Math Inequality Word Problems

Monica earns $363 a week. Rachel works for $8.25 an hour.Which inequality represents how many hours must Rachel work to make as much as or more than Monica?

• 363≥8.25h

• 363<8.25h

• 363≤8.25h

• 363>8.25h

The admission fee to an arcade is $1.25 per person and it costs $.50 for each game played. Joey has $10 from his allowance to spend. Which inequality represents Joey getting the most out his $10 allowance.

• 1.25+.50g ≤ 10

• 1.25-.50g ≤ 10

• 1.25+.50g ≥ 10

• 1.25- .50g ≥ 10

Yellow Cab Taxi charges a $1.75 flat rate in addition to $0.65 per mile.  Katie has no more than $10 to spend on the taxi ride.

• 1.75 + 0.65m < 10

• 1.75 + 0.65m > 10

• 1.75m + 0.65 < 10

• 1.75m + 0.65 > 10

Match the inequality to the word problem.Katie wants to have at least $200 in her bank account by the end of the month. She currently has $25 in her bank account. Katie makes $12 for each dog that she walks. How many dogs would Katie have to walk to reach her goal of $200?

• 25 - 12x ≥ 200

• 25 + 12x ≥ 200

• 13x ≥ 200

• 25 + 12x > 200

Solve

• A/F

• B/H

• C/G

• D/J

Solve

• A/F

• B/H

• C/G

• D/J

A taxi cab costs $1.75 and $0.75 for each additional mile. You have $20 to spend on you ride. Which inequality could be solved to find how many miles you can travel, if m is the number of additional miles?

• 1.75n + 0.75 ≥ 20

• 1.75n + 0.75 ≤ 20

• 0.75n + 1.75 ≥ 20

• 0.75n + 1.75 ≤ 20

The 30 members of a choir are trying to raise at least $1,500 to cover travel costs to a singing camp. They have already raised $600. Which inequality could you solve to find the average amounts each member can raise that will at least meet the goal?

• 30x + 600 > 1,500

• 30x + 600 ≥ 1,500

• 30x + 600 < 1,500

• 30x + 600 < 1,500

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

To qualify for an award, a student volunteers no less than 5 hours each week at the local hospital. Write an inequality that represents how many hours the student volunteers each week.

• X < 5

• X > 5

• X ≥ 5

• X ≤ 5