Inequalities Intervention

-4 + y < -8

• y < 4

• y < -12

• y < -4

• y < 12

Select the inequality that will require "flipping/switching the symbol."

• x - 2 > -18

• x + 2 > -18

• 2x > -18

• -2x > -18

Johnny earns $15 per hour dog walking. He wants to earn at least $105 to buy a new bike. Which inequality represents how long Johnny needs to work to afford his new bike?

• 15h ≤ 105

• 15h > 105

• 15h < 105

• 15h ≥ 105

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

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.

To raise funds, members of the math club are selling rulers for $3 each. Their goal is to collect at least $270. Which inequality can be used to find x, the number of rulers the math club members can sell to reach their goal?

• x + 3 ≥ 270

• 3x ≥ 270

• 3x ≤ 270

• x + 3 ≤ 270

Last week, Tanesha ran a total distance of 12.5 miles. He track coach has asked her to run farther this week. She has run 9.3 miles so far this week. Let x represent the number of miles Tanesha runs for the rest of this week. Which inequality can be used to find the distances she can run to meet her coach's request?

• 9.3x > 12.5

• x + 9.3 ≥ 12.5

• x + 9.3 > 12.5

• x + 9.3 < 12.5

Mrs. Scott decided that she would spend no more than $120 to buy birthday presents for her triplets. Which inequality can be used to determine the maximum Mrs. Scott can spend on each child?

• 3x > 120

• 3x ≤ 120

• x + 3 ≤ 120

• x + 3 > 120

Trisha and her three sisters to decide to purchase their mom a Christmas gift. They decide that everyone will contribute an equal amount, up to $60 per person. Which inequality will help find how much money will the sisters spend on their mom for Christmas?

• x ÷ 4 ≤ 60

• 4x ≤ 60

• x ÷ 4 ≥ 60

• 4x ≥ 60

You start a dog walking business. Each dog you walk earns you $9. How many dogs will you have to walk before you have more than $27?

• x + 9 < 27

• 9x > 27

• x + 9 > 27

• 9x < 27