Inequality Quiz

• Divide by -2/3
• Multiply by -2/3
• Add -2/3
• Subtraction -2/3
• Reverse (flip) the inequality sign
• Keep the sign the same

• x < 6

• x > -12

• x > -27

• x < 27

Cara is designing a rectangular patio. She wants the area of the patio to be larger than 72 square feet but no greater than 156 square feet. She knows she wants the length to be 12 feet. Write an inequality representing a length that meets the requirements for the MAXIMUM area.

​​ (a)   a (b)   ​ (c)  

• 12
• ≤
• 156
• 72
• ≥
• <
• 6
• 24

Cara is designing a rectangular patio. She wants the area of the patio to be larger than 72 square feet but no greater than 156 square feet. The length of the patio is going to be 12 feet.

What is the MAXIMIUM width that she could have for her patio?

• 6 ft

• 13 ft

• 10 ft

• 12 ft

Shawna earns $12.75 per hour. How many hours does she need to work to earn $102 or more?

She will need to work ​ (a)   ​ (b)   hours.

• at least
• 8
• at most
• less than
• more than
• 10
• 9
• 5

Kyle is renting a boat with his family at the lake. The rental company initially charges $50 for the boat plus $25 per hour. The facility plans to spend no more than $250 on the boat rental. How many hours can they rent the boat?

What would be presented using a variable?

• Hours Rented

• Number of Boats

• Initial Charge

• Hourly Rate

Kyle is renting a boat with his family at the lake. The rental company initially charges $50 for the boat plus $25 per hour. The facility plans to spend no more than $250 on the boat rental. How many hours can they rent the boat?

Write an inequality for this problem.

​ (a)   +​ (b)   h ≤ ​ (c)  

• 50
• 25
• 250
• 75
• 5
• 200

What numbers could be possible solutions for the following inequality? Select all that apply.

-9x - 4 ≤ 23

• x=3

• x=-5

• x=0

• x=26

• x=-9

Match the following

• Sum of 4 and 4 times n is at least 10

• 4n - 4 > 10

• Sum of 4 and 4 times n is less than 10

• 4n + 4 ≥ 10

• 4 times a number greater than 10.

• 4n - 4 ≥ 10

• 4 less than 4 times n is greater than 10

• 4n + 4 < 10

• 4 less than 4 times n is 10 or more

• 4n > 10

Solve the inequality. (No spaces in your answer)

3w + 1 ≥ 19

Mathematical Equivalence

ON