Inequality Sentence Problems

Write the word sentence as an inequality
a number b is at least -16

• b ≥ -16

• b ≤ -16

• b = -16

• b > -16

Write the word sentence as an inequality
6 times a number x is at most 47

• 6x > 47

• 6x ≥ 47

• 6x < 47

• 6x ≤ 47

Translate the word sentence into an inequality
a number, t, divided by 80 is at most 5.25

• t ÷ 80 ≥ 5.25

• t ÷ 80 ≤ 5.25

• t ÷ 80 > 5.25

• t ÷ 80 < 5.25

Tell whether the given value is a solution to the inequality
x - 5 ≤ 10 ;  x = 6

• IS a solution

• IS NOT a solution

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

What would be the first step in solving the inequality for 2x+7>15?

• Add 7 to both sides

• Subtract 7 from both sides

• Divide both sides by 2

• Multiply both sides by 2

Tell whether the given value is a solution to the inequality
y + 4 < 16 ;  y = 13

• IS a solution

• IS NOT a solution

A slice of pizza costs $3.50.  You have $25.00 in your wallet to spend on pizza.  Write an inequality to represent the number, p, of slices of pizza you can buy.

• 3.50p < 25.00

• 3.50p > 25.00

• 3.50p ≤ 25.00

• 3.50p ≥ 25.00

On Friday Fun Day, Mrs. Burns must divide her class into 4 groups with at least 6 students in each group. Write an inequality to find the number, s, of students in class.

• s ÷ 4 ≥ 6

• s ÷ 4 ≤ 6

• s ÷ 6 ≥ 4

• s ÷ 6 ≤ 4

Translate the following sentence into an inequality
four more than a number is less than 17

• x + 4 > 17

• x + 4 ≤ 17

• x + 4 < 17

• x < 17 + 4