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Worksheets

Topic 1 Exam Review

Total questions: 220

Worksheet time: 7hrs 49mins

Name
Class
Date
1.

What is the maximum height?

a)

200

b)

50

c)

3

d)

0

2.

When is the maximum height reached?

a)

200

b)

50

c)

3

d)

0

3.

At what time is the ball 128 feet off the ground? Select all that apply.

a)

1

b)

2

c)

3

d)

4

e)

5

4.

How long is the ball's height decreasing?

a)

2 seconds

b)

5 seconds

c)

6 seconds

d)

3 seconds

5.

What is the minimum of the blue function?

a)

y = -2

b)

y = 1

c)

y = -4

d)

y = 0

6.

What is the minimum of the red function?

a)

y = -1.75

b)

y = 1

c)

y = 1.5

d)

y = 0

7.

Which comparison is correct?

a)

The blue graph has a smaller minimum than the red graph.

b)

The red graph has a smaller minimum than the blue graph.

c)

The red and blue graph have the same minimum value.

d)

The red graph has a larger maximum than the blue graph.

8.

Which comparison is correct?

a)

The blue graph has a smaller y-intercept than the red graph.

b)

The red graph has a smaller x-intercept than the blue graph.

c)

The red and blue graph have the same y-intercept.

d)

The red graph doesn't have a y-intercept and the blue graph does.

9.

What is the y-intercept of the red graph?

a)

(0, 1)

b)

(1, 0)

c)

(2.5, 0)

d)

(0.5, 0)

10.

What is the y-intercept of the blue graph?

a)

(0, 0)

b)

(-2, 0)

c)

(0, 2)

d)

(2, 0)

11.

What is the range of the graph?

a)

[-7, 5)

b)

(-3, 1]

c)

[-3, 1)

d)

(-7, 5]

12.

What is the domain?

a)

[-2, 3]

b)

[-2, 3)

c)

(-2, 3]

d)

[-3, 4]

e)

(-3, 4]

13.

What is the range?

a)

[-3, 4]

b)

(-3, 4)

c)

(-3, 4]

d)

(-2, 3]

e)

[4, -3]

14.

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

15.

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)  

16.

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

17.
What is the range of the graph?
a)
(-∞,∞)
b)
[-1,0]
c)
[-1,3]
d)
[3,∞)
18.
What is the domain of the function?
a)
(3, ∞)
b)
[-3, ∞)
c)
(-∞, 4]
d)
(-∞, 4)
19.
What is the domain?
a)
(-3 , 3)
b)
[-4, 5]
c)
(-4, 5)
d)
(-3, 3]
20.
What is the range?
a)
(-3, 3)
b)
[-4, 5)
c)
[-4 , 5]
d)
(-3 , 3]
21.
What is the domain of the graph?
a)
[1,∞)
b)
(-∞,1]
c)
(-∞,∞)
d)
[-∞,∞]
22.
What is the range of the graph?
a)
[1, ∞)
b)
(1, ∞)
c)
(-∞, ∞)
d)
none of these
23.
What is the domain of the graph?
a)
[ -∞, ∞]
b)
(-∞,∞)
c)
[-3 , 3]
d)
[-15, 9]
24.

What is the range of the graph?

a)

[-15, 9]

b)

(-∞, ∞)

c)

(-15, ∞)

d)

[-15, ∞)

25.

The set of all y-values used to graph a function are called the ____.

a)

Domain

b)

Range

c)

Relation

d)

Function

26.
What is the range of the graph?
a)
(-∞,∞)
b)
[0,∞)
c)
(0,5)
d)
[-1,∞)
27.

In interval notation, positive and negative ∞ are always closed in by ______.

a)

( ) Parentheses

b)

[ ] Square Brackets

c)

{ } Curly Brackets

28.

DOMAIN is found by reading the ends of a graph from ___ to ___.

a)

Right to left

b)

Left to right

c)

Bottom to top

d)

Top to bottom

29.

RANGE is found by reading the ends of a graph from ___ to ___.

a)

Right to left

b)

Left to right

c)

Bottom to top

d)

Top to bottom

30.

The set of all x-values used to graph a function are called the ____.

a)

Domain

b)

Range

c)

Relation

d)

Function

31.

Is the function positive or negative from a to b?

a)

Positive

b)

Negative

32.

Is the function positive or negative from c to d?

a)

Positive

b)

Negative

33.

Is the function positive or negative from d to e?

a)

Positive

b)

Negative

34.

Is the function positive or negative from -\infty to a?

a)

Positive

b)

Negative

35.

Is the function positive or negative from b to c?

a)

Positive

b)

Negative

36.

Is the function positive or negative from g to \infty ?

a)

Positive

b)

Negative

37.

Is the function increasing or decreasing on the interval from e to \infty

a)

Increasing

b)

Decreasing

38.

Is the function increasing or decreasing on the interval from c to d? 

a)

Increasing

b)

Decreasing

39.

Is the function increasing or decreasing on the interval from -\infty to a? 

a)

Increasing

b)

Decreasing

40.

Is the function increasing or decreasing on the interval from b to c? 

a)

Increasing

b)

Decreasing

41.

Is the function increasing or decreasing on the interval from d to e? 

a)

Increasing

b)

Decreasing

42.
a)

It is positive and increasing

b)

It is positive and decreasing

c)

It is negative and increasing

d)

It is negative and decreasing.

43.
a)

It is positive and increasing

b)

It is positive and decreasing

c)

It is negative and increasing

d)

It is negative and decreasing.

44.
a)

It is positive and increasing

b)

It is positive and decreasing

c)

It is negative and increasing

d)

It is negative and decreasing.

45.
a)

It is positive and increasing

b)

It is positive and decreasing

c)

It is negative and increasing

d)

It is negative and decreasing.

46.
a)

It is positive and increasing

b)

It is positive and decreasing

c)

It is negative and increasing

d)

It is negative and decreasing.

47.

The shaded area represents ___________?

a)

Decreasing Interval

b)

Increasing Interval

c)

Constant Interval

d)

Positive Interval

e)

Negative Interval

48.

The shaded area represents ___________?

a)

Decreasing Interval

b)

Increasing Interval

c)

Constant Interval

d)

Positive Interval

e)

Negative Interval

49.

The shaded area represents ___________?

a)

Decreasing Interval

b)

Increasing Interval

c)

Constant Interval

d)

Positive Interval

e)

Negative Interval

50.

The shaded area represents ___________?

a)

Decreasing Interval

b)

Increasing Interval

c)

Constant Interval

d)

Positive Interval

e)

Negative Interval

51.

The shaded area represents ___________?

a)

Decreasing Interval

b)

Increasing Interval

c)

Constant Interval

d)

Positive Interval

e)

Negative Interval

52.

The shaded area represents ___________?

a)

Decreasing Interval

b)

Increasing Interval

c)

Constant Interval

d)

Positive Interval

e)

Negative Interval

53.

The shaded area represents ___________?

a)

Decreasing Interval

b)

Increasing Interval

c)

Constant Interval

d)

Positive Interval

e)

Negative Interval

54.

The shaded area represents ___________?

a)

Decreasing Interval

b)

Increasing Interval

c)

Constant Interval

d)

Positive Interval

e)

Negative Interval

55.

The shaded area represents ___________?

a)

Decreasing Interval

b)

Increasing Interval

c)

Constant Interval

d)

Positive Interval

e)

Negative Interval

56.

The shaded area represents ___________?

a)

Decreasing Interval

b)

Increasing Interval

c)

Constant Interval

d)

Positive Interval

e)

Negative Interval

57.

The shaded area represents ___________?

a)

Decreasing Interval

b)

Increasing Interval

c)

Constant Interval

d)

Positive Interval

e)

Negative Interval

58.

The shaded area represents ___________?

a)

Decreasing Interval

b)

Increasing Interval

c)

Constant Interval

d)

Positive Interval

e)

Negative Interval

59.

The shaded area represents ___________?

a)

Decreasing Interval

b)

Increasing Interval

c)

Constant Interval

d)

Positive Interval

e)

Negative Interval

60.

The shaded area represents ___________?

a)

Decreasing Interval

b)

Increasing Interval

c)

Constant Interval

d)

Positive Interval

e)

Negative Interval

61.

The shaded area represents ___________?

a)

Decreasing Interval

b)

Increasing Interval

c)

Constant Interval

d)

Positive Interval

e)

Negative Interval

62.

The shaded area represents ___________?

a)

Decreasing Interval

b)

Increasing Interval

c)

Constant Interval

d)

Positive Interval

e)

Negative Interval

63.
Which of the following intervals has the largest average rate of change?
a)
[13,14]
b)
[13, 17]
c)
[16, 17]
d)
[16, 19]
64.
What was the average rate of change in the population from 1900 to 1990?
a)
175 million people/year
b)
1.94 million people/year
c)
2.13 million people/year
d)
-1 million people/year
65.
Find the average rate of change over the given interval. 
a)
4
b)
7
c)
7/3
d)
3/7
66.
What is the average rate of change of [1, 5]?
a)
-0.65
b)
-0.75
c)
3.75
d)
4
67.

What is the slope?

a)

7

b)

4

c)

3

d)

0

68.

What is the slope?

a)

2

b)

-2

c)

6

d)

0

69.
Which parent function matches the graph?
a)
y = |x|
b)
y = ∛(x)
c)
y = x2
d)
y = a⋅bx
70.

This is a _______________ function.

a)

Linear

b)

Exponential

c)

Quadratic

71.

Name the parent function.

a)

quadratic

b)

cubic

c)

square root

d)

logarithmic

72.
What type of function is shown?
a)
linear
b)
quadratic
c)
square root
d)
absolute value
73.

Which is the set of all y-values or the outputs?

a)

Domain

b)

Range

c)

Relation

d)

Function

74.

Describe the transformation

f(x)+3f\left(x\right)+3  

a)

3 Units Up

b)

3 Units Down

c)

3 Units Left

d)

3 Units Right

75.

Describe the transformation

f(x2)f\left(x-2\right)  

a)

2 Units Up

b)

2 Units Down

c)

2 Units Left

d)

2 Units Right

76.

Describe the transformation

f(x+5)f\left(x+5\right)  

a)

5 Units Up

b)

5 Units Down

c)

5 Units Left

d)

5 Units Right

77.

Describe the transformation

f(x)6f\left(x\right)-6  

a)

6 Units Up

b)

6 Units Down

c)

6 Units Left

d)

6 Units Right

78.

Describe the transformation

f(x)6f\left(x\right)-6  

a)

6 Units Up

b)

6 Units Down

c)

6 Units Left

d)

6 Units Right

79.

Describe the transformations

g(x+4)6g\left(x+4\right)-6  

a)

4 Units Left

6 Units Up

b)

4 Units Left

6 Units Down

c)

4 Units Right

6 Units Up

d)

4 Units Right

6 Units Down

80.

Describe the transformations

g(x)+2-g\left(x\right)+2  

a)

Reflected across the x-axis

2 Units Up

b)

Reflected across the x-axis

2 Units Down

c)

Reflected across the y-axis

2 Units Up

d)

Reflected across the y-axis

2 Units Down

81.

Describe the transformation

3h(x)3h\left(x\right)  

a)

Vertically Stretched by a factor of 3

b)

Vertically Compressed by a factor of 3

c)

Horizontally Stretched by a factor of 3

d)

Horizontally Stretched by a factor of 3

82.

Describe the transformations

g(x)4g\left(-x\right)-4  

a)

Reflected across the x-axis

4 Units Left

b)

Reflected across the x-axis

4 Units Down

c)

Reflected across the y-axis

4 Units Left

d)

Reflected across the y-axis

4 Units Down

83.
Which equation describes the transformation of shifting f(x)=x2 two units right?
a)
x2 + 2
b)
x2 - 2
c)
(x + 2)2
d)
(x - 2)2
84.
Describe the transformations that maps
y = g(x) to y = - g(x + 6) - 10
a)
Reflect over y-axis
Shifted down 10 units
Shifted left 6 units
b)
Reflect over x-axis
Shifted up 10 units
Shifted left 6 units
c)
Reflect over y-axis
Shifted up 10 units
Shifted right 6 units
d)
Reflect over x-axis
Shifted down 10 units
Shifted left 6 units
85.
Given f(x) = (x-3)2 + 5.  What transformations took place from the original function f(x)?
a)
Left 3 and up 5
b)
Right 3 and down 5
c)
Left 3 and down 5
d)
Right 3 and up 5
86.

If the blue is f(x)=x2, then the red must be
a)
g(x)=x2-5
b)
g(x)=x2+5
c)
g(x)=(x-5)2
d)
g(x)=(x+5)2
87.
What do we call the highest or lowest point of a quadratic?
a)
parabola
b)
vertex
c)
graph
d)
point
88.
If the blue graph is f(x) (the original function) and the red graph is the transformation, what is the equation of the red graph?
a)
-f(x)
b)
f(-x)
c)
f-1(x)
d)
f(2x)
89.
The vertex of the quadratic function f(x) in the picture is (-4, 5). If g(x) = f(x + 2) , what is the vertex of g(x)?
a)
(-2, 5)
b)
(-6, 5)
c)
(-4, 3)
d)
(-4, 7)
90.

What is another word for translation?

a)

Slide

b)

Turn

c)

Shrink

d)

Flip

91.

What is another word for rotate?

a)

Turn

b)

Flip

c)

Slide

d)

Shrink

92.
Describe the transformation that is applied to the parent function. 
f(x) =  3 Ix+8I
a)
Stretches by 3, Shifts left 8
b)
Stretches by 3, Shifts right 8
c)
Stretches by 3, Shifts up 8
d)
Stretches by 3, Shifts down 8
93.
What is the equation to this graph?
a)
f(x)= Ix+2I +1
b)
f(x)= Ix-2I +1
c)
f(x)= Ix+2I -1
d)
f(x)= Ix-2I -1
94.
Describe the transformation
a)
left 2 up 5
b)
right 2 up 5
c)
left 2 down 5
d)
right 2 down 5
95.
Describe the transformation that is applied to the parent function. 
f(x) = IxI -5
a)
Shifts left 5
b)
Shifts right 5
c)
Shifts up 5
d)
Shifts down 5
96.
Tell how the graph transformed.
y = (x - 3)2
a)
Translated right 3
b)
Translated left 3
c)
Translated up 3
d)
Translated down 9
97.
What shifts have occurred?
a)
left 1, up 5
b)
left 1, down 5
c)
right 1, down 5
d)
right 1, up 5
98.
Which equation below is a quadratic function translated left 4 units?
a)
y = x2 + 4
b)
y = (x + 4)2
c)
y = (x - 4)2
d)
y = 4x2
99.
Describe the transformation
a)
left 2 up 5
b)
right 2 up 5
c)
left 2 down 5
d)
right 2 down 5
100.

Given the function y=(x+4)2+2y=\left(x+4\right)^2+2  , what is the parent function?

a)

y=x2y=x^2  

b)

y=a(xh)2+ky=a\left(x-h\right)^2+k  

c)

y=mx+by=mx+b  

d)

y=0(x0)2+0y=0\left(x-0\right)^2+0  

101.

Write the equation that results if the parent absolute value function is shifted right 15 units, down 3 units, and reflected vertically.

a)

y=x153y=-\left|x-15\right|-3

b)

y=x+153y=-\left|x+15\right|-3

c)

y=12x+315y=\frac{1}{2}\left|x+3\right|-15

d)

y=12x315y=\frac{1}{2}\left|x-3\right|-15

e)

y=x153y=\left|-x-15\right|-3

102.

Describe the transformation of the equation below from the absolute value parent function
y=2x3+3y=-2\left|x-3\right|+3  

a)

reflected over x axis, stretched by 2, right 3, up 3

b)

reflected over x axis, stretched by 2, left 3 up 3.

c)

reflected over x axis, shrunk by 2, right 3, up 3

d)

reflected over the x axis, shrunk by 2, left 3, up 3

103.

What steps transform the graph  y=x2y=x^2   to  y=12(x4)2+1y=-\frac{1}{2}\left(x-4\right)^2+1 ?


a)

Compressed by 1/2, shifted 4 units right and 1 unit up

b)

Reflected across x-axis, compressed by 1/2, shifted 4 units right and 1 unit up

c)

Reflected across x-axis, stretched by 1/2, shifted 4 units left and 1 unit up

d)

Stretched by 1/2, shifted 4 units right and 1 unit down

104.
f(x) = 5x2 + 2
a)
Stretch of 5
Up 2
b)
Shrink of 5
Up 2
c)
Stretch of 5
Down 2
d)
Shrink of 5
Down 2
105.

If the blue is f(x)=x2, the red must be
a)
g(x)=(x+3)2
b)
g(x)=(x-3)2
c)
g(x)=x2+3
d)
g(x)=x2-2
106.
What are the following transformations?
- f(x+2)
a)
reflection over the y axis and 2 units to the right
b)
reflection over the x axis and 2 units right
c)
reflection over the y axis and 2 units left
d)
reflection over the x axis and 2 units left
107.
Which equation describes the transformation of shifting f(x)=x3 seven units up?
a)
x3+7
b)
x3-7
c)
(x-7)3
d)
(x+7)3
108.
Which equation describes the transformation of shifting f(x)=x3 four units down?
a)
x3+ 4
b)
x3- 4
c)
(x - 4)3
d)
(x + 4)3
109.
Which equation describes the transformation of shifting f(x)=x3 three units left?
a)
x3 + 3
b)
x3 - 3
c)
(x + 3)3
d)
(x - 3)3
110.
What is the equation of this graph?
a)
f(x) = (x + 2)2 - 3
b)
f(x) = (x - 2)2 - 3
c)
f(x) = |x + 2| - 3
d)
f(x) = |x - 2| - 3
111.
Which equation represents this graph.
a)
f(x)=∣3x∣
b)
f(x)=2∣x∣-3
c)
f(x)=∣x∣
d)
f(x)=3∣x∣-2
112.
Which equation below is a quadratic function translated up 5 units?
a)
y = x2 + 5
b)
y = (x + 5)2
c)
y = 5x2
d)
y = -x2 - 5
113.
Which equation below is a quadratic function translated left 4 units?
a)
y = x2 + 4
b)
y = (x + 4)2
c)
y = (x - 4)2
d)
y = 4x2
114.
Which equation is a quadratic function reflected over the x-axis and shifted up 2.
a)
y = x2 + 2
b)
y = -x2 + 2
c)
y = x2 - 2
d)
y = -(x + 2)2
115.
Describe the transformation
a)
left 2 up 5
b)
right 2 up 5
c)
left 2 down 5
d)
right 2 down 5
116.
Tell how the function transformed from y =|x|
y = -2|x|
a)
Translated left 2 units
b)
Reflected over x-axis
c)
Stretched vertically and reflected over x-axis
d)
Compressed vertically and reflected over the x-axis
117.
Describe the parent graph transformation
a)
stretch by 1/2, left 1, down 3
b)
stretch by 1/2, right 1, down 3
c)
compression by 1/2, left 1, down 3
d)
compression by 1/2, right 1, down 3
118.
Which equation is shown?
a)
y = (x-2)2
b)
y = (x+2)2
119.

If f(x) is the red graph and g(x) is the blue graph, what transformation changes f(x) to g(x)?

a)

translation

b)

rotation

c)

reflection

d)

vertical stretch

120.

Which function DOES NOT represent a horizontal shift of the function f(x)=x2

a)

g(x)= x2+3

b)

g(x)= (x+3)2

c)

g(x)= (x-3)2

d)

g(x) =(x-2)2

121.

What is the equation of this parent graph?

a)

y=xy=\left|x\right|  

b)

y=x2y=x^2  

c)

y=xy=x  

d)

y=x3y=x^3  

e)

y=bxy=b^x  

122.

If the parabola with the purple solid line is the parent, which parabola has a>1a>1  

a)

RED one with the

dashed line

b)

Not enough information to tell.

c)

BLUE on with the

dotted line

d)

The all have the same a.

123.

The parabola with the solid PURPLE line is the parent. Which parabola has a larger positive value for k?

a)

The RED one with the dashed line

b)

Not enough information to tell

c)

The BLUE one with the dotted line

d)

They have the same k value

124.

Find g(7)

a)
-17
b)
-13 
c)
13       
d)
17
125.
What is f(-2)?
a)
4
b)
1
c)
1
d)
DNE
126.

What is the domain interval for the green piece of this function?

a)

-2 < x ≤ 1

b)

-1 < x ≤ 0.5

c)

x > -2

d)

x ≤ 1

127.

Find f(0)

a)

0

b)

19

c)

9

d)

-19

128.

How many "pieces" are graphed in this function?

a)

1

b)

2

c)

3

d)

4

129.
Using the pictured graph, what is f(-3)? 
a)
-3
b)
-1
c)
1
d)
3
130.
What is the value of f(0)?
a)
-2
b)
2
c)
4
d)
0
131.
Find f(-2)
a)
-3
b)
6
c)
8
d)
-6
132.

Find f(0)

a)

-3

b)

18

c)

4

d)

0

133.

Match the graph with the correct equation.

a)
b)
c)
d)
134.

Match the graph with the correct equation.

a)
b)
c)
d)
135.

Find f(2)

a)

f(2) = 0

b)

f(2) = 1

c)

f(2) = 3

d)

f(2) = 4

136.

Graph the function

a)
b)
c)
d)
137.
What is the domain restriction of the blue piece of this function?
a)
x > 0
b)
x ≥ 0
c)
x > 2
d)
x ≥ 2
138.

What is f(4)?

a)
-5
b)
0
c)
3
d)
6
139.
What is f(-2)?
a)
4
b)
1
c)
1
d)
DNE
140.

What is the domain interval for the green piece of this function?

a)

-2 < x ≤ 1

b)

-1 < x ≤ 0.5

c)

x > -2

d)

x ≤ 1

141.

Evaluate f(0)

a)

0

b)

19

c)

9

d)

-19

142.
Using the pictured graph, what is f(-3)? 
a)
-3
b)
-1
c)
1
d)
3
143.

What is the domain interval for the green piece of this function?

a)

-2 < x ≤ 1

b)

-1 < x ≤ 0.5

c)

x > -2

d)

x ≤ 1

144.
1. What is this type of function called?
a)
Discrete Function 
b)
Segment Function
c)
Step Function
d)
Jump Function
145.

Graph

a)
b)
c)
d)
146.

Graph

a)
b)
c)
d)
147.

Graph

a)
b)
c)
d)
148.

Graph

a)
b)
c)
d)
149.

Graph

a)
b)
c)
d)
150.

Graph

a)
b)
c)
151.

Graph

a)
b)
c)
152.

Which of the piecewise functions matches this graph?

a)
b)
c)
d)
153.

Graph

a)
b)
c)
154.

Graph

a)
b)
c)
155.

Graph

a)
b)
c)
156.

Graph

a)
b)
c)
157.

Match the graph with the correct equation.

a)
b)
c)
d)
158.

Which of the piecewise functions matches this graph?

a)
b)
c)
d)
159.

Match the graph with the correct equation.

a)
b)
c)
d)
160.
Which piecewise function corresponds to this graph? (Take your time)
a)
b)
c)
d)
161.
Which piecewise function corresponds to this graph? (Take your time)
a)
f(x) = { x  if x < 4;   -x+1  if x ≥ 4
b)
f(x) = { x  if x ≤ 4;  -x+1  if x > 4
c)
f(x) = { -x+1  if x < 4;  x  if x ≥ 4
d)
f(x) = { -x+1  if x ≤ 4;  x if x > 4
162.
Which of the 3 piecewise equations is depicted by the graph? (Take your time)
a)
f(x)
b)
g(x)
c)
h(x)
163.
a)
A
b)
B
c)
C
d)
D
164.
Which graph matches:
4-x for x<2
2x-6 for x>=2
a)
A
b)
B
c)
C
d)
D
165.

Match the graph with the correct equation.

a)
b)
c)
d)
166.

What is the domain of the Green line?

a)

all real numbers

b)

x=-1

c)

x≤-3

d)

x<-3

167.

What is the domain to the blue line?

a)

-3<x<1

b)

-3≤x≤1

c)

all real numbers

d)

x≤-3, x≥1

168.

What is the domain of the last line segment?

a)

3<x≤5

b)

3≤x≤5

c)

-3≤x<-2

d)

3≤x<5

169.
What are the domain restrictions for the green piece of this function?
a)
-2 < x ≤ 1
b)
-1 < x ≤ 0.5
c)
x > -2
d)
x ≤ 1
170.

Match the graph with the correct equation.

a)
b)
c)
d)
171.
What are the domain restrictions for the middle piece of this function?
a)
x ≥ 1
b)
x ≥ 2
c)
2 ≤ x < 6
d)
1 ≤ x < 3
172.
Functions that are made up of distinct "pieces" of other functions based on different rules for the domain are called?
a)
Absolute Value Functions
b)
Piecewise Functions
c)
Exponential Functions
d)
Quadratic Functions
173.
What is the solution to the system?
a)
(0, 3)
b)
(1, -1)
c)
(-3, 1)
d)
(1, 3)
174.

Find the solution(s) of the following equation: (Round the solutions to the nearest tenth)
Select all that apply
x24=3x1x^2-4=3x-1  

a)

-0.8

b)

3.4

c)

3.8

d)

10.4

e)

No solutions

175.

Find the solution(s) of the following equation: (Round the solutions to the nearest tenth)
Select all that apply
x4=x5\left|x-4\right|=-x-5  

a)

3

b)

1

c)

4

d)

0

e)

No solutions

176.

Find the solution(s) of the following equation: (Round the solutions to the nearest tenth)
Select all that apply
5=x2+35=x^2+3  

a)

1.4

b)

-1.4

c)

5

d)

3

e)

No solutions

177.

Find the solution(s) of the following equation: (Round the solutions to the nearest tenth)
Select all that apply
x3=x2+4\left|x-3\right|=x^2+4  

a)

4

b)

0

c)

3

d)

5

e)

No solutions

178.
Will my line be solid?
5 ≥ x
a)
Yes
b)
No
179.
Is (-2,4) a solution to the system?
a)
Solution
b)
Not a solution
180.

Use a graph to solve the equation.

4x+6=8x104x+6=8x-10  

a)

0

b)

4

c)

-4

d)

1

181.

Use a graph to solve the equation.

34x2=12x+1-\frac{3}{4}x-2=-\frac{1}{2}x+1  

a)

0

b)

-12

c)

12

d)

5

182.

Use a graph to solve the equation. Select all that apply.

42x+5=9\left|4-2x\right|+5=9  

a)

0

b)

-4

c)

4

d)

5

183.

Use a graph to solve the inequality.

x2+4x5<0x^2+4x-5<0  

a)

5<x<1-5<x<1  

b)

5x1-5\le x\le1  

c)

5<x<15<x<-1  

d)

1>x>5-1>x>5  

184.

Use a graph to solve the inequality.

x2x120x^2-x-12\ge0  

a)

3<x<4-3<x<4  

b)

x3 or x4x\le-3\ or\ x\ge4  

c)

x>3 or x<4x>-3\ or\ x<4  

d)

x3 or x<4x\ge3\ or\ x<-4  

185.

Use a graph to solve the inequality.

2x+5<73x-2x+5<-7-3x  

a)

x<12x<-12  

b)

x12x\le-12  

c)

x>12x>-12  

d)

x12x\ge-12  

186.

Use graphing technology to approximate the solutions of the equation to the nearest tenth.

13x2+2x9=6+x2\frac{1}{3}x^2+2x-9=6+\left|x-2\right|  

a)

-12.9

b)

12.9

c)

-4.9

d)

4.9

187.

Use graphing technology to approximate the solutions of the equation to the nearest tenth.

x2+5x2=6+3x+1x^2+5x-2=6+\left|3x+1\right|  

a)

-8.8

b)

8.8

c)

-2.2

d)

2.2

188.

Use graphing technology to approximate the solutions of the equation to the nearest tenth.

3+x3=13x+2+53+\left|x-3\right|=\frac{1}{3}\left|x+2\right|+5  

a)

-0.3

b)

0.3

c)

-8.5

d)

8.5

189.

Solve the system of equations by graphing:

x+y=6x+y=6  

xy=2x-y=2  

Enter your answer as an ordered pair - (x,y)



(a)  

190.

Solve the system:

4x+3y=164x+3y=-16  

x+y=4-x+y=4  

Choose the TWO correct answers

a)

x=-4

b)

y=0

c)

y=-4

d)

x=0

e)

x=4

191.

Solve the system of equations. Write your answer as an ordered pair.

y=7xy=7-x  

x+3y=7x+3y=7  

(a)  

192.

Solve the inequality. Write your answer as an ordered pair.

2x4y=42x-4y=-4  

3xy=43x-y=4  

(a)  

193.

Solve the system of inequalities by graphing.

a)
b)
c)
d)
194.
Which point is a solution?
a)
(0, 6)
b)
(-3, 4)
c)
(1, 0)
d)
(-4, 3)
195.

Identify each choice below that is a solution for the graph

a)

(2, 3)

b)

(4, -2)

c)

(2, -4)

d)

(-2, 0)

196.

What is the solution to the system of equations? Write your answer as an ordered pair.

(a)  

197.
What is the solution to the system?
a)
(0, 3)
b)
(1, -1)
c)
(-3, 1)
d)
(1, 3)
198.
What is the solution?
a)
(6, 3)
b)
(3, 6)
c)
(-6, 3)
d)
No solution
199.



How many solutions?
a)
One Solution
b)
No solution
c)
Infinitely Many Solutions
200.
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
201.
Solve the following system by setting the two equations equal to each other.  What is the solution?
HINT:  - 1/3x + 4 = 2/3x + 1 and then solve for x.  Once you find x go back and find y.
a)
Infinite number of solutions
b)
(3, 3)
c)
(3, -3)
d)
(-3, 3)
202.
Which of the following is not a method to solve systems?
a)
Elimination
b)
Difference of Squares
c)
Substitution
d)
Graphing
203.
Solve for x and y
y = 2x + 1
y = 4x - 1
a)
(1,3)
b)
(-1,-3)
c)
(-1,3)
d)
(3,1)
204.
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
205.
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)
206.
Solve for x and y.
y = 2/3x - 2
y = -x + 3
a)
(0,3)
b)
(0,-3)
c)
(3,0)
d)
(-3,0)
207.
Solve for x and y
3x + 2y = 16
7x + y = 19
a)
(-2,5)
b)
(-2,-5)
c)
(2,-5)
d)
(2,5)
208.
Which point is a solution?
a)
(0, 6)
b)
(-3, 4)
c)
(1, 0)
d)
(-4, 3)
209.
Select the correct graph for each inequality.
a)
A
b)
B
c)
C
d)
D
210.
Is (0,0) a solution to the system?
a)
Solution
b)
Not a solution
211.
Is (-2,4) a solution to the system?
a)
Solution
b)
Not a solution
212.
Which of the following is not a solution to this system of inequalities?
a)
(0,-1)
b)
(0,3)
c)
(4,0)
d)
(6,-2)
213.
Which system of inequalities matches the graph?
a)
y > 2x - 4
y < 2
b)
y < 2x - 4
y < 2
c)
y > 2x - 4
<  2 
d)
y < 2x - 4
<   -2
214.
Which system of inequalities is shown?
a)
y ≥ -x - 1
y < x + 4
b)
y < -x - 1
 y ≥ x + 4
c)
y > -x - 1
y ≥ x + 4
d)
y > -x - 1
y ≥ x + 3
215.

1) Solve the system of linear equations.

a)

(-1, 5, 2)

b)

(1, -5, -2)

c)

no solution

d)

infinitely many solutions

216.

2) Solve the system of linear equations.

a)

(-1, 1, 2)

b)

(2, 1, -1)

c)

no solution

d)

infinitely many solutions

217.

3) Solve the system of linear equations.

a)

(3, 1, -5)

b)

(-3, 1, -1)

c)

no solution

d)

infinitely many solutions

218.

4) Solve the system of linear equations.

a)

(1, -3, -4)

b)

(-1, 3, -4)

c)

no solution

d)

infinitely many solutions

219.

7) Solve the system of linear equations.

a)

(3, -1, -4)

b)

(-3, 1, 4)

c)

no solution

d)

infinitely many solutions

220.

8) Solve the system of linear equations.

a)

(3, -1, 1)

b)

(-3, -1, -1)

c)

no solution

d)

infinitely many solutions