Multistep Inequality

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

Answer explanation

Cameron spends $6 on shoe rental and $8 per game. The total cost is represented by the inequality 8x + 6 ≤ 42, where x is the number of games. This shows that the total must be less than or equal to $42.

Tags

CCSS.7.EE.B.4B

What is the first step to solving this inequality?

• Add 9 to both sides of the inequality.

• Divide both sides of the inequality by 9.

• Subtract 6 on both sides of the inequality.

• Add 6 to both sides of the inequality.

Answer explanation

To solve the inequality 9x - 6 > 66, the first step is to isolate the term with x. Adding 6 to both sides simplifies the inequality to 9x > 72, making it easier to solve for x.

Tags

CCSS.7.EE.B.4B

-138 ≥ -6(6b − 7)

• b ≤ 5

• b ≤ -5

• b ≥ 5

• b ≥ -5

Tags

CCSS.7.EE.B.4B

Solve:
-8(x - 3) - 4x < 108

• x > -38

• x > -14

• x > -7

• x < -38

-p − 4p > -10

• p > -2

• p > 2

• p < -2

• p < 2

Tags

CCSS.6.EE.B.8

I can solve Inequalities.
4(5x + 2) ≤ 28

• x ≤ 1

• x ≥ 1

• x ≤ 8

• x ≥ 8

Tags

CCSS.7.EE.B.4B

solve 5( 6 + 3r) + 7 ≥ 127

• r ≤ 6

• r ≥ 6

• r ≤ -6

• r ≥ -6

Tags

CCSS.7.EE.B.4B

Solve:
3(y+5)≥21

• y≤2

• y≥2

• y≥12

• y≤12

Tags

CCSS.7.EE.B.4B

Solve. 5 - (x - 4) > -2

• x > 11

• x < 11

• x > -11

• x < -11

Tags

CCSS.7.EE.B.4B

9 ≥ -2m + 2 − 3

• m ≤ 5

• m ≤ -5

• m ≥ -5

• m ≥ 5

Tags

CCSS.7.EE.B.4B