wayground logo

Free Printable Worksheets

Font size

S
M
L
XL
Worksheets

Linear Equation Review

Total questions: 65

Worksheet time: 1hrs 5mins

Name
Class
Date
1.

What is the equation of a line with a slope of 2 and a y-intercept of -5?

a)

y = 5x - 2

b)

y = 2x - 5

c)

y = -2x - 5

d)

y = 2x + 5

2.
What is the y-intercept in the equation?
y = 5x - 4
a)
5
b)
-4
c)
-5
d)
4
3.

Rewrite in slope intercept form x + y = 4

a)
y = x + 4
b)
y = -x + 4
c)
x = -y + 4
d)
x= y - 4
4.

Rewrite in slope intercept form

a)

y=-3x+1

b)

y=3x+1

c)

y=1/3x+1

d)

y=-1/3x-1

5.

Write the equation of the line in Slope Intercept Form

a)

y = -1/3x - 2

b)

y = 1/3x - 2

c)

y = 3x - 2

d)

y = -3x - 2

6.
Write the equation of the line.
a)
y= -1x-3
b)
y= -3x-1
c)
y=-1/3x-1
d)
y= -3x-3
7.

What type of slope does the following line have?

y = -x + 1

a)

positive

b)

negative

c)

zero

d)

undefined

8.

What type of slope does the following line have?

y = 3x - 5

a)

positive

b)

negative

c)

zero

d)

undefined

9.

What type of slope does the following line have?

y = -6

a)

positive

b)

negative

c)

zero

d)

undefined

10.

What type of slope does the following line have?

x = -3

a)

positive

b)

negative

c)

zero

d)

undefined

11.

What type of slope does the following line have?

a)

positive

b)

negative

c)

zero

d)

undefined

12.

What type of slope does the following line have?

a)

positive

b)

negative

c)

zero

d)

undefined

13.

What type of slope does the following line have?

a)

positive

b)

negative

c)

zero

d)

undefined

14.

What type of slope does the following line have?

a)

positive

b)

negative

c)

zero

d)

undefined

15.

What is the rate of change?

a)

m = 3

b)

m = -3

c)

m = 1/3

d)

m = -1/3

16.

What is the formula for rate of change?

a)

y = mx + b

b)

ΔyΔx\frac{\Delta y}{\Delta x}  

17.

What is another word for rate of change?

a)

y - intercept

b)

slope

c)

equation of a line

d)

x - intercept

18.

Find the slope:

A(3, 10) B(5, 12)

a)

m = 1

b)

m = 2

c)

m = 1/2

d)

m = -2

19.

Find the slope:

A(1, 6) B(4, 15)

a)

m = 3

b)

m = 9

c)

m = 1/3

d)

m = 1/9

20.

Write the equation of a line if:

m = -2 and b = 9

a)

y = 2x + 9

b)

 y = -2x + 9

c)

y = 9x - 2

d)

y = -2x - 9

21.

Write the equation of a line if:

slope = 5 and y -intercept = -1

a)

y = x - 5

b)

 y = -x + 5

c)

y = 5x - 1

d)

y = -5x + 1

22.

What is the formula for the equation of a line?

a)

y = mx + b

b)

ΔyΔx\frac{\Delta y}{\Delta x}  

23.
What does 'b" represent in y=mx=b
a)
y-intercept
b)
beans
c)
nothing
d)
slope
24.

Which statement best describes "m"?

a)

x- intercept

b)

y - intercept

c)

slope

d)

tasty

25.
What is the y-intercept of the line graphed below?
a)
3
b)
4
c)
-3
d)
4/3
26.
Find the slope from the table.
a)
-4
b)
1
c)
4
d)
-2
27.
Which is the graph of y= -x + 2?
a)
A
b)
B
c)
C
d)
D
28.

Which graph represents y=32x+4y=-\frac{3}{2}x+4  

a)
b)
c)
d)
29.
Find the slope of the line that passes through the points (2, 4) and (6, 12)
a)
1/2
b)
-1/2
c)
2
d)
-2
30.
Find the slope
a)
-5/3
b)
-3/5
c)
5/3
d)
3/5
31.
Slope is know as rise/
a)
run
b)
fall
c)
none
d)
rise
32.
What is the slope in the picture?
a)
Positive
b)
Negative
c)
Zero
d)
Undefined
33.
What is the slope in the picture?
a)
Positive
b)
Negative
c)
Zero
d)
Undefined
34.

Match the correct statement to the graph that matches. Remember "m" is slope and "b" is y-intercept!

a)

1.

Graph has negative m and a negative b.

b)

2.

Graph has positive m and a positive b.

c)

3.

Graph has positive m and a negative b.

d)

4.

Graph has negative m and a positive b.

35.

Label the graph with the correct equation. Drag the correct equation into the blue box.

36.

Label the graph with the correct equation. Drag the correct equation into the blue box.

37.
Identify the y-intercept for the function:
y=-3x
a)
-3
b)
0
c)
1
d)
-1
38.
Write in slope-intercept form:
-3x + 4y = 12
a)
y = 3/4x + 3
b)
y = -3/4 x + 3
c)
y = -4x + 3
d)
y = 4x + 3
39.
#4 Which graph is correct for y = -¾x + 1?
a)
A
b)
B
40.

Which graph represents the equation y=4x1y=4x-1  

a)
b)
c)
d)
41.

Which of the following equations may be used to generate the graph shown?

a)

y = 72x  2y\ =\ \frac{7}{2}x\ -\ 2  

b)

y = 72x + 2y\ =\ \frac{7}{2}x\ +\ 2  

c)

y = 15x  2y\ =\ \frac{1}{5}x\ -\ 2  

d)

y = 72x  2y\ =\ -\frac{7}{2}x\ -\ 2  

42.
Which of these lines has a slope of -3?
a)
A
b)
B
c)
C
d)
D
43.
The point where the line crosses the y-axis is called the:
a)
origin
b)
x-intercept
c)
y-intercept
d)
slope
44.
#7 Which graph is correct for y = x - 4?
a)
A
b)
B
45.

Label the lines correctly.

46.

Which is a linear equation?

a)

y=4x+2y=4x+2

b)

55

c)

mxmx

d)

4s4s

47.

Which is a linear equation?

a)

2x+3y2x+3y

b)

5x5x

c)

3x+243x+24

d)

y=2x10y=2x-10

48.
a)
Function
b)
Not a Function
49.
If f(x)=3x-9, find f(5).
a)
f(5) = 6
b)
f(5) = 16
c)
f(5) = -4
d)
f(5) = 24
50.
If f(x)=2x+25, find f(5).
a)
f(5) = 60
b)
f(5) = 40
c)
f(5) = -15
d)
f(5) = 35
51.
All of the x values or inputs are called what?
a)
Domain
b)
Range
c)
Relation
d)
Function
52.
All of the y values or outputs are called what?
a)
Domain
b)
Range
c)
Relation
d)
Function
53.
Which graph is linear?
a)
Graph A
b)
Graph B
c)
Graph C
d)
Graph D
54.

Which of the following is a function?

a)
b)
c)
d)
55.

Which is a function?

a)

A

b)

B

c)

C

d)

D

56.

Which is a function?

a)

W

b)

X

c)

Y

d)

Z

57.

Which of the following is a function?

a)
b)
c)
d)
58.

Which of these relations is a function?

a)
b)
c)
d)
59.
Does this mapping diagram represent a function?
a)
No, because there are repeating input values
b)
Yes, because there are no repeating input values
60.
a)
Function
b)
Not a Function
61.

Which has the greatest rate of change?

a)

A

b)

B

62.

Which has the greater rate of change?

a)

A

b)

B

63.

Which has the greater rate of change?

a)

A

b)

B

64.

Which has the greater y-intercept?

a)

A

b)

B

65.

Which has the greater rate of change?

a)

A

b)

B

c)

They're the same!