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Worksheets

Word Problems and Equations

Total questions: 11

Worksheet time: 11mins

Name
Class
Date
1.

At Joe's Clown Car Rental Agency, renting a car costs a one time fee of $35 plus $0.75 for every mile it is driven. Which of the equations below would be the correct if it costs Melissa $105 to rent a car?

a)

105 = x(35 + 0.75)

b)

105 = 35x + 0.75

c)

105 = 0.75x + 35

d)

105 = 0.75(x + 35)

2.

Tube has already baked 4 cakes, and he can bake 1 cake with each additional stick of butter he buys. Write an equation that shows the relationship between the number of additional sticks of butter x and the number of cakes y.

a)

y=|4x|

b)

y=4/x

c)

y=4x

d)

y=4+x

3.

A man is climbing down from 100 feet high descending 30 feet per minute.

a)

y = 100 - 30x

b)

y = 100 + 30x

c)

y = 100x + 30

d)

y = 100x - 30

4.

In this soccer season, Emma has scored 1 more than twice the number of Nick's goals. If Emma has scored 15 goals, which equation can be used to find x, the number of Nick's goals?

a)

x - 15 = 1

b)

x + 1 = 15

c)

2x + 1 = 15

d)

x + 1 = x + 15

5.

A rectangle has a perimeter of 100 inches. Its length is one more than two and a half times its width. Which equation can be used to determine the width of the rectangle?

a)

2.5x + 1 = 100

b)

3.5x + 1 = 100

c)

5x + 2 = 100

d)

7x + 2 = 100

6.

. Lexi's Great Grandmother is twelve years older than six times her age. The sum of their ages is 117. Which equation can be used to determine Lexi's age?

a)

6x - 12 = 117

b)

7x - 12 = 117

c)

7x + 12 = 117

d)

6x + 12 = 117

7.

There are 15 animals in a barn. These animals are horses and chickens. There are 44 legs in all. Which system of equations represents the situation?

a)

x + y = 15

4x + 2y = 44

b)

4x + 2y = 15

x + y = 44

c)

x = 2y + 44

4x = y + 15

d)

2x - 4y = 44

x - y = 15

8.

If ChipCo sold their bags of corn chips for $5 per bag plus $1 for bagging it and it costs the same as $4 per bag of CrunchyChips corn chips plus their price of $2 for bagging it, what would the equation be and how many bags of chips would make them cost the same?

a)

5 + 1x = 2x + 4; 1 bag of chips

b)

9x = 3; 3 bags of chips

c)

5x + 1 = 4x + 2; 1 bag of chips

d)

5x = 6x; -1 bag of chips

9.

Pat needs 14 sticks of pepperoni to make 28 pizzas. How many sticks of pepperoni are needed to make 36 pizzas?

a)

15 pizzas

b)

252 sticks

c)

18 sticks

d)

18 pizzas

10.

Which situation below is representative of y-intercept?

a)

putting $300 a month into savings

b)

buying $30 worth of supplies for a lemonade stand

c)

Spending $3 per ride at the fair

d)

Paying $2 for parking every day

11.

It takes Jack 10 hours to clean the yard. Cody can clean the yard in 7 hours. How long would it take if they worked together.

a)

4 hours and 12 minutes

b)

3 hours 12 minutes

c)

4.12 hours

d)

3.12 hours