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DW 1.3b Word Problems

Total questions: 10

Worksheet time: 50mins

Name
Class
Date
1.

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 equation 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

2.

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)

3.

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 both systems to cost you the same amount.

a)

150x + 24 = 180 + 20x

b)

150 + 24x = 180 + 20x

c)

180 - 150 = 24 x + 20x

d)

150 - 24x = 180 - 20x

4.
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 
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)
.50 mile
d)
-4 miles 
6.
Joe’s Canoes charges an initial fee of $20 plus $4 an hour. Callie’s Canoes charges a flat rate of $14 an hour. Find the number of hours for which the total amount that both places charge would be the same.
a)
3 hours
b)
4 hours
c)
1 hour
d)
2 hours
7.

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

8.

Jo needs to collect 1,000 signatures for a petition. He has 520 and wants to collect the same number each week. He has 6 more weeks. Which equation represents this situation?

a)

520x+6=1000520x+6=1000  

b)

520+6x=1000520+6x=1000  

c)

1000520x=61000-520x=6  

d)

1000+6x=5201000+6x=520  

9.

Wes spent $14 on his lunch. He bought pizza slices, which cost $2.25 each and a soda which costs $2.75. Use an equation to find how many slices of pizza he bought.

a)

b)

c)

d)

10.

Adam works at a video game store Mon-Fri. He earns $80 per day plus $8 per video game sold. On Thursday, he makes $176.

How many video games did he sell that day?

a)

2

b)

3

c)

12

d)

11