Wayground logo

Free Printable Worksheets

Font size

S
M
L
XL
Worksheets

Algebra I Chapter #05 Review (Linear Equations)

Total questions: 50

Worksheet time: 3hrs 33mins

Name
Class
Date
1.
Find the slope of the line.
a)
-2
b)
2
c)
-1
d)
1
2.
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
3.
Which statement below accurately represents the graph?
a)
$100 is earned for each hour worked
b)
$100 is earned for every 2 hours worked
c)
$500 is earned for every 8 hours worked
d)
$200 is earned for every 3 hours worked
4.
What type of slope does the graph have?
a)
Positive
b)
Negative
c)
Zero Slope
d)
Undefined
5.
What type of slope does the graph have?
a)
Zero
b)
Undefined
c)
Negative
d)
Positive
6.
What is the slope in the equation y=2x + 3?
a)
2
b)
3
c)
5
d)
Cannot be Determined 
7.

Which graph represents the equation:


y = 2x + 2

a)
b)
c)
d)
8.

Which graph represents the equation:


y = 1 + 1/2x

a)
b)
c)
d)
9.

Which graph represents the equation:


y = -4x + 4

a)
b)
c)
d)
10.

Which graph represents the equation:


y = - 2 - ⅔x

a)
b)
c)
d)
11.

Which graph represents the equation:


y = x + 2

a)
b)
c)
d)
12.
State the x-intercept:
a)
3
b)
-2
c)
0
d)
-2/3
13.
State the y-interecept
a)
3
b)
-2
c)
0
d)
1
14.
State the x-intercept: 12x + 2y = 24
a)
12
b)
6
c)
2
d)
4
15.

State the y-intercept:

3x + 7y = 21

a)

21

b)

2

c)

7

d)

3

16.

Jacob collects hats. He has 6 hats already, and he collects 2 hats a week. Write the equation of the given situation

a)

y = 2x + 6

b)

y = 6x + 2

c)

2x + 6y = 8

d)

y = 6x - 2

17.
At Joe's Clown Car Rental Agency, renting a car costs $35 plus $0.75 for every mile it is driven. 
a)
y = x(35 + 0.75)
b)
y = 35x + 0.75
c)
y = 0.75x + 35
d)
y = 0.75(x + 35)
18.
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 = 0.20x + 15
b)
C =15 (0.20x)
c)
C = 15 + x + 0.20
d)
C = 0.20 + 15x
19.

Sam ordered 4 tacos and 5 enchiladas for lunch at the restaurant. His bill came to $10.80. Which equation matches the given situation?

a)

4x + 3y = 8.10

b)

4x + 5y = 10.80

c)

4x - 5y = 10.80

d)

4x + 10.80y = 5

20.

Tickets to the theater cost $20 in advance and $25 at the door. Total ticket sales last night were $1,050. Which equation matches the given situation?

a)

20x + 25y = 1,050

b)

20x + 1,050y = 25

c)

20x - 25y = 1,050

d)

1,050x + 25y = 20

21.

Sam's piggy bank contains nickels and dimes. The total amount of money in his bank is $4.50. Which equation represents the given situation?

a)

5x + 10y = 4.50

b)

.05x + .10y = 4.50

c)

.50x + .10y = 4.50

d)

5x + 4.50y = 10

22.

Micheal sells hotdogs for $1.45 each and hamburgers for $3.25 a piece. One day he made $26.40. Which equation models the situation?

a)

1.45y - 3.25x = 26.40

b)

1.45( x + 3.25y) = 26.40

c)

1.45x + 3.25y = 26.40

d)

1.45x - 3.25y = 26.40

23.

Slopes of parallel lines are...

a)

opposite reciprocals.

b)

opposites.

c)

identical.

d)

reciprocals

24.

Slopes of perpendicular lines are...

a)

opposite reciprocals.

b)

opposites.

c)

identical.

d)

reciprocals

25.
y = 3x +2
y = 3x - 3
These lines are...
a)
Parallel
b)
Perpendicular
c)
Neither
d)
The same line
26.
y = -2/3x + 2
y = 3/2x + 9
These lines are...
a)
Parallel
b)
Perpendicular
c)
Neither
27.

What is the slope of a line parallel to the line whose equation is: y = -2x - 7?

a)

-2

b)

1/2

c)

-1/2

d)

2

28.

A line is perpendicular to y = 2x + 4

What is the slope of this line?

a)

-2

b)

1/2

c)

-1/2

d)

2

29.

Given the line y = -1/3x -3, write the equation of a line Perpendicular o it that passes through the point (4, -1)

a)

y = -3x - 3

b)

y = 3x - 13

c)

y = -3x +12

d)

y = -3x- 4

30.

Given the line y = 2x -3, write the equation of a line Parallel to it that passes through the point (2, -1)

a)

y = 2x - 5

b)

y = 1/2x + 6

c)

y = -2x + 5

d)

y = 2x + 3

31.
Write the equation below in standard form
y = 2/3 x +5
a)
-2/3x+y=5
b)
-4x+6y=15
c)
2x-3y=-15
d)
-2x+3y=15
32.
Write the equation in slope-intercept form:
-10x + 2y = 14
a)
y = 10x + 12
b)
y = 10x + 7
c)
y = 5x + 14
d)
y = 5x + 7
33.

What is the slope between the points

( 3 , 5 ) and ( 4 , 8 )

a)

-3

b)

3

c)

1/3

d)

-1/3

34.

Write the equation of the line if the slope is 4 and it goes through

the point ( 3 , 2 )

a)

y = 4x - 10

b)

y = 4x + 10

c)

y = 4x + 12

d)

y = 4x - 12

35.

write the equation of the line that has a slope of - 3 and goes through

the point ( 2 , - 5 )

a)

y = - 3x - 1

b)

y = - 3x -11

c)

y = - 3x + 1

d)

y = - 3x + 0

36.

write the equation of the line that is parallel to 6x + 3y = 12 and goes through the point ( 3 , 8 )

a)

y = - 2x + 14

b)

y = 2x + 14

c)

y = - 2x +19

d)

y = 2x - 13

37.

write the equation of the line that is perpendicular to y = - 2/3x + 3 and goes through the point ( 4 , 7 )

a)

y = 3/2 x - 1

b)

y = -2/3 x + 1

c)

y = 3/2 x + 1

d)

y = -2/3 x - 1

38.
What is the equation of this graph?
a)
y = 1/2x + 2
b)
y = -1/2x + 2
c)
y = 2
d)
y = 1/2x - 2
39.
Write the equation of the line.
a)
y=3/5x+1
b)
y=3/5x-1
c)
y=5/3x+1
d)
y=3/5x+1
40.
Give the y-interecept
3x + y = 5
a)
-3
b)
(0,5)
c)
-5
d)
(0, -3)
41.
Give the x-intercept
3x + 8y = 24
a)
(8, 0)
b)
(0, 8)
c)
(3, 0)
d)
(0, 3)
42.

Graph

a)
b)
c)
d)
43.

Graph

a)
b)
c)
d)
44.

Find the y intercept of the equation:


6x + ⅓y = 12

a)

4

b)

2

c)

36

d)

18

45.

Find the x-intercept for the equation:


y = 4x + 8

a)

4

b)

8

c)

-2

d)

32

46.

Write the equation of a line with a slope of -3 and through the point (1, 5)

a)

y=-3x+5

b)

y=x+5

c)

y=-3x+16

d)

y=-3x+8

47.
Write the equation of the line through the points (-6, -19) and (2, 5).
a)
y = -7/2x + 12
b)
y = 3x + 11
c)
y = -7/2x - 40
d)
y = 3x - 1
48.
Write the equation of the line with slope 3/5 through the point (20, 6).
a)
y = 3/5x - 6
b)
y = 3/5x +18
c)
y = 3/5x - 18
d)
y = 3/5x +6
49.
Write the equation of the line through the points (4, 5) and (12, 9).
a)
y = 2x - 3
b)
y = 1/2x + 3
c)
y = 1/2x +7
d)
y = 2x - 15
50.

Write the equation below in slope intercept form:


y + 4 = 3(x - 1)

a)

y = 3x + 1

b)

y = 3x + 4

c)

y = 3x + 3

d)

y = -x + 6