.50m is used to calculate the payment owed by his customers.

What does the P represent in the equation?

• The sales tax cost

• The payment owed by his customer

• The cost of the car itself

• The shipping fee

You are selling tickets at a high school football game. Student tickets cost $3 and general admission tickets cost $4. You sell 1075 tickets and collect $3875.

Which system of equations represents this situation?

• 3x+4y=3875

  x+y=1075

• 3x+4y=1075

  x+y=3875

• 3x+y=3875

  4x+y=1075

• 4x+y=3875

  3x+y=1075

You are selling tickets at a high school football game. Student tickets cost $3 and general admission tickets cost $4. You sell 1075 tickets and collect $3875.

How many student tickets were sold?

• 425

• 650

• 175

• 845