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Worksheets

SC Ready Review

Total questions: 126

Worksheet time: 8hrs 30mins

Name
Class
Date
1.
Which equation represents the following graph?
a)
y = 3x + 2
b)
y = -2x + 3
c)
y = 2x + 3
d)
y = -3x + 2
2.

What is the y-intercept in the equation?

y = 5x - 4

a)

(0,5)

b)

(0,-4)

c)

(-4,0)

d)

(5,0)

3.
Find the slope
a)
-5/3
b)
-3/5
c)
5/3
d)
3/5
4.

What is the y-intercept for the given graph?

a)

(0,-5)

b)

(0,5)

c)

(0,1)

d)

(0,-1)

5.
Find the slope of the line.
a)
1/2
b)
-1/2
c)
2
d)
-2
6.
Which is the graph of y=-x+2?
a)
A
b)
B
c)
C
d)
D
7.
What is the y-intercept?
a)
7
b)
0
c)
1
d)
2
8.
Find the value of y when x = 2.
a)
2
b)
6
c)
7
d)
8
9.
Find slope:
a)
m= 4
b)
m=1/4
c)
m=-4
d)
m=-1/4
10.
Find the slope between the two given points: (-2,1) and (5,7)
a)
7/6
b)
2
c)
6/7
d)
-2
11.
a)
Function
b)
Not a Function
12.
Which equation best represents the relationship between x and y in the table shown?
a)
y= 5x+5
b)
y=1/5x+5
c)
y=15x+5
d)
y=10x+5
13.
Which company shows a greater rate of change?
a)
Water's Edge Rafts
b)
Ryan's Rafts
14.
Which panda is growing faster?
a)
Mochi
b)
Kappa
c)
Po the dragon warrior
d)
Jack Black
15.
Jenny went to the sale at Kohl's last weekend.  
T-shirts were on sale for $15 each and hoodies were on sale for $20 each.  If she spent $150 total, write an equation to represent this situation.  
a)
20x + 15 = y 
b)
35x = y 
c)
15x + 20y = 150 
d)
150 - 20x = 15y 
16.
Determine the slope and y-intercept from the following equation:   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) 
17.
Find the slope from the table.
a)
-4
b)
1
c)
4
d)
-2
18.
Which equation represents the following graph?
a)
y = 3x + 2
b)
y = -2x + 3
c)
y = 2x + 3
d)
y = -3x + 2
19.
Find the slope
a)
-5/3
b)
-3/5
c)
5/3
d)
3/5
20.
Which is the graph of y=-x+2?
a)
A
b)
B
c)
C
d)
D
21.
What is the y-intercept?
a)
7
b)
0
c)
1
d)
2
22.
Find slope:
a)
m= 4
b)
m=1/4
c)
m=-4
d)
m=-1/4
23.
Find the slope between the two given points: (-2,1) and (5,7)
a)
7/6
b)
2
c)
6/7
d)
-2
24.
Which equation best represents the relationship between x and y in the table shown?
a)
y= 5x+5
b)
y=1/5x+5
c)
y=15x+5
d)
y=10x+5
25.
Which equation represents the line that passes through the point  (-3, -4) and has a slope of 0?
a)
y = 3x - 4
b)
y = -3
c)
y = -4
d)
x = -3
26.
Which answer choice is true?
a)
The table represents a linear function because there is a pattern for the x-coordinates and y-coordinates.
b)
The table represents a linear function because the ratio of the change in the y value and the change in the x value is constant.
c)
The table represents a nonlinear function because the ratio of the change in the y value and the change in the x value is not constant.
d)
The table does not represent a function because there is more than one output for at least one input.
27.

Is this function linear or nonlinear?

a)

Linear

b)

Nonlinear

28.

Is this graph a function?

a)

Function

b)

Not a Function

29.

Is the graph pictured a linear function?

a)

Yes

b)

No

30.

Is the graph pictured a linear or nonlinear function?

a)

Linear

b)

Nonlinear

31.

Is this function linear or nonlinear?

a)

Linear

b)

Nonlinear

32.

Is this function linear or nonlinear?

a)

linear function

b)

nonlinear function

33.

Why is this function linear?

a)

This is a linear function because it does not have a constant rate of change

b)

This is a linear function because it creates a curved line.

c)

This is a linear function because it have a constant rate of change.

d)

This is a linear function because it's y-intercept is (0,2)

34.

Is this function linear or nonlinear?

a)

Linear function

b)

Nonlinear function

35.

Which graph is linear?

a)

Graph A

b)

Graph B

c)

Graph C

d)

Graph D

36.

Is this function represented by the graph Linear or Nonlinear

a)

linear

b)

nonlinear

37.

Is the function represented by the equation linear or nonlinear?

a)

linear

b)

nonlinear

38.

Is the function represented by the table linear or nonlinear?

a)

Linear

b)

Nonlinear

39.

Is the function represented by the equation linear or nonlinear?

a)

linear

b)

nonlinear

40.

Is the function represented by the table linear or nonlinear?

a)

linear

b)

nonlinear

41.

Is the function represented by the graph linear or nonlinear

a)

linear

b)

nonlinear

42.
Which answer choice is true?
a)
The table represents a linear function because there is a pattern for the x-coordinates and y-coordinates.
b)
The table represents a linear function because the ratio of the change in the y value and the change in the x value is constant.
c)
The table represents a nonlinear function because the ratio of the change in the y value and the change in the x value is not constant.
d)
The table does not represent a function because there is more than one output for at least one input.
43.

Which equation represents y as a linear function of x?

a)

y=8x

b)

x=5

c)

y=4x2

d)

y=x3

44.

Which graph is linear?

a)

A

b)

B

c)

C

d)

D

45.

Which equations represents y as a linear function of x?

a)

y=x3

b)

y=9x

c)

x=5

d)

y=x

46.

Why is this function linear?

a)

This is a linear function because it does not have a constant rate of change

b)

This is a linear function because it creates a curved line.

c)

This is a linear function because it have a constant rate of change.

d)

This is a linear function because it's y-intercept is (0,2)

47.
Which of the function(s) above are linear?
a)
Function I, only
b)
Function II, only
c)
Function I and Function II, only
d)
Function I, Function II, and Function III
48.

Which table(s) are nonlinear?

a)

Table 2, only

b)

Tables 2 and 3, only

c)

Tables 1 and 2, only

d)

Tables 2 and 4, only

49.

Which equations describe a nonlinear function? Select all that apply.

a)

x - 3y=12

b)

y=x3

c)

3y=x

d)

y=5x2+6x

e)

4x+3y2=24

50.
Which equations represent linear functions?
a)
Equations 1 and 2, only
b)
Equations 1 and 4, only
c)
Equations 2 and 3, only
d)
Equations 1, 3, and 4, only
51.

Is the function represented by the table linear or nonlinear?

a)

Linear

b)

Nonlinear

52.

Is the function represented by the table linear or nonlinear?

a)

linear

b)

nonlinear

53.

Is the function y+x=4x−5y+x=4x-5  linear or nonlinear?

a)

Linear

b)

Nonlinear

54.

Is the function y=8x2y=\frac{8}{x^2}  linear or nonlinear?

a)

Linear

b)

Nonlinear

55.
Is the graph pictured a linear or nonlinear function?
a)
Linear
b)
Nonlinear
56.

What is the solution for x given the graph to the systems of equations

(a)  

57.

What is the solution to the systems of equations shown in the graph?

a)

1 Solution x=-1/2

b)

1 Solution y=-1/2

c)

Many Solutions

d)

No Solution

58.

What is the solution for y based on the system:

(a)  

59.

Find the answer using substitution: Please list your answer as a coordinate (x,y)

(a)  

60.

Find the answer to the systems using substitution: List the solution as a coordinate (x,y):

(a)  

61.

Solve the given systems of equations using elimination: Write you answer as a coordinate (x,y).

(a)  

62.

Find the answer to the systems using elimination: List the answer as a coordinate (x,y):

(a)  

63.

Solve the systems with any method you choose: Check all that apply:

a)

x= -5/2

b)

y=-5/2

c)

No Solutions

d)

Infinitely Many Solutions

e)

x=0

64.

Solve the systems with any method you choose: Check all that apply:

a)

x= -5/2

b)

y=-5/2

c)

No Solutions

d)

Infinitely Many Solutions

e)

x=0

65.

Here is an example of 2 lines being graphed. What answer choice matches the situation shown?

a)

The liness intersect

b)

The lines do not intersect

c)

The lines are on top of each others

66.

Here is an example of 2 lines being graphed. What answer choice matches the situation shown?

a)

The liness intersect

b)

The lines do not intersect

c)

The lines are on top of each others

67.

Here is an example of 2 lines being graphed. What answer choice matches the situation shown?

a)

The liness intersect

b)

The lines do not intersect

c)

The lines are on top of each others

68.

What is the point of intersection for the problem at the left, if any?

a)

(4,2)

b)

(-2,1)

c)

No Solution

d)

Infinite Solutions

69.

What is the point of intersection for the problem at the left, if any?

a)

(4,2)

b)

(-2,1)

c)

No Solution

d)

Infinite Solutions

70.

What is the point of intersection for the problem at the left, if any?

a)

(4,2)

b)

(-2,1)

c)

No Solution

d)

Infinite Solutions

71.

What is the point of intersection for the problem at the left, if any?

a)

(1,-4)

b)

(-1,-4)

c)

(-4,1)

d)

(-4,-1)

72.

What is the point of intersection for the problem at the left, if any?

a)

(1,-1)

b)

(-1,-1)

c)

(1,1)

d)

(-1,1)

73.

What is the point of intersection for the problem at the left, if any?

a)

(-3,0)

b)

(0,3)

c)

(3,0)

d)

(0,-3)

74.

Choose the graph or graphs that have one solution. Check the box or boxes that apply.

a)
b)
c)
d)
75.

Choose the graph or graphs that have INFINITE SOLUTIONS. Check the box or boxes that apply.

a)
b)
c)
d)
76.
If a system of equations has no solution, what does the graph look like? 
a)
intersecting lines
b)
parallel lines
c)
skew lines
d)
intersecting lines
77.
What is the solution?
a)
(1, -1)
b)
(-1, 1)
c)
(0, -2)
d)
(0, 1)
78.
If a system of linear equations has one solution, what does this mean about the two lines? 
a)
Parallel lines
b)
the same line 
c)
Intersecting lines
79.
Solve the system of equations.
y = 4x+1
3x + 2y = 13
a)
(1, 5)
b)
(5, 1)
c)
(0.25, 2)
d)
∅
80.
Solve the system of equations by elimination.
-x + y = -13
-8x - 4y = -8 
a)
(5, 8)
b)
(5, -8)
c)
(-5, -18)
d)
(-5, 8)
81.
Determine if (4, 1) is a solution for the system of equations.
y = -x + 5
y = 2x - 7
a)
yes
b)
no
82.
Solve for x and y.
y = 2/3x - 2
y = -x + 3
a)
(0,3)
b)
(0,-3)
c)
(3,0)
d)
(-3,0)
83.
What is the Solution to this system?
a)
(2,-2)
b)
(-2,2)
c)
All Real Numbers
d)
No Solution
84.
Solve the following system
x + 9y = 8
-6x - 9y = -3
a)
(1,-1)
b)
(1,1)
c)
(-1,1)
d)
(-1,-1)
85.
Find the slope
a)
-5/3
b)
-3/5
c)
5/3
d)
3/5
86.
Find the slope of the line that passes through:
(6,7) and (4,2)
a)
2/5
b)
-5/2
c)
5/2
d)
-1/2
87.

The slopes of parallel lines are...

a)

the same

b)

opposite

c)

always different

88.
Are these two lines parallel, perpendicular or neither?
y = -1/3x - 5
y = 1/3x + 2
a)
Parallel
b)
Perpendicular
c)
Neither
89.

Are these two lines parallel, perpendicular or neither?

y = -1/4 x - 5

y = 4x + 2

a)

Parallel

b)

Perpendicular

c)

Neither

90.

Write equation of a line in point slope form that passes through (3,8) and has a slope of 5?

a)

y-8=5(x-3)

b)

y=5x+8

c)

y-3=5(x-8)

d)

y-y1= m(x-x1)

91.

Write an equation in point slope form of equation of line

point (7,10) and has a slope of -2?

a)

y-10 = -2(x+7)

b)

y-10 = -2(x-7)

c)

y+10 = -2(x+10)

d)

y -10 = -2x+2

92.

What is the slope of the line that passes through the points (-4, -1) and (-2, -5)?

a)

1/2

b)

-1/2

c)

2

d)

-2

93.
5x - 4y = =-16
x+ 2y = -6
a)
(-4,-1)
b)
(5,-1)
c)
(-5,-1)
d)
(4,1)
94.
2x - 3y = 6
7x - 3y = -9
a)
(-3,-4)
b)
(3,4)
c)
(-4,-3)
d)
(4,3)
95.
x = - 3
2x + 3y = 6
a)
(4,3)
b)
(-4,3)
c)
(-3,4)
d)
(3,-4)
96.

I can combine 2 linear equations if the coefficients are not opposites.

a)

True

b)

False

97.

Solve by elimination:

3x+7y=23

-3x-7y=-17

a)

No solution

b)

ARN

c)

(-3,3)

d)

(3,3)

98.

Solve using elimination.

4x + 8y = 20

-4x + 2y = -30

a)

(-7,1)

b)

(2,-5)

c)

(-2,5)

d)

(7,-1)

99.

For the following equations, which coefficients would be easier to make opposites?


2x + 3y = 12

4x - 7y = - 54

a)

2x and 4x

b)

3y and -7y

100.

Let's multiply the top equation by -2. What would be our new equation?


2x + 3y = 12

4x - 7y = - 54

a)

4x - 6y = -24

b)

-4x - 6y = 12

c)

-4x - 6y = 24

d)

-4x - 6y = -24

101.

Now, our equations will look like this

-4x - 6y = -24

4x - 7y = - 54


Let's combine (add) these 2 equations to ELIMINATE the x variable. What would our combined equations be?

a)

-1y = 30

b)

13y = -30

c)

-1y = -78

d)

-13y = -78

102.

Let's solve for y.

-13y = -78

a)

y = 6

b)

y = 1

c)

y = 8

d)

y = 30

103.

Now, let's find the solution to the system.


2x + 3y = 12

4x - 7y = - 54

a)

(-3, 2)

b)

(-3, -2)

c)

(6, -3)

d)

(-3, 6)

104.

Your Turn:


Solve by elimination

2x + 9y = -7

6x - 3y = 9

a)

(-1, -1)

b)

(2,-1)

c)

(1,1)

d)

(1,-1)

105.
What is the solution? 
a)
1
b)
-2
c)
(1, 2)
d)
(1, -1)
106.

Solve the following systems of equations using substitution:


y = 8

y = -4x + 4

a)

(8, -1)

b)

(-28, 8)

c)

(-1, 8)

d)

(8, -28)

107.

Solve the following systems of equations using substitution:


x = 6

y = 2x - 3

a)

(6, 6)

b)

(6, 9)

c)

(9, 6)

d)

(9, 9)

108.

How many solutions does the graph have?

a)

One solution

b)

No solution

c)

Infinite solutions

109.

Solve the following systems of equations using substitution:


y = 3 - x

3y + x = 5

a)

No solution

b)

(1, 2)

c)

(3, 0)

d)

(2, 1)

110.
Solve:
y=8x+1
y=6x+3
a)
(1, 9)
b)
(4, 14)
c)
(0, 1)
d)
(2, 4)
111.
The first step in solving using the substitution method is __________.
a)
get x by itself
b)
get y by itself
c)
get either variable by itself
d)
add the equations together
112.
The solution (x, y) to a system of equations is the point where they...? 
a)
Run off the graph
b)
Don't touch
c)
Intersect
d)
Exist
113.

Which is the best method to use?


y = 6x − 11

−2x − 3y = −7

a)

Graphing

b)

Substitution because a variable is isolated.

c)

Elimination because both equations are in standard form.

114.

Solve the following systems of equations using substitution:


2y + x = -15

x = 3y

a)

(-3, -9)

b)

(-9, -3)

c)

(-3, 9)

d)

(9, -3)

115.
Solve:
y = -1x - 5
4x - 8y = 4
a)
(-3, -2)
b)
(5, -7)
c)
(3, 9)
d)
(-5, 4)
116.
Solve:
y = 7x + 9
2y + 2x = -18
a)
(5, 0)
b)
(9, 18)
c)
(-2, -5)
d)
(1, 16)
117.
What is the solution to this system?
x= 7 - 2y
2x + y = 5
a)
(-1,4)
b)
(4,-1)
c)
(1,3)
d)
(3,1)
118.
Solve:
x = -3y - 17
2x + 3y = -7
a)
(1, -20)
b)
(3, 0)
c)
(-5, -2)
d)
(10 , -9)
119.
Solve:
y=8x+1
y=6x+3
a)
(1, 9)
b)
(4, 14)
c)
(0, 1)
d)
(2, 4)
120.
Solve:
y = 4x - 10
y = 3x - 5
a)
(7 , -15)
b)
(1, -5)
c)
(5 , 10)
d)
(1, 2)
121.
What is the solution to this system?
y= 4x + 3
2x - 3y = 21
a)
(3,-9)
b)
(-3,-9)
c)
(-3,9)
d)
(0,1)
122.
What is the solution to this system?
y = x + 5
4x + y = 20
a)
(3,8)
b)
(8,3)
c)
(0,2)
d)
(2,0)
123.
What is the solution to this system?
y = 2x + 1
y = 4x - 1
a)
(1,3)
b)
(-1,-3)
c)
(-1,3)
d)
(3,1)
124.
What is the solution to this system?
y = 4x + 1
3x + 2y = 13
a)
(1, 5)
b)
(5, 1)
c)
(0.25, 2)
d)
(-1,5)
125.
What is the solution to the system of equations? 
y = 3x - 8
y = 4 - x
a)
(3,1)
b)
(1,3)
c)
(-3,1)
d)
(3,-1)
126.
What is the solution to the system?
2x - 2y = 2
y = -5x + 14
a)
(4, 5)
b)
(2.5, 1.5)
c)
(1.5, 5)
d)
(1, 2.25)

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