Module 3 Test Review

Solve Equations

100

• The equation 4x+8 = 5x+3 represents the cost in dollars, x, of a school lunch. Solve the equation.

x=5

200

• The equation 7/9 (d)-6= 8/9(d)-10 represents the number of dimes, d, in a stack. Solve the equation.
• rewrite on the board**

d=36

300

• Solve  -3.6x + 4.5= 2.4x + 22.5.

x= -3

400

Solve the equation -0.25a + 18.5 = 0.5a + 3.5

a= 20

Word Problems

100

• Two companies offer Janeen a sales position. Company A pays $4,000 per month plus $400 per car sold. Company B pays $3,750 per month plus $450 per car sold. Which equation could be used to determine the number of cars sold in a month, x, that would result in the same total income from each company?

4,000 + 400x = 3,750 + 450x

200

• Keith wants to have a laptop case shipped to his office. Company A charges a $12 shipping fee and $1.50 per pound. Company B charges a $15 shipping fee and $1 per pound. For how many pounds is the cost of both shipping companies the same?
  • Write an equation that represents the problem, where p is the number of pounds of the package?

12 + 1.5p = 15 + p

300

Eric and Willow collect baseball cards. Eric has 350 baseball cards and collects 10 cards per week. Willow has 250 baseball cards and collects 15 cards per week. After how many weeks will Eric and Willow have the same number of baseball cards? Write an equation to represent the situation.

350 + 10x = 250 + 15x

400

• The temperature of one furnace is 1,500ºC and cools at a rate of 20ºC per minute. The temperature of another furnace is 1,200ºC and is heated at a rate of 10ºC per minute. After how many minutes will the furnaces be the same temperature?

10 minutes

Mixed

100

determine how many solutions:3(2x + 5)= 4(x+6) + 3

one solution

200

Complete the equation with the values that will result in infinitely many solutions

7x + 2(x+5)= ______x + ______

9x + 10

300

In the equation below, what values will result in no solution.... be specific.

6x-2(4x+9)= ______x - _____

-2x - anything except 18.

400

Keith wants to have a laptop case shipped to his office. Company A charges a $12 shipping fee and $1.50 per pound. Company B charges a $15 shipping fee and $1 per pound. For how many pounds is the cost of both shipping companies the same? 

p=6

Multi-Step Equations

100

3(6x-1) +4x = 4(3x-1) -5

x= -3/5

200

0.2(4x+10) - 0.9x = 0.2(x-6) + 12.2

x= -30

300

-2(3x+8) + 2 = 2(3x-8) -14x

x= -1

400

-0.2(q-4) + 4.5 = 0.5(q+1) - 0.1

q=7

Mixed

100

determine how many solutions:

8(x-4)= 2(11+4x)

no solution

200

determine how many solutions:

2(6x+10) = 4(3x+5)

infinitely many solutions

300

• The width of rectangular rug is 5 1/4 inches longer than twice its length. If the perimeter of the rug is 58 1/2 inches, write an equation to represent this situation.

58 1/2 = 2L + 2(2L + 5 1/4)

400

• A group of 5 students went bowling. Each student rented bowling shoes for $x and spent $14.50 on snacks. A group of 5 adults went bowling and paid twice as much to rent bowling shoes as each student. Each adult also spent $10.50 on snacks. If both groups spent the same total amount, what was the cost for each adult to rent bowling shoes?

$8