wayground logo

Free Printable Worksheets

Font size

S
M
L
XL
Worksheets

CA 2 Review - Units 3-5

Total questions: 90

Worksheet time: 6hrs 38mins

Name
Class
Date
1.

Write the equation of a line PERPENDICULAR to the line y = 3x + 2 that passes through the point (9, -2)

a)

y = -1/3x - 5

b)

y = 3x-29

c)

y = 1/3x -5

d)

y = -1/3x +1

2.

Write the equation of the line PARALLEL to the line y = 4x - 9 that passes through the point (-2, 4)

a)

y = 4x + 12

b)

y = -4x -4

c)

y = -1/4x + 5/2

3.
y = 6x + 2
y = -6x + 2
These lines are...
a)
Parallel
b)
Perpendicular
c)
Neither
4.
y = 5/7x +2
y = 5/7x - 30
These lines are...
a)
Parallel
b)
Perpendicular
c)
Neither
5.
What slope is perpendicular to:  
m = 5/8
a)
-5/8
b)
5/8
c)
-8/5
d)
8/5
6.
Find the slope of the line.
a)
-5/4
b)
5/4
c)
-4/5
d)
4/5
7.
What type of slope?
a)
negative
b)
steep
c)
undefined
d)
zero slope
8.
What type of slope?
a)
undefined
b)
positive slope
c)
negative slope
d)
zero slope
9.
What is the slope in the picture?
a)
Positive
b)
Negative
c)
Zero
d)
Undefined
10.
Find the slope:
a)
3/4
b)
4/3
c)
-3/4
d)
-4/3
11.
Find the slope given the points (2, −7) and (−1, 6). 
a)
-13/3
b)
13/3
c)
0
d)
2/3
12.

Find the slope given the points (3,2) and (4,7).

a)

4

b)

5

c)

-5

d)

1/5

13.
Find the rate of change
a)
3
b)
-3
c)
-1/3
d)
1/3
14.
Determine the slope and y-intercept.   y = 3/2x + 3
a)
slope: 5   y-intercept:  (0,3) 
b)
slope: 3/2   y-intercept:  (0,3) 
c)
slope:  4  y-intercept:  (0,3/2)
d)
slope: 1/5   y-intercept:  (0,5) 
15.
Write the equation of the line.
a)
y=(3/5)x+1
b)
y=(3/5)x-1
c)
y=(5/3)x+1
d)
y=(3/5)x+1
16.
Write the equation for the line.
a)
y= -1x+3
b)
y= 4x+3
c)
y=(1/4)x+3
d)
y= -4x+3
17.
Write the equation in slope intercept form of a line that passes through the given  pair of points:  (-2, -3), (4, 3)
a)
y =x + 1
b)
y = x - 1
c)
y = -x + 1
d)
y = -x - 1
18.
Write the equation of the line.
a)
y = -1/3x - 2
b)
y = 1/3x - 2
c)
y = 3x - 2
d)
y = -3x - 2
19.

In slope-intercept form y = mx + b, which value represents the starting or initial value?

a)

y

b)

m

c)

x

d)

b

20.

What is the equation for the table above?

a)

y = -3x + 20

b)

y = 3x + 20

c)

y = -1/3x + 20

d)

y = 6x - 2

21.

At 10:00 pm, there was already 8.6 inches on the ground. If it is to snow 2 inches per hour after, what equation could be used to model the situation after x amount of hours.

a)

y = 2x + 8.6

b)

y = 2x - 8.6

c)

y = -2x + 8.6

d)

y = 1/2x + 8.6

22.

Stephanie owes her mom $80 for a recent trip to the mall. She plans to payback $15 a month until it is paid back. Write an equation in slope-intercept form that relates the amount she owes, y, to the amount of months, x.

a)

y = 15x - 80

b)

y = 15x + 80

c)

y = -15x + 80

d)

y = -15x - 80

23.

Jackson started with $800 in his savings account, but has to pay $30 a month for his electricity bill. Write an equation that relates his savings, y, to the amount of months, x.

a)

y = -30x + 800

b)

y = 30x - 800

c)

y = -30x

d)

y = 12x - 30

24.
In a direct variation, y=39 when x=3.  Find the value of y when x=2.
a)
26
b)
3
c)
58.5
d)
2
25.
 y varies directly with x, and y is 16 when x is 32. Which equation represents this situation?
a)
y=32x
b)
y=16x
c)
y=2x
d)
y=(1/2)x
26.
Trina's paycheck earnings varies directly as the number of hours she works. If she works 19 hours and earns $187.15, what should she earn if she worked 40 hours? 
a)
$394
b)
$440
c)
$472.80
d)
$512.20
27.
Is this a direct variation?
a)
yes
b)
no
28.
Is this a direct variation?
a)
yes
b)
no
29.
What ordered pair does a direct variation always go through when graphed?
a)
(0, 0)
b)
(1, 0)
c)
(0, 1)
d)
(1, 1)
30.
What is another name for k?
a)
y- intercept
b)
c)
slope
d)
x- intercept
31.
What does the Direct Variation Equation look like?
a)
Y= kx
b)
y = mx + b
c)
y = b
d)
y = x
32.

True/False: The point (1,0.5) means mix 0.5 quart of green paint with 1 quart of red paint.

a)

True

b)

False

33.

True/False: The point (1,0.5) means mix 0.5 quart of red paint with 1 quart of green paint.

a)

True

b)

False

34.

True/False: The point (2,1) means to mix 1 quart of green paint with 2 quarts of red paint.

a)

True

b)

False

35.

True/False: The point (4,2) means to mix 2 quarts of red paint with 4 quarts of green paint.

a)

True

b)

False

36.

True/False: The point (0,0) means that 0 blocks were walked in 0 minutes.

a)

True

b)

False

37.

What is the unit rate?

a)

10

b)

5

c)

1

d)

2

38.

True/False: The point (4 , 2) means that 4 cookies were purchased for $2.

a)

True

b)

False

39.
The steps in solving 5b - 6 = 24 are: 
a)
Add 6 to both sides and divide both sides by 5
b)
Add 6 to both sides and multiply both sides by 5
c)
Subtract 6 from both sides then multiply both sides by 5
d)
Subtract 6 from both sides then divide both sides by 5
40.
Solve for b:
 3(b - 4) = -3
a)
b = 3
b)
b = -3
c)
b = 5
d)
b = -5
41.
Solve for b:
-11 + 3(b + 5) = 7
a)
b = 1
b)
b = -1
c)
b = 3
d)
b = -3
42.

What is the first step to solve this equation:

- 3x -11 = 44

a)

Add 3 to both sides

b)

Subtract 11 from both sides

c)

Add 11 to both sides

d)

Divide 3 on both sides.

43.

What operation would you perform first and then second when solving for m in the following equation?

10 + 7m = 17

a)

subtract 10, divide by 7

b)

divide by 7, subtract 10

c)

multiply by 7, add 10

d)

add 10, multiply by 7

44.

Solve for a:

-3a + 8 = 14

a)

a = -2

b)

a = -7.5

c)

a = 2

d)

a = 6

45.

Solve for x:

2x - 3 = 1

a)

x = 3

b)

x = 2

c)

x = 1

d)

x = -2

46.

Solve for x:

2x - 3 + 4x = 27

a)

x = 12

b)

x = 4

c)

x = 5

d)

x = 15

47.

Solve for x:

7(2x - 4) = 42

a)

x = 5

b)

x = 8

c)

x = 2

d)

x = 9

48.

Solve for x:

2x -1(3+4x) = 11

a)

x = -4

b)

x = 7/3

c)

x = -7

d)

x = -17/8

49.

Solve for k:

38 + 7k = 8(k + 4)

a)

k = 6

b)

k = 8

c)

k = -6

d)

k = 1

50.

Solve for a:

-8(-4+a) + 3(2a+1) = -19

a)

a = 27

b)

a = -27

c)

a = 3.86

d)

a = 1.67

51.
3x-4(2+3x)=82
a)
no solution
b)
-10
c)
6
d)
18
52.
a)
4
b)
3
c)
-4
d)
-3
53.
2x+4+5x=13+4x
a)
-3
b)
9
c)
3
d)
1
54.
What is the range?
a)
{-3, -1, 2, 4}
b)
{0, 4, 7} 
c)
{0, 4, 4, 7}
d)
{7, 4, 0}
55.
What is the range of the following relation:
(9, -2) (4, 3)  ( 8, 10) ( -4, 8)
a)
{-4, 4, 8, 9}
b)
{-2, 3, 8, 10}
c)
{(9, -2) ( 4, 3)}
d)
{(8, 10) (-4, 8)}
56.
What is the Domain of this linear function?
a)
-3 < x ≤ 5
b)
x = -1
c)
5 < x ≤ -3
d)
-2 < x ≤ 6
57.
What is the range of the graph?
a)
1 ≤ x ≤ 5
b)
1 < x < 5
c)
1 ≤ y ≤ 5
d)
1 < y < 5
58.
Is the relation a function? Why.
a)
Yes, because the x-value 11 has two y-values pair with it.
b)
Yes, because each x-value has only one y-value paired with it.
c)
No, because the x-value 11 has two y-values pair with it.
d)
No, because each x-value has only one y-value paired with it.
59.
a)
{1, 2, 3, 4, 5}
b)
{-1, 1, 2, 3}
c)
{1, 2, 3, 5}
d)
[1, 5]
60.
For the function {(0,1), (1,-3), (2,-4), (-4,1)}, write the domain and range.
a)
D: {1, -3, -4,}
R: {0, 1, 2, -4}
b)
D: {-4, 0, 1, 2}
R:{-4, -3, 1}
c)
D: {0, 1, 2, 3, 4}
R:{1, -3, -4}
d)
D: {0, 1, 2, -4}
R: {1, -3, -4, 1}
61.
What is the range of the following relation:
(9, -2) (4, 3)  ( 8, 10) ( -4, 8)
a)
{-4, 4, 8, 9}
b)
{-2, 3, 8, 10}
c)
{(9, -2) ( 4, 3)}
d)
{(8, 10) (-4, 8)}
62.
Identify the domain of the following relation:
a)
{-6, 14, 2, 28}
b)
{(-6,14), (0,32), (2,38), (4,44)}
c)
{-6, 0, 2, 4}
d)
{14, 32, 38, 44}
63.
What is the range?
a)
{-3, -1, 2, 4}
b)
{0, 4, 7} 
c)
{0, 4, 4, 7}
d)
{7, 4, 0}
64.
What is the Domain of this linear function?
a)
-3 < x ≤ 5
b)
x = -1
c)
5 < x ≤ -3
d)
-2 < x ≤ 6
65.

What is the range?

a)

x≥0

b)

y≥0

c)

All real numbers

d)

{0, 1, 2, 3, 4,...}

66.
What is the domain of the function?
a)
x>3 
b)
x≥-3
c)
y≤4
d)
y<4
67.
What is the range?
a)
-7≤x≤6
b)
-7<x<6
c)
-8<y<2
d)
-8≤y≤2
68.
What is the range of the graph?
a)
-7 ≤ x < 5
b)
-3 ≤ x < 1
c)
-3 ≤ y < 1
d)
-7 ≤ y < 5
69.
a)
Function
b)
Not a Function
70.
Does the graph represent a function?
a)
Yes, because the vertical line test shows there are no repeating input values
b)
No, because the vertical line test shows there are repeating input values
71.
What is the range of the graph?
a)
1 ≤ x ≤ 5
b)
1 < x < 5
c)
1 ≤ y ≤ 5
d)
1 < y < 5
72.
a)
Function
b)
Not a Function
73.

What is the Domain?

a)

-3 < x ≤ 3

b)

-4 ≤ x < 5

c)

-4 ≤ y ≤ 5

d)

-3 < y ≤ 3

74.

What is the range?

a)

x≥0

b)

y≥0

c)

All real numbers

d)

{0, 1, 2, 3, 4,...}

75.

What is the Domain?

a)

-3 < x ≤ 3

b)

-4 ≤ x < 5

c)

-4 ≤ y ≤ 5

d)

-3 < y ≤ 3

76.

7x3=7x+57x-3=7x+5  

a)

No Solution

b)

Infinite Solutions

c)

x=2x=2  

d)

x=8x=8  

77.

5(2+x)=45+5x5\left(2+x\right)=45+5x  

a)

No Solution

b)

Infinite Solutions

c)

x=35x=35  

d)

x=55x=55  

78.

6x+5=8+4x+2x6x+5=8+4x+2x  

a)

No Solution

b)

Infinite Solutions

c)

x=3x=3  

d)

x=13x=13  

79.

3(45x)=215x3\left(4-5x\right)=-2-15x  

a)

No Solution

b)

Infinite Solutions

c)

x=14x=14  

d)

x=10x=10  

80.

7x3=3+7x7x-3=-3+7x  

a)

No Solution

b)

Infinite Solutions

c)

x=0x=0  

d)

x=6x=6  

81.

2(x2)=2x42\left(x-2\right)=2x-4  

a)

No Solution

b)

Infinite Solutions

c)

x=8x=8  

d)

x=8x=-8  

82.

2(5x2)=4+10x2\left(5x-2\right)=-4+10x  

a)

No Solution

b)

Infinite Solutions

c)

x=8x=-8  

d)

x=12x=12  

83.

2x+5=2x+5-2x+5=-2x+5  

a)

No Solution

b)

Infinite Solutions

c)

x=10x=10  

d)

x=20x=-20  

84.

2(x+11)=18-2\left(x+11\right)=-18  

a)

x=2x=-2  

b)

x=2x=2  

c)

No Solution

d)

Infinite Solutions

85.

36=4(20+x)36=4\left(20+x\right)  

a)

x=11x=-11  

b)

x=12x=12  

c)

No Solution

d)

Infinite Solutions

86.

24+20x=24+8x-24+20x=24+8x  

a)

x=4x=4  

b)

x=2x=-2  

c)

No Solution

d)

Infinite Solutions

87.

22x+7x=3-2-2x+7x=3  

a)

x=1x=1   

b)

x=5x=5  

c)

No Solution

d)

Infinite Solutions

88.

-1+2x =6x+11

a)

-3

b)

3

c)

5

d)

9

89.

5 - 6x = 17 - 8x

a)

6

b)

-6

c)

No Solution

d)

Infinite Solutions

90.

1 + 8x + 9 = -20 + 2x

a)

-5

b)

5

c)

No Solution

d)

Infinite Solutions