Linear Expressions Word Problems

At the gym, Tika spends twice as much time doing aerobics than weight training. She stretches for one fifth of the time she spends on weight training. Let w be the amount of time Tika spends on weight training. Which expression represents her total workout?

• 2w + 5w + w

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

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

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

Find the missing side of a trapezoid placemat if the perimeter is 28x + 11 inches. Two sides have a length of

(8x + 2)inches, while the other side has a length of (5x + 12)inches.

• 7x + 5

• 7x - 5

• 18x - 3

• 18x + 25

The cost of a gallon of gasoline at Racetrack is (-2x + 3.5) and at Speedway it is (x - 1.2). How much more does gasoline cost at Speedway than at Racetrack?

• -3x + 4.7

• -3x + 2.3

• 3x + 2.3

• 3x - 4.7