Multi-Step Inequality Word Problems

A car rental company charges a flat fee of $30 plus $0.25 per mile driven. Write an inequality to represent the number of miles you can drive with $50.

• x <= 20

• x <= 80

• x >= 100

• x >= 80

A phone plan costs $40 per month plus $0.10 per minute. Write an inequality to represent the number of minutes you can use with $60.

• (60 - 40) / 0.10 >= x

• (60 - 40) / 0.10 < x

• (60 - 40) / 0.10 = x

• (60 - 40) / 0.10 <= x

A toy store sells action figures for $15 each. Write an inequality to represent the number of action figures you can buy with $75.

• x = 5

• x ≥ 5

• x > 5

• x ≤ 5

Ms. Powers is fundraising for her classroom. Her mom has already donated $20 on donorschoose.org and she hopes to get another $10 each day. If she wants to raise over $200, how many days should she keep her request posted?

• 20x+10x=200

• 20+10x=200

• 20+10x<200

• 20+10x>200

For what values of x is the perimeter of the figure greater than 112 ​meters?

-4x + 14 ≤ 54

• x ≥ - 10

• x ≤ -10

• x ≥ 10

• x ≤ 10

• x > 2
• x > 5
• x >15
• x > 50

Review the work shown solving the inequality. Should the inequality symbol been reversed?

• Yes, because 2 is positive.

• ​No, because 2 is positive.

• ​Yes, because −4 is negative.

• No, because −4 is negative.

• x > 39
• x < 6
• x < 13/3
• x > 5/9

Solve. 3(k-5) + 9k ≥ -3

• k ≥ 0

• k ≤ -1

• k≥ 1

• k≥ 2