Solving Inequalities Mixed Practice

When John bought his new computer, he purchased an online computer help service. The help service costs an initial $25.50 and a $10.50 charge is applied for each session a person uses. If John can only spend $170 for the computer help service, how many sessions can John use?

• x ≤ 13.76

• x ≤ 18.62

• x ≤ 6.25

• x ≤ 4.7

What is the solution to 2(b - 8) > 12?

• b > 20

• b > 6

• b > 14

• b < 20

Tags

CCSS.7.EE.B.4B

A family swimming pool membership costs $45 per month plus a one time fee of $35. If a family can spend at most $395 on the pool membership, how many months can they be members?

• x ≤ 8

• x ≤ 10

• x ≥ 8

• x ≥ 10

Solve and graph the inequality −5x − 12 > −6x − 4

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Which graph shows the solution set to the inequality

−2(5y + 12) < −12y − 18

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Ms. Salgado needs to have her car repaired but does not want to spend more than $225 for the repairs. The mechanic says that the part needed for the repair will cost $78 and that labor will cost an additional $35 per hour. Which inequality below represents the greatest number of hours the mechanic can work without exceeding Ms. Salgado's budget?

• 78− 35x < 225

• 35 + 78x ≥ 225

• 35 + 78x ≤ 225

• 35x + 78 ≤ 225

Which of the following best represents the solution set for

−8(4x + 6) < −24

• x < −3/4

• x > −3/4

• x < 3/4

• x > 3/4

Skate Land charges a $50 flat fee for a birthday party rental and $5 for each person. Joann has no more than $100 to spend on the birthday party. Which of the following inequalities best represents the number of people that Joann can invite?

• 50 + 5p ≤ 100

• 50p + 5 ≤ 100

• 50 + 5p ≥ 100

• 50p + 5 ≥ 100

3(x − 2) < 2(x + 9)

• x < 24

• x > −24

• x < 12

• x > 18

Which is a solution of

5(v + 3) − 10v > −10

• v < 5

• v > 5

• v > −5

• v < −5

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3