Inequalities and Equations

An equation is modeled.

What value of x makes the equation true?

• 1

• 7

• -5

• -1

Walter and Brian each have a CD collection. -The number of CDs in Walter's collection can be represented by x. -The number of CDs in Brian's collection is 3 times the number in Walter's collection. -The total number of CDs in both collections is 144. What is x, the number of CDs in Walter's collection?

• 108

• 48

• 72

• 36

What is the value of x in this equation? 2x + 2 = -52

• -25

• -27

• -56

• -50

Which equation is true when k = -15?

• 3k - 11 = -34

• -53 + 4k = 7

• k/3 + 17 = 12

• k/5 + 2.5 = 0.5

If x = 14, which equation is true?

• 3(20 - x) = 44

• 3(12 - x) = 6

• 2(x - 3) = 22

• 2x - 3 = 22

If x = -6, which inequality is true?

• -5 - 3x > 10

• -3 - 5x < -14

• 1 - 2x > 13

• 2 - x < -3

Solve the inequality.
x + 5 ≤ 13

• x ≥ 8

• x ≥ 18

• x ≤ 8 

• x ≤ 18 

Match the graph with its inequality.

• 11 < a

• 11 > a

•  11 ≤ a

•  11 ≥ a

Ms. Hernandez is taking her children and their friends to the movies.  She will pay $10 for her adult ticket and $7 for each child ticket.  Ms. Hernandez does not want to spend more than $40.  Which inequality can be used to find c, the number of child tickets Ms. Hernandez can purchase?

• 7 + 10x > 40

• 10x - 7 ≤ 40

• 10 + 7x > 40

• 10 + 7x ≤ 40

Sam make $10.25 per hour working at Cheddars.  He plans to buy a laptop for $550.  Write and solve an inequality describing how many hours h Sam will have to work to be able to buy the laptop. (Round to the next higher hour)

• 10.25h < 550; less than 54 hours

• 10.25h > 550; greater than 54 hours

• 10.25h ≤ 550; at most 54 hours

• 10.25h ≥ 550; at least 54 hours