One Step Inequalities & Word Problems

A new tree you just planted will grow to be at most 35 feet tall. If it is currently 6 feet tall. Which of the following inequalities could be used to find all all the possible values of how many more feet, f, will it grow?

• 6 + x ≥ 35

• 6 + x > 35

• 6 + x < 35

• 6 + x ≤ 35

An unknown number decreased by 9 is at most 25. What is the number?

• x - 9 ≤ 25

• x - 9 < 25

• x - 9 > 25

Monica wants to spend at most $40 at the county fair. Entrance to the fair costs $15. She can spend d dollars on other things at the fair. Which inequality can be used to find the possible values of d?

• d − 15 > 40

• d − 15 < 40

• d + 15 ≥ 40

• d + 15 ≤ 40

Johnny earns $15 per hour dog walking. He wants to earn at least $105 to buy a new bike. Which inequality represents how long Johnny needs to work to afford his new bike?

• 15h ≤ 105

• 15h > 105

• 15h < 105

• 15h ≥ 105

y - 13 ≤ -15

• y ≤ 2

• y ≤ -2

• y ≤ 28

• y ≤ -28

Pick the correct inequality.

• A

• B

• C

• D

w + 4 ≤ -5

• w ≤ -9 

• w ≥ -9

• w ≤ -1 

• w ≥ -1

Solve
-5m < 10

• m < -2

• m > -2

• m < -50

• m > -50

The solution set of the inequality r - 14 ≥ 17 is: (a)   .

• r ≥ 3

• r ≥ -31

• r ≥ 31

• r > -3

Top Golf charges $12 for each hour. You can spend no more than $60. Which of the following inequalities could help you solve for all the possible hours, h, that you can golf for?

• 12x < 60

• 12x ≤ 60

• 12x > 60

• 12x ≥ 60