Equations and Their Solutions Quick Check

Which situation best represents the equation below?

• A pool of water 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

Jeff is three years younger than twice Michael's age, m. Which equation can be used to find Jeff's age?

• J = 2m - 3

• J = 3m - 2

• J = 3 - 2m

• J = 2 - 3m

What is the value of x in this equation?

-4x + 8 = 42

• 8.5

• -12.5

• 12.5

• -8.5

Kasey and her sister both sold cookie dough as a school fundraiser. Kasey sold k tubs of cookie dough. Her sister sold three times as many tubs of cookie dough. If they sold a total of 88 tubs of cookie dough, then how many tubs of cookie dough did Kasey sell, k?

• 22

• 18

• 66

• 29

A courier service charges a $5 pick up 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

• X = 7

• X = -7

• X= 13

• X = -13

Mathematical Equivalence

ON

• 4 + X < 320

• 4 + X > 320