Equations, Inequalities and Expressions

A student needs to collect at least 10 flowers for a science project. The student has already collected 3 flowers. The inequality shown can be used to find n, the number of flowers the student still needs.

n + 3 ≥ 10

Which inequality represents the solution set for this situation?

• n ≤ 13

• n ≥ 13

• n ≤ 7

• n ≥ 7

Which expression is equivalent to 16 + 2 ⋅ 36?

• 2⁴ + 2³ ⋅ 3²

• 2³ + 2³ ⋅ 3²

• 2⁴ + 2² ⋅ 3²

• 2³ + 2² ⋅ 3³

Keith wrote the expression shown to determine the cost in dollars for an upcoming trip. (127.50 - 23.50) + 3(86.50 + 4) Which expression is equivalent to the on Keith wrote?

• 107(90.50)

• 101(90.50)

• 104 + 3(90.50)

• 104 + 263.50

Leon wrote an expression that is equivalent to

(30 + 6) ÷ 12.

Which expression could be the one Leon wrote?

• 36 ÷ 3 ∙ 4

• (3 ∙ 3 ∙ 4) ÷ 4 ∙ 3

• 5 ∙ 6 + 2 ∙ 3 ÷ 3 ∙ 2 ∙ 2

• (3 ∙ 3 ∙ 2 ∙ 2) ÷ (3 ∙ 2 ∙ 2)

Jaden had $65. He spent $2 per day for 7 days. Then he was given $9 to divide equally between himself and his 2 friends. The following expression can be used to find the amount of money Jaden had after that.

65 - 2 ∙ 7 + 9 ÷ 3

Based on this expression, what is the amount of money Jaden had remaining?

• $150

• $54

• $20

• $444

Shareef wrote the expression 5(y + 2) + 4 to show the amount of money five siblings paid for snacks at a football game. Which expression is equivalent to the one Shareef wrote?

• 5 + y + 5 + 2 + 4

• 5 ∙ y ∙ 5 ∙ 2 + 4

• 5 ∙ y ∙ 4 + 5 ∙ 2 ∙ 4

• 5 ∙ y + 5 ∙ 2 + 4

Which expression is equivalent to y ∙ 48?

• (y ∙ 40) + 8

• (y ∙ 4) ∙ 8

• (y ∙ 40) + (y ∙ 8)

• (y ∙ 4) + 8

Which expression is equivalent to 30 ÷ (3 + x)?

• (3 + x) ÷ 30

• 30 ÷ (x + 3)

• (3 + 30) + x

• 30 ÷ 3 + 30 ÷ x

Which two expressions are equivalent?

• 4 + (3 ⋅ y) and (4 + 3) ⋅ y

• (18 ÷ y) + 10 and 10 + (y ÷ 18)

• 12 - (y ⋅ 2) and 12 - (2 ⋅ y)

• (10 - 6) ÷ y and 10 - (6 ÷ y)

Gram has a goal of walking at least 18 miles. She walks at a rate of 4 miles per hour. Which inequality can Gram use to find h, the number of hours she should walk in order to meet or exceed her goal?

• 4h ≥ 18

• 4h ≤ 18

• h + 4 ≥ 18

• h + 4 ≤ 18