Writing Inequalities from Word Problems

Front

A student must be at least 15 years old to obtain a driver’s permit. Let a represent the student's age.

Back

a ≥ 15

Front

To order from the kid's menu a person must be no more than 12 years old. Let k represent the kid's age.

Back

k ≤ 12

Front

Joan needs $100 to buy a graphing calculator. She earns $5 per hour babysitting and received $10 for mowing the lawn. What inequality represents the minimum hours she needs to babysit?

Back

5x + 10 ≥ 100

Front

DJ charges $125 per hour + $55 for assistant. Total cost < $600. Find max hours DJ can play.

Back

125x + 55 < 600

Front

Cody’s Gym charges a $15 fee to join and $30 per month. Tyler’s Gym charges a $30 fee to join and $20 per month. Write an inequality that could be used to determine after how many months Tyler’s gym would be a better deal.

Back

30 + 20x < 15 + 30x

Front

50x < 330 + 30x

Back

Correct answer

Front

2.5v + 5 < 5v

Back

Correct inequality

Front

Back

Front

Equations to determine equal value for Frederick County Fair ($15 + $2.50/ride) and Montgomery County Fair ($10 + $3.00/ride).

Back

15 + 2.5x = 10 + 3x

Front

Equation to determine how many games need to be purchased for the cost of Xbox One and Playstation 4 to be equal.

Back

150 + 24x = 180 + 20x