Linear Expressions Word Problems

A pool starts with 45 gallons of water and has a slow leak that causes it to lose 5 gallons of water an hour. How many hours would it take for the pool to have 25 gallons?

A clothing subscription company charges a one time fee of $30 and then $12 a month. If you had the subscription for 8 months, how much money would you have paid total?

What is the constant in the following word problem:

A small pool started with 75 gallons of water and has a leak that decreases the amount of water by 8 gallons every hour.

• 67

• 8

• 75

• 83

Addison has 6x – 7 pairs of shoes while China has 2x + 3 pairs of shoes. How many more pairs of shoes does Addison have than China?    

• 8x - 4

• 8x + 10

• 4x - 4

• 4x - 10

Sara has x number of apples, 3 times as many oranges as apples, and 2 peaches. Write an expression in simplest form that represents the total number of pieces of fruit. Write an expression in simplest form.

• x + 3 + 2

• 3x + 2

• x + 3x + 2

• 4x + 2

An airline charges $(22x + 20) for a ticket, $(x + 1) to check a bag, $2x for food, and $(15x – 16) to upgrade to first class. Write an expression to represent the total cost of flying first class, checking a bag, and buying food on the plane.

• 39x + 4

• 39x + 5

• 40x + 5

• 40x + 37

T-shirts cost 2x and jeans cost (4x – 5). Write an expression that represents the cost to buy three t-shirts and one pair of jeans. Then, simplify your expression.

• 3(2x) + (4x - 5), 9x - 5

• 3(2x) + (4x - 5), 10x - 5

• 2x + (4x - 5), 6x - 5

• 2x + (4x - 5), 8x - 10

Loy paid $(4x + 7) for a beef roast and $(2x – 5) for five pounds of potatoes. Write an expression for the total amount he spent on food.

• 6x + 2

• 6x + 11

• 8x - 35

• 8x + 35

A grasshopper has a length of (5x – 2) inches. A spider has a length of (2x – 1) inches. How much longer is the grasshopper?

• 3x - 1

• 3x - 3

• 7x - 3

• 7x + 3

Two Florida panthers were weighed. One weighs 6x + 21 pounds and the two together weigh 14x + 11 pounds. How much does the other panther weigh alone?

• -8x + 11

• -8x - 11

• 8x - 10

• 8x + 10