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Worksheets

Multi Step Word Equations

Total questions: 20

Worksheet time: 20mins

Name
Class
Date
1.

Mary spent half of her allowance going to the movies. She washed the family car and earned seven dollars. What is her weekly allowance if she ended with seventeen dollars? 

a)

$20

b)

$48

c)

$10

d)

$12

2.

Keith bought a soft drink for 2 dollars and 6 candy bars. He spent a total of 14 dollars. How much did each candy bar cost? 

a)

$12

b)

$6

c)

$2

d)

$3

3.

Jacob collects hats. He has 6 hats already and collects 2 more hats each week. How many week would it take Jacob to collect 32 hats?

a)

13 weeks

b)

12 weeks

c)

14 weeks

d)

11 week

4.

The length of a rectangle is five inches less than three times its width. If the perimeter of the rectangle is 150 inches, find the dimensions.

a)

L=40 W=35

b)

L=50 W=25

c)

L=60 W=45

d)

L=55 W=20

5.

Taxi company A charges $8.00 to get into the cab and $0.75 per mile. Taxi company B charges $6.00 to get into a cab and $1.25 per mile. How many miles would the cost be the same for both companies?

a)

2 miles 

b)

4 miles

c)

0.50 mile

d)

-4 miles 

6.

A rental car agency charges $30.00 per day plus per mile $0.15. Another rental car agency charges $36.00 per day plus $0.10 per mile. How many miles would have to be driven in one day for both rental agencies to cost the same amount to rent?

a)

120 miles

b)

100 miles

c)

110 miles

d)

150 miles 

7.

Taxi company A charges $8.00 to get into the cab and $0.75 per mile. Taxi company B charges $6.00 to get into a cab and $1.25 per mile. How many miles would the cost be the same for both companies?

a)

2 miles 

b)

4 miles

c)

0.50 mile

d)

-4 miles 

8.

Aaron and Carl are working to earn money for prom. Aaron has $40 and is earning $6 a month for prom. Carl has $64 and $4 a week. How many weeks till they have the same amount?

a)

4 weeks

b)

6 weeks

c)

12 weeks

d)

never

9.

The larger number is 18 more than twice the smaller. If the sum of the two numbers is 93, find both numbers.

a)

18 & 75

b)

46 & 47

c)

37 & 56

d)

23 & 68

10.

The Frederick County Fair costs $15.00 to get in and $2.50 per ride, while the Montgomery County Fair costs $10.00 to get in and $3.00 per ride. Which equations could be used to determine how many rides you would need to go on for both fairs to be of equal value?

a)

15x + 2.5 = 10x + 3

b)

15 - 2.5x = 10 - 3x

c)

15 + 2.5x = 10 + 3x

d)

15 - 10 = 2.5x + 3x

11.

At Gamestop you can buy a Xbox One for $150.00 and each game to go with it would cost $24.00. Or, you can buy a Playstation 4 for $180.00 and each game for $20.00. Write an equation to determine how many games would need to be purchased for the cost to be equal?

a)

150x + 24 = 180 + 20x

b)

150 + 24x = 180 + 20x

c)

180 - 150 = 24 x + 20x

d)

150 - 24x = 180 - 20x

12.

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)

13.

What was the mistake the student make?

a)

The student did not distribute properly.

b)

The student did not combine like terms properly.

c)

The student did not subtract properly.

14.

Which was the mistake the student made.

a)

The student did not combine like terms properly on the left side.

b)

The student did not combine like terms properly on the right side.

c)

The student divided by the wrong value.

d)

The student has x on the wrong side of the equal sign.

15.

Which is the mistake the student made?

a)

The student did not distribute properly.

b)

The student did not combine like terms properly.

c)

The student did not divide by the proper value.

16.

Which of the following should be the correct answer to the problem above.

a)

x = 3

b)

x = 5

c)

x = 7

d)

x = -7

17.

Which of the following should be the correct answer to the question?

a)

x = 9

b)

x = -9

c)

x = 3

18.

Annie and Jamal each get paid $15 per hour with Jamal making an additional $26.50 in tips.  If together they made a total of $386.50, then how many hours did EACH person work if they both worked the same amount of hours?

a)

10 hours each

b)

11 hours each

c)

12 hours each

d)

13 hours each

19.

The Roaming Cell Phone Company charges $15.00 per month plus $0.20 per minute of airtime usage. If Tara's cell phone bill is $75, how many minutes did she talk on the phone?

a)

30 minutes

b)

60 minutes

c)

250 minutes

d)

300 minutes

20.

The length of a rectangle is 4 meters more than its width. The perimeter of the rectangle is 68 meters. What are the length and with of the rectangle?

a)

length = 19, width = 15

b)

Length = 15; width = 19

c)

Length = 15; width = 11

d)

length = 19; width = 23