Solving Inequalities

To qualify for an award, a student volunteers no less than 5 hours each week at the local hospital. Write an inequality that represents how many hours the student volunteers each week.

• X < 5
• X > 5
• X ≥ 5
• X ≤ 5

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

Solve the following inequality:
-4x + 14 ≤ 54

• x ≥ -10
• x ≤ -10
• x ≥ 10
• x ≤ 10

Tags

CCSS.7.EE.B.4B

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

My brother is 2 years older than I am. He is 18 years old. Which equation represents how old I am? 

• m - 2 = 18
• m + 2 = 18
• 2m = 18
• m/2 = 18

Tags

CCSS.HSA.CED.A.3

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

6. Pet Supplies makes a profit of $5.50 per bag on its line of natural dog food. If the store wants to make a profit of no less than $5225, how many bags of dog food does it need to sell? 

• x/5.50 ≥ 5225
• 5.50x ≥ 5225
• x + 5.50 ≤ 5225 
• x - 5.50 ≤ 5225

Tags

CCSS.6.EE.B.8

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

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

at least 45

• < 45
• > 45
• ≤ 45
• ≥ 45

Tags

CCSS.6.EE.B.8