Unit 12 EOY Review: Equations & Inequalities Quick Check

Ms. Hernandez is taking her children and their friends to the movies. She will pay $10 for her adult ticket and $7 for each child ticket. Ms. Hernandez does not want to spend more than $40. Which inequality can be used to find c, the number of child tickets Ms. Hernandez can purchase?

• 7 + 10c > 40

• 10c – 7 ≤ 40

• 10 + 7c > 40

• 10 + 7c ≤ 40

If x = -3, then which inequality is true?

**Hint- Substitute -3 for x and then see if the statement is true or not.**

• -5x + 2 ≤ 12

• 3x – 7 ≥ −16

• 14 + 2x < 5

• 1/2 x + 6 > 11

Which two expressions are equivalent?

(Only one answer)

• A

• B

• C

• D

Which expression is equivalent to 9y − 1/2(4y + 20)?

• 11y-10

• 7y-10

• 7y+10

• 11y+10

If the perimeter of the rectangle is 118 units, then what is the value of x?

• x=9

• x=13

• x=18

• x=21

A courier service charges a $5 pickup fee, plus $0.15 per mile. The total charge to deliver a package was $7.85. How many miles did the courier service travel to deliver the package?

• 52 miles

• 19 miles

• 85 miles

• 33 miles

Which situation best represents the equation below?

26 = 179 – 9k

• A pool has 26 gallons of water in it. It is filled at a rate of 9 gallons per minute, until there are 179 gallons.

• A dairy farm has 179 cows in it. All of the cows are placed in groups of nine. There are 26 groups of cows

• There were 26 boxes for delivery at the post office one morning. By the end of the day, 179 boxes had been added to the delivery pile. The boxes will be delivered in groups of k

• A school assembly has 179 students in it. Nine teachers escort k number of students out of the assembly, until there are 26 students remaining

The number line below represents the solution to which inequality?

• -2x + 7 ≥ 8

• 7x + 11 ≤ 4

• 6x – 9 ≤ −21

• -3x – 15 ≤ −27

A home improvement store advertises 60 square feet of flooring for $253.00, plus an additional $80.00 installation fee. What is the cost per square foot for the flooring?

**Add the cost of the flooring ($253) and the installation fee ($80), then divide to find the cost per square foot.**

• $4.95

• $5.25

• $5.55

• $6.06

What is the value of x in this equation?

-4x + 8 = 42

(Type number only)