Inequalities Check-in

Julia wants to go bowling at the Syosset Bowling Alley. Each game costs $4.25. She needs to rent shoes, which costs $3.75. Julia does not want to spend more than $25. What is the maximum number of games Julia can bowl? Which translation matches the situation?

• 3.75x + 4.25 ≥ 25
• 3.75 + 4.25x ≤ 25
• 3.75 + 4.25x  ≥ 25
• 3.75x + 4.25 ≤ 25

Tags

CCSS.7.EE.B.4B

The length of a rectangle is 8 inches and the width is expressed as (x – 4) inches. The perimeter of the rectangle is more than 48 inches. Write an inequality to find all possible values for x.

• 2x + 8 >48
• x + 4 > 48
• 2x + 16 > 48
• x > 2

Tags

CCSS.7.EE.B.4B

Luke went to the St. Boniface Feast with $22.50 in his pocket. He bought a hot dog and a drink for $3.75, and then wanted to spend the rest of his money on tickets for rides which cost $1.25 per ticket. Write an inequality if Luke does not exceed 22.50.

• 22.50 - 3.75x ≥ 1.25
• 22.50 - 1.25x > 3.75
• 1.25x + 3.75 < 22.50
• 22.50 ≥ 1.25x + 3.75

Tags

CCSS.7.EE.B.4B

5x - 3 > 2What value below is a possible solution for x?

• 1
• 1.5
• - 0.20
• 0.75

Tags

CCSS.6.EE.B.5

• 1.25 ≤ x
• x ≤ 1.25
• 2.5 ≤ x
• x ≤ 2.5

The number line represents the solution to which of the following inequalities?

• $\frac{x}{-4}<-2$

• $\frac{x}{4}\ >-2$

• $\frac{x}{-4}\ge-2$

• $\frac{x}{4}\le-2$

The number line shows the solutions to an inequality. Which inequality does not match the graph?

• $2\ +\ x\ >\ 0$

• $3x\ -\ 8\ >-14$

• $-2x\ +\ 1\ <5$

• $-3x\ +\ 2\ >-4$

Which inequality is represented by the graphed solution?

• $3x\ +\ 8\ \le2$

• $4x\ +\ 12\ <4$

• $2x\ +\ 5\ \le1$

• $3x\ +\ 6\ <3$

Tags

CCSS.7.EE.B.4B

Which of the following values does not solve the inequality?
 $-2x\ -\ 6\ \le\ 1$  

•  $-4$  

•  $-3$  

•  $-2$  

•  $-1$  

-3 − 6(4x + 6) > -111

• x > 3
• x < 3
• x < -3
• x > -3

Tags

CCSS.6.EE.B.5

CCSS.6.EE.B.6

CCSS.6.EE.B.8