Review Over Step Inequalities and Equations

What would be the best first step to solving the equation in one step?

• multiply both sides by ³/₂ 

• divide both sides by 3

• multiply both sides by 3

• subtract ²/₃  from both sides

-6x = 30

• x = - 5

• x = 24

• x = 5

• x = 36

x + 5 > 7

• x > -2

• x > 2

• x > 12

• x > -12

Solve the inequality.
x + 5 ≤ 13

• x ≥ 8

• x ≥ 18

• x ≤ 8 

• x ≤ 18 

-8x < 48

• x < -6

• x > -6

• x < 6

• x > 6

• m>7
• m≤5
• 5>m
• m>5

32 ≥ -16p 

• p ≥ 2

• p ≥-2

• p ≤ -2

• p < 48

Amira wrote the inequality p + 5 ≤ 18. Which situation is best represented by this inequality?

• Amira spent 18 minutes making p phone calls. Each call was at least 5 minutes long.

• Amira removed 18 marbles from a bag of p marbles. Afterwards, there were at least 5 marbles in the bag.

• Amira placed p pieces of paper in 18 stacks. Each sack had a most 5 pieces of paper.

• After Amira added 5 books to a stack of p books, there were no more than 18 books in the stack.

Monica wants to spend at most $40 at the county fair. Entrance to the fair costs $15. She can spend d dollars on other things at the fair. Which inequality can be used to find the possible values of d?

• d − 15 > 40

• d − 15 < 40

• d + 15 ≥ 40

• d + 15 ≤ 40

Sally bought three candy bars for a total of $18.00. Let c represent the cost of each candy bar.

• c + 3 = 18

• c - 3 = 18

• c/3 = 18

• 3c = 18