Inequalities Word Problems

At least 25 cats are on my porch.

• c<25
• c>25
• c≤25
• c≥25

Tags

CCSS.5.G.A.2

Grace has at most $45 in her purse.

• g<45

• g>45

• g≤45

• g≥45

Tags

CCSS.6.EE.B.8

The Starlight Bowling Alley charges $6 to rent shoes and $8 per game. Cameron can spend at most $42 at the bowling alley. Which inequality represents this scenario?

Let “x” = the number of games played

• 6x + 8 ≥ 42

• 8x + 6 ≤ 42

• 6x + 8 > 42

• 8x + 6 < 42

Tags

CCSS.7.EE.B.4B

Svetlana's hair is 4 centimeters long. Her hair grows 1.5 centimeters per month. Svetlana wants her hair to grow so that it is at least 7 centimeters long. Write an inequality to determine how long it will take Svetlana's hair to grow so it is at least 7 centimeters long.

Let m = # of months

• 4+ 1.5m ≤ 7

• 1.5m - 4 ≤ 7

• 1.5m - 4 ≥ 7

• 1.5m + 4 ≥ 7

Mr. Ross needs at least 400 forks for his restaurant. He currently has 278 forks. Each set has 12 forks, what is the minimum set of forks he should purchase?

Let s = the number of sets of forks purchased

• 12s + 278 ≤ 400

• 12s + 278 ≥ 400

• 278s + 12 ≥ 400

• 12s - 278 ≥ 400

- 4x + 14 ≤ 54

• x ≥ -10

• x ≤ -10

• x ≥ 17

• x ≤ -17

5z - 2 - 2z < 13

• z > 5
• z < 5
• z > 1
• z < 1

Tags

CCSS.6.EE.B.5

CCSS.6.EE.B.6

CCSS.6.EE.B.8

-5(2x-4)>60

• x < -4

• x > -10

• x < -8

• x > -8

To rent a car, the company charges $25 for gasoline and $21 per day. Jim can spend at most $115 to rent a car for his trip. At most how many days he can rent the car?

Let d = the number of days renting a car

• 3 days

• 4 days

• 5 days

• 6 days

Ben earns $65 working as a delivery person and an additional $8 per delivery that he makes. He wants to earn at least $185 after doing all his deliveries. At least how many deliveries does he need to meet his goal?

• 15 deliveries

• 16 deliveries

• 17 deliveries

• 18 deliveries

Tags

CCSS.7.EE.B.4B