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 qualify for an award, a student volunteers no less than 5 hours each week at the local hospital. Let h represent the number of hours a student volunteers.

Back

h ≥ 5

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

A new tree you just planted will grow to be at most 35 feet tall. If it is currently 6 feet tall, which inequality could be used to find all possible values of how many more feet, f, will it grow? Options: 6 + x ≥ 35, 6 + x > 35, 6 + x < 35, 6 + x ≤ 35

Back

6 + x ≤ 35

Front

Top Golf charges $12 for each hour. You can spend no more than $60. Which inequality helps solve for all possible hours, h, you can golf for? Options: 12x < 60, 12x ≤ 60, 12x > 60, 12x ≥ 60

Back

12x ≤ 60

Front

Joan needs $100 to buy a graphing calculator. She earns $5 per hour babysitting and received $10 from her Father. 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. Inequality for max hours?

Back

125x + 55 < 600

Front

Daniel can spend no more than $40 at the fair. If admission into the fair is $10 and the rides cost $1.50 each, which inequality represents the greatest number of rides Daniel can go on?

Back

1.50x + 10 ≤ 40

Front

Four times a number increased by 7 is at least 19.

Back

4x + 7 ≥ 19

Front

Triniti had $500 in a saving account at the beginning of the summer. She wants to have at least $200 in the account by the end of the summer. She withdraws $25 each week for food, clothes, and movie tickets. Which inequality represents her situation?

Back

500 - 25x ≥ 200