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Linear Functions and Relations Quiz Review

Total questions: 65

Worksheet time: 2hrs 6mins

Name
Class
Date
1.
Is this relation a function?
a)
True
b)
False
2.
Does this table represent a function?
a)
Function
b)
Not a Function
3.
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.
4.
What is the slope in the equation y=2x + 3?
a)
2
b)
3
c)
5
d)
Cannot be Determined 
5.

Which graph represents the graph of a linear function?

a)

A

b)

B

c)

C

d)

D

6.

What does 'b" represent in y=mx=b

a)

Y-intercept

b)

The Book of Life

c)

Alphabet letter

d)

Slope

7.
Is this function linear or nonlinear?
a)
Linear
b)
Nonlinear
8.

The graph of a relation is shown at the right. Is this relation a function?

a)

Yes

b)

No

c)

Cannot be determined from a graph

9.

What is the domain?

a)

[-2, 3]

b)

[-2, 3)

c)

(-2, 3]

d)

[-3, 4]

e)

(-3, 4]

10.

What is the range?

a)

[-3, 4]

b)

(-3, 4)

c)

(-3, 4]

d)

(-2, 3]

e)

[4, -3]

11.

What is the domain?

a)

(, 3]\left(-\infty,\ -3\right]

b)

[3, )\left[3,\ -\infty\right)

c)

(,3]\left(-\infty,3\right]

d)

(,)\left(-\infty,\infty\right)

e)

None of the answer choices

12.

What is the range?

a)

(, 3]\left(-\infty,\ -3\right]

b)

[3, )\left[3,\ -\infty\right)

c)

(,3]\left(-\infty,3\right]

d)

None of the answer choices

e)

 [3, )\left[-3,\ \infty\right)  

13.

What is the domain?

a)

(,2]\left(\infty,-2\right]

b)

[2, )\left[-2,\ \infty\right)


c)

[-2,3]

d)

(, 2]\left(-\infty,\ -2\right]

e)

None of the answer choices

14.
What is the range of the graph?
a)
(-∞,∞)
b)
[-1,0]
c)
[-1,3]
d)
[3,∞)
15.

What is the range?

a)


(0, )\left(0,\ \infty\right)

b)

[0, )\left[0,\ \infty\right)

c)

(, )\left(-\infty,\ \infty\right)

d)

None of the answer choices

16.
Evaluate f(-2) if f(x) = x+3
a)
-1
b)
1
c)
5
d)
-5
17.
Given 
f(x)= 2x2 + 5x - 17, find f(-1). 
a)
f(-1) = -20
b)
f(-1) = -24
18.

Given f(x) = -4x - 10 and f(x) = 10. Find x

a)

x = -5

b)

x = 5

c)

x = -50

d)

x = 30

19.
Is the function Linear or Nonlinear?
a)
Linear
b)
Nonlinear
20.
a)
A
b)
B
c)
C
d)
D
21.
a)
A
b)
B
c)
C
d)
D
22.
Is this function linear or non linear?
a)
Linear
b)
Non Linear
23.
Is this function linear or non linear?
a)
Linear
b)
Non Linear
24.
Linear functions cannot have __________.
a)
An x nor a y
b)
x + y
c)
x - y
d)
xy
25.
What does "m" represent in y=mx+b?
a)
y-intercept
b)
slope
c)
macaroni
d)
nothing
26.
What is the y intercept?
y = 2x - 3
a)
3
b)
-3
c)
1
d)
2
27.
Find the slope of the line.
a)
1/4
b)
-1/4
c)
-4
d)
4
28.
Find the slope of the line.
a)
-2
b)
2
c)
-1
d)
1
29.

Write the slope intercept form of the equation 3x - 2y = -16

a)

y = -3x - 8

b)

y = -3x + 8

c)

y = -3/2x - 8

d)

y = 3/2 x + 8

30.

Write the slope intercept form of the equation 6x + 5y = -15

a)

y = 6/5x - 3

b)

y = -6/5x - 3

c)

y = -6/5x + 3

d)

y = 6/5x + 3

31.

Write the slope intercept form of the equation 4x - y = 1

a)

y = -4x + 1

b)

y = 4x + 1

c)

y = 4x - 1

d)

y = -4x - 1

32.
What is the formula for standard form?
a)
y=mx+b
b)
y-y1=m(x-x1)
c)
Ax+By=C
d)
rise÷run
33.
Find the slope between the two given points: (-2,1) and (5,7)
a)
7/6
b)
2
c)
6/7
d)
-2
34.
When you have a vertical line, you have a slope that's _______
a)
Zero 
b)
Undefined 
c)
One
d)
Ten
35.

Is this equation in Standard Form: 3x - 4y = -6

a)

No, B cannot be negative

b)

Yes

c)

No, not all the numbers are integers

d)

No, not all the numbers are positive

36.

Which is the

formula for Point-slope?

a)

Ax + By = C

b)

y - y1 = m(x - x1)

c)

y = mx + b

37.

Write this equation in Standard Form: y = 3x + 9

a)

3x - y = 9

b)

-3x + y = 9

c)

3x - y = -9

d)

3x + y = -9

38.

What is a point on this line: y - 4 = 5(x + 1)

a)

(1,4)

b)

(-1,4)

c)

(5,1)

d)

(4,1)

39.

What is the slope of this line: y = 2x + 3

a)

m = 2

b)

m = 3

c)

m = 5

d)

m = 6

40.
Find the slope of the line that passes through
(10, 1) and (5, 2)
a)
1/5
b)
-1/5
c)
5
d)
-5
41.
Write the equation for the line in slope-intercept form.
a)
y= -1x+3
b)
y= 4x+3
c)
y=1/4x+3
d)
y= -4x+3
42.

Write the equation in Standard Form.

a)

-4= 3x-y

b)

3x-y=-4

c)

3x-y=-1

d)

3/4x-1/4y=-1

43.
Find the Slope
a)
No Slope
b)
3
c)
1/3
d)
Zero
44.
Find the Slope
a)
-2/1
b)
-1/2
c)
No Slope
d)
2/1
45.
Write y=mx+b form
slope is 9
y intercept is 2
a)
y=9x+2
b)
y=2x+9
c)
y=2x
d)
y=9
46.
What is point slope form of equation of line
point  ( 7, 10)    m=-2/7
a)
y-10=-2/7(x+7)
b)
y-10=-2/7(x-7)
c)
y+10= -2/7(x+10)
d)
y -10=-2/7x+2
47.
Find the equation of the line that passes through the points:
(-4, -2) and (-3, 5)
a)
y = 1/7 x + 26
b)
y = 7x + 26
c)
y = -7x + 26
d)
y = -7x - 26
48.
Find the equation of the line that passes through the points:

(2, 2) and (3, 4)
a)
y = 2x + 2
b)
y = -2x - 2
c)
y = -2x + 2
d)
y = 2x - 2
49.

Find the equation of the line that passes through the points:


(-2, 4) and (1, 10)

a)

y = 2x - 1

b)

y = -2x + 1

c)

y = 2x + 8

d)

y = -2x

50.
Are the equations parallel, perpendicular, or neither?
a)
Parallel
b)
Perpendicular
c)
Neither
51.
Are the equations parallel, perpendicular, or neither?
a)
Parallel
b)
Perpendicular
c)
Neither
52.
Are the equations parallel, perpendicular, or neither?
a)
Parallel
b)
Perpendicular
c)
Neither
53.

Convert the equation to slope-intercept form.

a)

y=-3x+1

b)

y=3x+1

c)

y=1/3x+1

d)

y=-1/3x-1

54.

Convert the equation to slope-intercept form.

a)

y=-x-9

b)

y=x-9

c)

y=-x+9

d)

y=x+9

55.

Convert the equation to slope-intercept form.

a)

y=-4x-12

b)

y=4x+12

c)

y=-4x+12

d)

y=-4x+3

56.

Convert the equation to slope-intercept form.

a)

y=x+2

b)

y=3x+6

c)

y=-x+2

d)

y=-3x-2

57.
Convert the standard form equation into slope-intercept form.
3x - 2y = 0
a)
y = (3/2)x
b)
y = -3x + 2
c)
x = 0
d)
y = 27, 239, 430
58.

 13=2xy + 4-13=2xy\ +\ 4  



Is this function linear or non-linear?

a)

linear

b)

non-linear

59.

 f(x)= 2x  6f\left(x\right)=\ \frac{2}{x}\ -\ 6  

a)

linear

b)

non-linear

60.
a)

8

b)

-24

c)

24

d)

-22

61.
a)

27

b)

21

c)

24

d)

72

62.
a)

21

b)

-21

c)

-3

d)

3

63.
a)
{1, 2, 3, 4, 5}
b)
{-1, 1, 2, 3}
c)
{1, 2, 3, 5}
d)
[1, 5]
64.
All of the y values or outputs are called what?
a)
Domain
b)
Range
c)
Relation
d)
Function
65.
What is the range of the graph?
a)
-15 < y < ∞
b)
(-∞, ∞)
c)
(-15, ∞)
d)
[-15, ∞)