Inequality Word Problems

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

Tags

CCSS.6.EE.B.8

Write an inequality:
Twenty-two more than four times a number is less than 82.

• 22 + 4n ≤ 82
• 22 + 4n > 82
• 82 + 22n ≥ 4
• 22 + 4n < 82

Tags

CCSS.7.EE.B.4B

A number multiplied by 2 is no more than 12

• x > 12
• x < 12
• 2x ≤ 12
• 2x > 12

Tags

CCSS.6.EE.B.8

The quotient of a number and 2 is more than 20. 

• x ÷ 3 < 20
• 3x < 30
• x ÷ 2 > 20 
• 3x > 30

Tags

CCSS.6.EE.B.8

A student must be at least 15 years old to obtain a driver’s permit.

• x > 15
• x < 15 
• x ≤ 15
• x ≥ 15

Tags

CCSS.6.EE.B.8

Which of the following inequalities would require you to flip the sign when solving?

• 2x < 3
• 3x > - 9
• -4x ≥ 10
• 5x ≤ 15

Tags

CCSS.6.EE.B.8

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

Tags

CCSS.7.EE.B.4B

The Starlight Bowling Alley charges $6 to rent shoes and $8 per game. Cameron has only $42 to spend. Which inequality represents this scenario if “x” represents the number of games Cameron can play?

• 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 the number of months, m, it will take Svetlana's hair to grow so it is at least 7 centimeters long.

• 4+ 1.5m <= 7
• 1.5m - 4 <=7
• 1.5m - 4>= 7 
• 1.5m + 4 >= 7

Tags

CCSS.7.EE.B.4B

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

Tags

CCSS.7.EE.B.4B