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Equations

Total questions: 70

Worksheet time: 3hrs 0mins

Name
Class
Date
1.
What equation matches this situation?
Robyn had some video games then bought 4 more.  Now she has a total of 10 games.
a)
v - 4 = 10
b)
v + 4 = 10
c)
10 - 4 = v
d)
Answer not Given
2.

Which choice models this situation?


Last week, Tina worked 35 hours in 5 days. She worked the same number of hours each day. How many hours did she work each day?

a)

h - 5 = 35

b)

h + 5 = 35

c)

5h = 35

d)

h/5 = 35

3.

Which choice models this situation?


Jack needed new pencils for school today. He took 6 pencils from a new box of pencils. If there are 18 pencils left in the box, how many pencils were in the brand new box?

a)

p - 6 = 18

b)

p + 6 = 18

c)

6p = 18

d)

p/6 = 18

4.

Becky is preparing for her younger sister's birthday party. She splits a jar of lollilops evenly among 6 goody bags. Each bag ends up with 4 lollipops.


Which equation can you use to find the number of lollipops n in the jar?

a)

n/6 = 4

b)

n - 4 = 6

c)

4n = 6

d)

n + 6 = 4

5.

Solve for y.

y−4.6=12y-4.6=12  

a)
16.6
b)
5.8
c)
7.4
d)
Answer not Given
6.

Which choice models this situation?


Anna participated in a read-a-thon. Mr. Cole pledged $4 per book and gave Anna $44. How many books did Anna read?

a)

b - 4 = 44

b)

b + 4 = 33

c)

4b = 44

d)

b/4 = 44

7.

Solve for r.

r+20=27r+20=27  

a)
r = 7
b)
r = 47
c)
r = 13
d)
r = 20
8.

Solve the equation: 4p=164p=16  

a)
p = 12
b)
p = -12
c)
p = -4
d)
p = 4
9.

 x5=20\frac{x}{5}=20 

a)

100

b)

120

c)

4

d)

5

10.
Sally had 10 peaches left at her roadside fruit stand. She went to the orchard and picked more peaches to stock up the stand. There are now 73 peaches at the stand. Write an equation that could be used to find how many peaches she picked.
a)
x + 10 = 73
b)
73 + x = 10
c)
10x = 73
d)
x - 10 = 73
11.

Solve the equation:

2w=582w=58  

a)
w = 29
b)
w = 32
c)
w = 15
d)
w = 116
12.

 Find the value of the variable:  8 =k2.5Find\ the\ value\ of\ the\ variable:\ \ 8\ =\frac{k}{2.5} 

a)

5

b)

10

c)

20

d)

10.5

13.

 2a3= 20\frac{2a}{3}=\ 20 

a)

a = 30

b)

a = 60

c)

a = 40

d)

a = 120

14.
A fitness club opens with 80 members. Each month the membership increases by 15 members. Which equation represents the relationship between the number of months the club has been opened, x, and the total fitness club membership, y?
a)
y=15x
b)
y=15x+80
c)
y=x+15
d)
y=80x+15
15.
Adrianna has $20 in her savings account. Each week she will add $5 to it. Which equation represents this situation?
a)
y=25x
b)
y=20x+5
c)
y=5x+20
d)
y=5x
16.
Jacob collects hats.  He has 6 hats already, and he collects 2 hats a week.
a)
y = 2x + 6
b)
y = 6x + 2
c)
y = 2x - 6
d)
y = 6x - 2
17.
Bob has $150 in his savings account and saves $40 per month.
a)
y = 150 + 40
b)
y = 40x + 150
c)
y = 150x + 40
18.

Which equations represents a lion running 60 miles per hour?

a)

d=60

b)

d=60t

c)

r=60t

d)

t=60d

19.

Which of the following represents a biker who can travel 12 miles per hour?

a)

d=12

b)

d=12t

c)

t=12d

d)

r=12r

20.

The Johnson's are taking a family trip. They are travelling 65 miles per hour. Their destination is 390 miles away. How long will it take them to get there if they continue at this same rate?

a)

5 hours

b)

6 hours

c)

24 hours

d)

325 hours

21.

Josef gets an allowance of $10 per week. If he does chores, his parents give him an additional $3 per hour for every hour of work. Which algebraic rule can Josef use to find m, the amount of money he will have after a week of doing x additional hours of chores?

a)

m=10+3x

b)

m=13x

c)

m=3+10x

d)

m=10x

22.

Trevor took up a school test, the duration of which was one hour. There were two sections to be answered. If he finished the first section in 35 minutes, how much time remained for him to complete the second section?

a)

x + 25 = 60 ; 35 minutes

b)

x + 35 = 60 ; 25 minutes

c)

x = 60 - 35 ; 25 minutes

23.
Which equation matches the graph?
a)
y = 8x
b)
y = 1x
c)
y = 3x
d)
y = 16x
24.
Analyze the point (3, 27). What does the point represent? 
a)
The point (3,27) represents 27 shirts for $3. 
b)
The point (3,27) represents $27 for 3 shirts. 
25.

Which of the following is the label for the independent variable.

a)

Money Collected

b)

Raising Money

c)

Boxes Sold

d)

None of the above

26.
Which label best describes the dependent quantities shown in the table?
a)
Number of tickets (t)
b)
Cost (c)
27.
Which label best describes the independent quantities shown in the table?
a)
Number of tickets (t)
b)
Cost (c)
28.

Jimmy earned $8 for every pizza he delivers.


m = money (dollars)

p = number of pizzas delivered


The dependent variable is:

a)

m = money

b)

p = number of pizzas delivered

29.

Emma gets one sticker for every paper she completes.


s = stickers earned

p = papers completed


The independent variable is:

a)

s = stickers earned

b)

p = papers completed

30.

Ty earns $12 per hour. How much money, m, does he earn on a shift of h hours? Identify the dependent variable.

a)

m: money

b)

h: hours

31.

Which is a solution to the equation

 y=5xy=5x  ?

a)

(1,5)

b)

(0,5)

32.

Is the ordered pair (10, 3) a solution of y = 4x - 1?

a)

Yes

b)

No

33.

Is the ordered pair (3, 11) a solution of y = x - 8?

a)

Yes

b)

No

34.
Which of these is a solution to the equation
y -12= x ?
a)
(0,12)
b)
(1,12)
35.
Which of the following points are solutions to the equation?
 y = 3x + 2
a)
(0,3)
b)
(1, 6)
c)
(1, 5)
d)
(6, 0)
36.

Determine the solution to the equation:


x - 32 = 49

a)

x = 17

b)

x = 71

c)

x = 81

d)

x = 49

37.

What step would you perform on BOTH sides of the equation to solve the equation below?


x - 62 = 123

a)

Add 62 to each side.

b)

Subtract 62 from each side.

c)

Multiply each side by 62.

d)

Add 123 to each side.

38.

Which equation has x = 5 as the solution?

a)

x + 15 = 10

b)

2x = 5

c)

2x = 10

d)

x/2 = 10

39.

Determine the solution to the equation:


x + 40 = 56

a)

x = 16

b)

x = 96

c)

x = 15

d)

x = 10

40.

The variable, k, is being divided by 11 in the equation above. What step would you use to solve the equation?

a)

Divide both sides by 11

b)

Multiply both sides by 11.

c)

Add 11 to both sides.

d)

Subtract 11 to both sides.

41.

Which equation has w = 8 as the solution?

a)

8w = 64

b)

16w = 240

c)

16 - w = 9

d)

4 + w = 10

42.

Determine the solution to the equation:


4x = 44

a)

x = 4

b)

x = 11

c)

x = 12

d)

x = 176

43.

Determine the solution to the equation:


255 = 17h

a)

h = 15

b)

h = 4,335

c)

h = 238

d)

h = 12

44.

Determine the solution to the equation:


x - 125 = 375.

a)

x = 3

b)

x = 250

c)

x = 500

d)

x = 475

45.
Choose the best explaination
a)
Taylor can write 6 words per minute
b)
Taylor can write 25 words per minute
c)
Taylor can write 50 words per minute
d)
Taylor can write 150 words per minute
46.
What is the equation of the line?
a)
y = 20x
b)
y = x + 20
c)
y = 2x
d)
y = x + 2
47.
You earn $18 for every hour you work. Which equation represents this function?
a)
y=(18/2)x + 0
b)
y = 18x
c)
y = 2x + 18
d)
y = 18x + 2
48.
Write an equation from the graph using (p) for price and (w) for weight.
a)
p = 20w
b)
w = 20p
c)
p = 20p
d)
w = 20w
49.

The money I have is represented by the equation:

y = 10x + 100 where x = number of weeks and y = money remaining.


How does my money CHANGE each week?

a)

increases by $10 each week

b)

decreases by $10 each week

c)

increases by $100 each week

d)

decreases by $100 each week

50.

What is the correct equation for the graph?

a)

y = x + 5

b)

x = y

c)

y = 5x

d)

x = 5y

51.

The table shows the relationship between y, the cost to rent a boat, and x, the amount of time the boat is rented. Which graph best represents the relationship between x and y shown in the table? (7.7A)

a)
b)
c)
d)
52.

Jack wants to save up money to buy his math teacher a new calculator for the holidays.


He saves $12 per week. He started off with $30 in his savings. What would be the linear equation to represent this situation?

a)

y=12x

b)

y=12x+30

c)

y=42x

d)

y=30x+12

53.
How much does it cost to have your lawn mowed for 2 hours?
a)
$16
b)
$17
c)
$18
d)
$19
54.

A plumber charges $50 to make a house call. He also charges $25 per hour for labor.


How much would it cost for 2.5 hours of labor?

a)

$100

b)

4.50

c)

$112.50

d)

$65.00

e)

$123.45

55.

Your new job is at the Custom T Shop, where T Shirts are printed to order. For each order, Custom T Shop charges $8 per shirt plus a one time set up fee of $15, represented by the equation y=8x+15


How much would 50 shirts cost?

a)

y= 40

b)

y= 400

c)

y= 415

d)

y= 65

e)

y= 390

56.

Priya streams movies through a company that charges her a $5 monthly fee plus $1.50 per movie What is the dependent variable?

a)

the number of movies she rents

b)

the company that she rents from

c)

the cost

d)

the monthly fee

57.
a)
The dependent variable is total cost
b)
The dependent variable is weight
c)
The independent variable is total cost
d)
The independent variable is cost of a package
58.

Savannah pays $5 a month, m, for her music club subscription.


m= represents # of months

s= total costs of subscription

a)

The independent variable is "s"

b)

The dependent variable is "m"

c)

The independent variable is "5m"

d)

The independent variable is "m"

59.

Ty earns $12 per hour. How much money, m, does he earn on a shift of h hours? Identify the dependent variable.

a)

m: money

b)

h: hours

60.

Which of the following equations match the table.

a)

x = 2y

b)

y = 2x

c)

y = x + 5

d)

x = y

61.
On a graph, which axis shows the dependent variable?
a)
x-axis
b)
y-axis
c)
neither
d)
it changes
62.
On a graph, which axis shows the independent variable?
a)
x-axis
b)
y-axis
c)
neither
d)
it changes
63.

The graph shows the distance traveled by Ms. Luce's family on a road trip. They will travel 25 miles each hour. Which statement is true about the situation?

a)

the independent variable is distance

b)

the independent variable is d=25 t

c)

the dependent variable is time

d)

the dependent variable is distance

64.
Kaleigh is purchasing apps on her iphone. Based on the table How much would it cost of 7 apps?
a)
$3
b)
$21
c)
$24
d)
$50
65.
A food service worker earns $12 per hour. How much money, m, does the worker earn on a shift of h hours? Identify the dependent variable.
a)
money
b)
hours
66.

Identify the independent variable:

The pages, p, in a book and the weight, w, of the book.

a)

p pages

b)

w weight

67.

Identify the dependent variable:

The temperature, t, of water and the number of minutes, m, the water is in the freezer

a)

t temperature of the water

b)

m minutes in the freezer

68.

The table shows the distance driven by the Williams family each day of their vacation. What is an independent variable that would affect the total distance they drove each day?

a)

How many people in the family

b)

How many pets they have

c)

How many hours they drive per day

d)

What time it is

69.

What is the relationship between t and c in this situation: A server earns t dollars in tips when she serves c customers.

a)

Both variables are dependent variables.

b)

Independent variable: t; Dependent variable: c

c)

Independent variable: c; Dependent variable: t

d)

Both variables are independent variables.

70.

Jimmy earned $8 for every pizza he delivers.


m = money (dollars)

p = number of pizzas delivered


The dependent variable is:

a)

m = money

b)

p = number of pizzas delivered

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