Inequalities and Equations Review

-9j  -  19  =  -37

• j  =  2

• j  =  -2

• j  =  -3

• j  =  3

What is a possible solution set to
  x  +  7  ≤  -9 ?

• -2,  0,  2

• -5,  -4,  -3

• -18,  -17,  -16

• -16,  -15,  -14

What is a possible solution set to the following problem?
-8m  >  40

• -5,  -4,  -3 

• -4,  -3,  -2

• -5,  -6,  -7

• -6,  -7,  -8

What is the solution set to the following?
-4f  ≤  -20

• -5,  -6,  -7

• 5,  6,  7

• -16,  -17,  -18

• 16,  17,  18

Solve for t. (Use the image to identify the correct inequality and graph.)

• A

• B

• C

• D

Which of the following represents the solution to the inequality shown below? -6x - 8 > -32

• x < 4

• x > 4

The greatest weight a truck can carry is 1,600 pounds. The truck is loaded with a piano that weight 400 pounds and other boxes that weight 50 pounds each. Which inequality represents all possible values of x , the number of boxes that can be loaded into the truck?

• 50x + 400 ≤ 1,600

• 50x + 400 ≥ 1,600

• 400x + 50 ≤ 1,600

• 400x + 50 ≥ 1,600

Which situation can be represented by this inequality?

• Stefen spends $6.50 on supplies for a lemonade stand and sells each cup of lemonade for $1.25. What is x, the number of cups of lemonade he must sell to earn a profit of more than $50?

• Stefen has a balance of $6.50 in his savings account and deposits $1.25 each week. What is x, the number of weeks he must deposit $1.25 in order to have a balance of more than $50 in his savings account?

• Stefen earns 1.25% interest on the balance on his account and has to pay a monthly charge of $6.50. What is x, the balance that Stefen must have in his account in order to have an ending balance greater than $50 after interest and fees?

• Stefen charges $1.25 for gasoline plus $6.50 per hour for mowing lawns. What is x, the number of hours he has to mow lawns in order to earn more than $50?

2x + 5 = -17

• x = -6

• x = -12

• x = 11

• x = -11

5x - 7 = 8

• x = 1/5

• x = 3

• x = -3

• x = 15