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Worksheets

Linear Relations

Total questions: 44

Worksheet time: 2hrs 32mins

Name
Class
Date
1.

Bob's Plumbing charges $25 per hour plus a service fee of $40 for coming out to your house. Which equation models this situation?

a)

y = 25x + 40

b)

y = 40x + 25

c)

y = 25x

d)

y = 25x - 40

2.

Amelia has $100 in her savings account and plans on solving $20 per week. Write an equation to represent this situation.

a)

y = 100x

b)

y = 20x

c)

y = 20x + 100

d)

y = 100x + 20

3.
Margaret is a waitress at The Seafood Bonanza.  She earns $3 an hour plus 90% of her tips.  Write an equation for her salary, S, if she works h hours and earns d dollars in tips.
a)
3h + 0.90d = S
b)
S = 90d + 3h
c)
S = 3d + 90h
d)
S = 3h + 9.0d
4.
The Roaming Cell Phone Company charges $15.00 per month plus $0.20 per minute of airtime usage.  If Juanita uses x minutes of airtime, what is an equation that can be used to determine her monthly cell phone bill (C)?
a)
C = 15 + 0.20x
b)
C =15 (0.20x)
c)
C = 15 + x + 0.20
d)
C = 0.20 + 15x
5.
Which equation best represents the relationship between x and y in the table shown?
a)
y=5x + 10
b)
y=1/5x+5
c)
y= 5x+5 
d)
y=10x+5
6.

What is the algebraic equation for the following table?

a)

y = x + 3

b)

y = 3x

c)

y = x ÷ 3

d)

y = x - 3

7.
Which equation matches the table?
a)
y = 3x + 9
b)
y = x + 9 
c)
y = x + 3
d)
y = 12x - 3
8.

Level 1

y=x-6

What is the missing number?

a)

12

b)

10

c)

14

d)

13

9.

Level 3 Which table of values can be defined by y=x+5?

a)

a

b)

b

c)

c

10.

Level 2 If my function rule is 4x, what is the OUTPUT if the input is 5?

a)

45

b)

54

c)

9

d)

20

11.

Level 2 If my function rule is 2x + 1, what is the OUTPUT if the input is 2?

a)

5

b)

4

c)

22

d)

23

12.

Level 2 If my function rule is x - 5, what is the OUTPUT if the input is 14?

a)

9

b)

19

c)

21

d)

1

13.

Level 4 If my function rule is 5x, what is my INPUT if the output is 10?

a)

1

b)

50

c)

2

d)

15

14.
Evaluate 2r + 1      if   r = 3
a)
6
b)
5
c)
7
d)
8
15.
Evaluate 5m when m=8
a)
58
b)
13
c)
85
d)
40
16.

3x - 5

where x = 5

a)

15

b)

35

c)

30

d)

10

17.

45/t

where t = 5

a)

8

b)

9

c)

10

d)

11

18.

1000/c

where c = 100

a)

10

b)

100

c)

1,000

d)

10,000

19.
Subtract a number from 10
a)
n-10
b)
10+n
c)
10/n
d)
10-n
20.
a number added to 19
a)
19-n
b)
19+n
c)
19/n
d)
19n
21.
4 less than a number 
a)
4/n
b)
4+n
c)
n/4
d)
n-4
22.
Nate has 6 fewer CDs than Emily.  If c represents the number of CDs Emily has, which expression tells how many CDs Nate has?
a)
6-c
b)
6+c
c)
c-6
d)
c+6
23.

the difference of a number and six

a)

x + 6

b)

x - 6

c)

6 - x

d)

x/6

24.

the quotient of a number and twelve

a)

x + 12

b)

x - 12

c)

12/x

d)

x/12

25.

twice a number plus six

a)

2x + 6

b)

2x - 6

c)

2x / 6

d)

2x (6)

26.

Translate this phrase into an algebraic expression.

The difference of 3 times a number and 7

Use the variable n to represent the unknown number.

a)

3 - 7n

b)

3n - 7

c)

3n + 7

d)

3 / 7n

27.
Translate this phrase into an algebraic expression.
8 less than the product of 4 and a number
Use the variable m to represent the unknown number.
a)
4m + 8
b)
8m - 4
c)
8m + 4
d)
4m - 8
28.

Write a verbal expression for:

2a+6

a)

6 more than the product of 2 and a number

b)

6 less than the product of 2 and a number

c)

6 more than the quotient of 2 and a number

d)

twice a number plus 6

29.
Identify the constant in the expression
4y + 2 + x
a)
x
b)
y
c)
4y
d)
2
30.
How is the number 9 best described in the expression
9m + 3n + 4
a)
coefficient
b)
variable
c)
constant
d)
term
31.
A letter that represents a number is called a _____.
a)
variable
b)
coefficient
c)
constant
d)
term
32.
The number before a variable is the _____.
a)
term
b)
constant
c)
coefficient
d)
variable
33.
A number with no variable attached is called a  _____.
a)
coefficient
b)
constant
c)
variable
d)
term
34.
How many constants are in the following expression?
5b + 3 - 4k + 6
a)
3
b)
6
c)
2
d)
4
35.
k - 10 = 7
a)
-3
b)
3
c)
17
d)
- 17
36.
y + 8 = 20
a)
10
b)
11
c)
12
d)
13
37.
12x = 144
a)
x = 12
b)
x = 4
c)
x = 2
d)
x = 132
38.
4a + 3 = 15
a)
2
b)
4
c)
1
d)
3
39.
Which equation has x = 2 as a solution?
a)
3 + x = 10
b)
11 + x = 13
c)
4x = 32
d)
5x =25
40.

Solve for the given variable:

5k + 9 = 19

a)

k = 3

b)

k = -5

c)

k = 2

d)

k = 6

41.

What is the first step in the following equation?


2x - 5 = 13

a)

Subtract five from both sides

b)

Divide by two on both sides

c)

Add five to both sides

d)

Multiply by one-fifth on both sides

42.

What is the second step to the following equation?


3x + 12 = 60

a)

Subtract twelve from both sides

b)

Add twelve to both sides

c)

Multiply by three on both sides

d)

Divide by three on both sides

43.
6x-7=12
a)
5/6
b)
19/6
c)
2
d)
6/19
44.

Solve the following equation, x7=14\frac{x}{7}=14  

a)
x = 98
b)
x = 2
c)
x = 21
d)
x = 7

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