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2.1 Creating & Solving Equations

Total questions: 13

Worksheet time: 3hrs 15mins

Name
Class
Date
1.

WRITE AN EQUATION

You bought a $5 magazine and four

erasers. You spent a total of $25. How

much did each eraser cost?

a)

5+x=25

b)

4x + 5 = 25

c)

5x = 25

d)

5x + 4 = 25

2.
Scott works on cars. He charges $35 for each car plus $7 per hour. Write an equation that represents this scenario if Kylie's car bill was $63.
a)
7x + 35 = 63
b)
7x = 63
c)
7x - 35 = 63
d)
35x + 7 = 63
3.
A gymnastics center charges a $60 registration fee and $15 per class. Olivia registers to take a class and pays a total of $210. Which equation can be used to determine how many classes Olivia signed up for?  
a)
60 - 15x = 210 
b)
15x - 60 = 210
c)
15x + 60 = 210 
d)
210 + 15x = 60 
4.
WRITE AN EQUATION
For a field trip 4 students rode in cars and the rest filled nine buses. How many students were in each bus if 472 students were on the trip?
a)
4x=472
b)
9x=472
c)
4+9x=472
d)
4+x=472
5.

There were 331 students that went on a field trip. Six buses were filled and 7 students traveled in a van. How many students were on each bus?

a)

6 + 7x = 331

b)

331 - 6x = 7

c)

6x + 7 = 331

d)

6x + 7y =331

6.

A computer printer can print 10 pages per minute. There were already 35 pages in the tray. The total pages printed was 115 pages. How many minutes has the printer been running?

a)

35 + 10x = 115

b)

35x + 10 = 155

c)

155 = 10 + 35

d)

155 + 10x = 35

7.
Rayshawn and Robert are both saving money for their summer vacations. They began saving at the same time. Rayshawn started with $10.25 and adds $5.15 to his savings every month. Robert did not have a starting amount but adds $10.25 to his savings every month. Which equation could be used to determine how many months, m, it will take before Rayshawn and Robert both have saved the same amount of money?
a)
5.15m + 10.25 = 10.25m
b)
10.25m + 5.15 = 10.25m
c)
10.25m + 10.25 = 5.15m
d)
10.25m – 5.15 = 10.25m
8.
Renting boats on a lake costs $22 per hour plus a flat fee of $10 for insurance. If you paid $98 to rent the boat, how many hours did you rent the boat?
What is the correct equation to solve?
a)
22 + 10h = 98
b)
22 + 10 = 98h
c)
98 + 10 = 22h
d)
22h + 10 = 98
9.
Which equation matches this situation?
Diego is saving money for concert tickets to Melanie Martinez, after mowing lawns he has a $120. He already has $46 saved and earned $15 per lawn.
a)
46 + 15x = 120
b)
15x + 46 = 120
c)
120 = 46x - 15
d)
120 = 46x = 15
10.

Which situation is best represented by the following equation?

45w + 123.95 = 753.95

a)

Erica paid $753.95 for dance classes. She paid a $45 registration fee and $123.95 for each week she was enrolled in the classes. What is w, the number of weeks Erica was enrolled in dance classes?

b)

Erica and her sister paid $753.95 for dance classes. Erica paid $123.95 for each week she was enrolled in the classes, and her sister paid $45 for each week she was enrolled in the classes. What is w, the number of weeks Erica and her sister were enrolled in dance classes?

c)

Erica paid $753.95 for dance classes. She paid a $123.95 registration fee and $45 for each week she was enrolled in the classes. What is w, the number of weeks Erica was enrolled in dance classes?

d)

Erica paid $753.95 for dance classes. She paid a $123.95 for each week she was enrolled in the classes after using a coupon that gave her $45 off the price per week. What is w, the number of weeks Erica was enrolled in dance classes?

11.
A hockey season ticket holder pays $72.48 for all of her tickets plus $6 for a program each game. A second person pays $18.08 for a ticket to each game, but doesn’t buy programs.  Write an equation that shows when the two fans will pay the same amount.
In how many games will they have paid the same amount? 
a)
18.08 + 6x = 72.48x;  6 games
b)
72.48 + 6x = 18.08; 9 games
c)
72.48 + 6x = 18.08x; 9 games
d)
72.48 + 6x = 18.08x; 6 games
12.

A hockey season ticket holder pays $72.48 for all of her tickets plus $6 for a program each game. A second person pays $18.08 for a ticket to each game, but doesn’t buy programs.

In how many games will they have paid the same amount?

a)

6 games

b)

7 games

c)

8 games

d)

9 games

13.

How confident are you with creating and solving equations at this point?

a)

I can solve everything we've done in class easily

b)

I've struggled with a few, but am starting to feel better.

c)

I still am struggling a bit and need to practice some more.

d)

I'm super confused and need help