Free Printable ALGEBRA IM UNIT 4 MIDTERM REVIEW

1.

What is the range of the of the graph?

a)

-5 < x < 0

b)

-1 < y < 4

c)

-1 < x < 4

d)

$-1\le y\le4$

2.

What is the domain of the graph?

a)

$-5<x\le2$

b)

$-5\le x<2$

c)

$-3<y\le0$

d)

$2\le x<-5$

3.

What is the range of the graph?

a)

All real numbers

b)

$-5<x\le2$

c)

$0\le y<-3$

d)

$-3<y\le0$

4.

What is the range of the graph?

a)

$-4<x<4$

b)

$-4<y\le-2$

c)

$-4\le x\le4$

d)

$-2\le y<-4$

5.

What is the domain of the graph?

a)

$-1<x\le4$

b)

$-5<y\le5$

c)

$-1\le x<4$

d)

All real numbers

6.

What is the domain of the graph?

a)

-4 < x < 4

b)

-4 < x < -2

c)

-4 < y < 4

d)

-4 < y < -2

7.

What is the range of the graph?

a)

$-14\le y\le-2$

b)

$1\le x\le7$

c)

$1<x<7$

d)

$-14<y<-2$

8.

a)

$Domain:\ -15<x<-6$ $Range:\ -16<y<4$

b)

$Domain:\ -15\le x\le-6$ $Range:\ -16\le y\le4$

c)

$Domain:\ -16<x<4$ $Range:\ -15<y<-6$

d)

$Domain:\ All\ real\ numbers$ $Range:\ All\ real\ numbers$

9.

What is the range of the graph?

a)

The range is between -15 and 3

b)

The range is between 3 and -15

c)

The range is between -28 and -4

d)

The range is between -4 and -28

10.

According to this graph, what is the function value when x = 4 ?

a)

-3

b)

4

c)

0

d)

-2

11.

Using the pictured graph, what is f(-3)?

a)

-3

b)

-1

c)

1

d)

3

12.

What is g(4) if:

a)

-17

b)

-13

c)

13

d)

-5

13.

What is g(7) if:

a)

-17

b)

-13

c)

13

d)

17

14.

What is m(-3) if:

a)

-3

b)

0.5

c)

3

d)

-3.5

15.

Find f(0)

a)

-3

b)

18

c)

4

d)

0

16.

Choose the correct equation for the graph.

a)

$y=\left|x+2\right|$

b)

$y=\left|x-2\right|$

c)

$y=\left|x\right|+2$

d)

$y=\left|x\right|-2$

17.

Choose the correct equation for the graph.

a)

$y=\left|x+2\right|$

b)

$y=\left|x-2\right|$

c)

$y=\left|x\right|+2$

d)

$y=\left|x\right|-2$

18.

Choose the correct equation for the graph.

a)

$y=\left|x+2\right|$

b)

$y=\left|x-2\right|$

c)

$y=\left|x\right|+2$

d)

$y=\left|x\right|-2$

19.

Choose the correct equation for the graph.

a)

$y=\left|x+2\right|$

b)

$y=\left|x-2\right|$

c)

$y=\left|x\right|+2$

d)

$y=\left|x\right|-2$

20.

Choose the correct equation for the graph.

a)

$y=\left|x+3\right|-4$

b)

$y=\left|x-3\right|-4$

c)

$y=\left|x+3\right|+4$

d)

$y=\left|x-3\right|+4$

21.

Choose the correct equation for the graph.

a)

$y=\left|x-6\right|-3$

b)

$y=\left|x-6\right|+3$

c)

$y=\left|x+6\right|+3$

d)

$y=\left|x+6\right|-3$

22.

y = |x| - 7 makes the graph slide . . .

a)

left 7

b)

right 7

c)

up 7

d)

down 7

23.

Choose the description of the transformations on f(x) = $\left|x\right|$ that result in g(x):

$g\left(x\right)=\left|x\right|+3$

a)

Horizontal translation 3 units left

b)

Horizontal translation 3 units right

c)

Vertical translation 3 units down

d)

Vertical translation 3 units up

24.

Choose the description of the transformations on f(x) = $\left|x\right|$ that result in g(x):

$g\left(x\right)=\left|x-45\right|$

a)

Horizontal translation 45 units left

b)

Horizontal translation 45 units right

c)

Vertical translation 45 units down

d)

Vertical translation 45 units up

25.

Choose the description of the transformations on f(x) = $\left|x\right|$ that results in

g(x) = I x + 7 I

a)

Horizontal translation left 7 units

b)

Horizontal translation right 7 units

c)

Vertical translation up 7 units

d)

Vertical translation down 7 units

26.

For the parent function f(x), state the transformations that will give you g(x).

$f\left(x\right)=\left|x\right|$

$g\left(x\right)=\left|x+3\right|+8$

a)

Right 3

Down 8

b)

Right 3

Up 8

c)

Left 3

Down 8

d)

Left 3

Up 8

e)

Up 3

Right 8

27.

What is the domain of the absolute value function?

a)

(4, 0)

b)

(0, 4)

c)

(-infinity, infinity)

d)

[4, infinity)

28.

Which statement best describes l -4 l?

a)

the distance from -4 to 4 on a number line

b)

the distance from 4 to 0 on a number line

c)

the distance from -4 to 0 on a number line

d)

the distance from 0 to 4 on a number line

29.

Describe the transformation of the equation below from the parent function of y = IxI

y = I x + 2 I - 5

a)

Left 2 up 5

b)

Right 2 up 5

c)

Left 2 down 5

30.

How can you write an absolute value equation so that the vertex will be at (-5,-7)?

a)

$y=\left|x-5\right|-7$

b)

$y=\left|x+5\right|-7$

c)

$y=\left|x-7\right|-5$

d)

$y=\left|x+7\right|-5$

31.

The shape of the function is

a)

a U shape

b)

a V shape

c)

randomly placed curved lines

d)

an X shape

32.

What are the coordinates of the vertex?

a)

(-6, 4)

b)

(0,6)

c)

(0, -6)

d)

(-6, 0)

33.

Determine the vertex

y=\left|x-3\right|+5

a)

(3, 5)

b)

(-3, 5)

c)

(3, -5)

d)

(-3, -5)

34.

Determine the vertex

y=\left|x\right|+2

a)

(2, 0)

b)

(0, -2)

c)

(1, -2)

d)

(0, 2)

35.

Determine the vertex

y=\left|x-1\right|-6

a)

(-1, 6)

b)

(1, 6)

c)

(-1, -6)

d)

(1, -6)

36.

Identify the location of the vertex.

$f\left(x\right)=\left|x\right|$

a)

There is no vertex

b)

(1, 1)

c)

(0, 0)

d)

(1, 0)

37.

The height of water in a bathtub, w , is a function of time, t . Let P represent this function.

Which statement in function notation matches this description: After 20 minutes, the bathtub is empty.

a)

P (0) = 0

b)

P (4) = 10

c)

P (10) = 4

d)

P (20) = 0

38.

The height of water in a bathtub, w , is a function of time, t . Let P represent this function.

Which statement in function notation matches this description: The height of the water is 10 inches after 4 minutes.

a)

P (0) = 0

b)

P (4) = 10

c)

P (10) = 4

d)

P (20) = 0

39.

Function C gives the cost, in dollars, of buying n apples. Which expression matches this situation?

The cost of 2 apples

a)

C (2)

b)

C (n) = 2

40.

The relationship between the amount of time a car is parked, in hours, and the cost of parking, in dollars, can be described with a function. Cost is the _______________.

a)

independent variable

b)

dependent variable

41.

The relationship between the amount of time a car is parked, in hours, and the cost of parking, in dollars, can be described with a function. Time is the _______________.

a)

independent variable

b)

dependent variable

42.

Function Q gives a puppy’s weight in pounds as a function of its age in months (m). True or false?

The puppy's weight is the _______.

a)

Input

b)

Output

43.

Function Q gives a puppy’s weight in pounds as a function of its age in months (m). True or false?

The puppy's age in months is the _______.

a)

Input

b)

Output

44.

Function Q gives a puppy’s weight in pounds as a function of its age in months (m). Which equation matches this statement?

When the puppy was 30 months old, it weighed 27.5 pounds.

a)

Q (27.5) = 30

b)

Q (30) = 27.5

45.

f(x) = x+7 find f(1)

a)

5

b)

6

c)

7

d)

8

46.

If f(x) = 2x + 1, what would be your first step to find f(1)?

a)

Plug a 1 in for all the x's

b)

Set the function equal to 1

c)

Only plug a 1 into the left side

d)

Only plug a 1 into the right side

47.

g(x) = 3x + 1
g(2) = _______

a)

6

b)

7

c)

8

d)

9

48.

How do you read

f\left(x\right)

?

a)

f x

b)

f of x

c)

f parenthesis x

d)

f with an x inside parenthesis

49.

Translate the function notation into a coordinate point.

$f\left(-1\right)=5$

a)

$\left(-1,5\right)$

b)

$\left(1,5\right)$

c)

$\left(5,1\right)$

d)

$\left(5,-1\right)$

50.

Which graph is not a function?

a)

Graph 1

b)

Graph 2

c)

Graph 3

d)

Graph 4

51.

What is the definition of function?

a)

Has inputs and outputs

b)

Every input has only ONE output

c)

Inputs have different outputs every time

d)

x-values and y-values

52.

a)

Function

b)

Not a Function

53.

a)

Function

b)

Not a Function

54.

a)

Function

b)

Not a Function

55.

a)

Function

b)

Not a Function

56.

Which of the following is a function?

a)

b)

c)

d)

57.

Which graph is NOT a function?

a)

Graph 1

b)

Graph 2

c)

Graph 3

d)

Graph 4

58.

Which set of ordered pairs is a function?

a)

{(9,5), (10,5), (9,-5), (10,-5)}

b)

{(3,4), (4,-3), (7,4), (3, 8)}

c)

{(6,-5), (7, -3), (8, -1), (9, 1)}

d)

{(2, -2), (5, 9), (5, -7), (1, 4)}

59.

All of the x values are called what?

a)

Inputs

b)

Range

c)

Relation

d)

Function

60.

All of the y values are called what?

a)

Domain

b)

Outputs

c)

Relation

d)

Function

61.

How do you calculate the slope of a line?

a)

$\frac{RISE}{RUN}$

b)

Whatever y is, when x=0

c)

Add all the points, then divide by 2

d)

Take the square root

62.

What is the slope of this line?

a)

-2

b)

2

c)

3

d)

1/2

63.

What is f(1)?

a)

1

b)

5

c)

0

d)

4

64.

What is f(8)?

a)

8

b)

0

c)

3

d)

-2

65.

What is the average rate of change for x=0 to x=9?

a)

Not possible

b)

8/9

c)

9/8

d)

8

66.

What is the average rate of change for x=-2 to x=0?

a)

-1/2

b)

-2

c)

1/2

d)

2

67.

Calculate the average rate of change from 20 to 40 minutes.

a)

-2 minutes per gallon

b)

-20 minutes per gallon

c)

-2 gallons per minute

d)

-20 gallons per minute

68.

Find the average rate of change of Pete's height from 3 years old to 5 years old.

a)

2 inches per year

b)

8 inches per year

c)

2 years

d)

4 inches per year

69.

Average Rate of Change is also known as...

a)

y-intercept

b)

x-intercept

c)

linear

d)

slope

70.

Find the slope of the line that passes through
(10, 1) and (5, 2)

a)

1/5

b)

-1/5

c)

5

d)

-5

71.

Find the slope of the line through each pair of points.

( 1, - 19 ) and ( - 2, - 7 )

a)

50%

b)

9/4

c)

-4

d)

11

72.

What is happening in the graph between 30 and 40 minutes?

a)

Sarah is accelerating

b)

Sarah is not moving

c)

Sarah is slowing down

d)

Sarah is travelling at a constant speed

73.

Describe the bus’s motion from A-B

a)

A)The bus is speeding up

b)

B)The bus's speed is remaining constant

c)

C)The Bus is stopped

d)

D)The bus is beginning to slow down

74.

Describe the bus’s motion from C-D

a)

A)The bus is speeding up

b)

B)The bus's speed is remaining constant

c)

C)The Bus is stopped

d)

D)The bus is beginning to slow down

75.

What is happening in this graph from point A to B? HINT: Look at the axis labels.

a)

The object is accelerating.

b)

The object is not moving.

c)

The object is decelerating.

d)

The object is moving at a constant speed.

76.

John is traveling to school:

At what segment is John traveling back home?

a)

A

b)

B

c)

C

d)

D

77.

John is traveling to school:

At what segments is John traveling AWAY from home?

a)

A

b)

B

c)

C

d)

D

78.

Which runner started out the fastest?

a)

Albert

b)

Bob

c)

Charlie

d)

none of the above

79.

Which month had the biggest difference between the high and low temperatures?

a)

January

b)

April

c)

October

d)

November

80.

What is the dependent variable for this graph?

a)

The Relationship between Time Spent Studying and Test Grades

b)

The effect of Time Spent Studying and Test Grades

c)

Time Spent Studying

d)

Test Grades

81.

What is the independent variable for this graph?

a)

The Relationship between Time Spent Studying and Test Grades

b)

The effect of Time Spent Studying and Test Grades

c)

Time Spent Studying

d)

Test Grades

82.

Find the y-intercept(s) of the graph shown.

a)

(-3.3, 0)

b)

(5.6, 0)

c)

(-5, 0)

d)

(0, 4)

83.

What is the minimum of this graph?

a)

(-2,6)

b)

(-0.5,-3.5)

c)

(-1,-3)

d)

(3,0)

84.

Which function has a maximum at (2, 0)?

a)

b)

c)

d)

85.

Look at the function that is graphed, what are the maximum and minimum values of this function?

a)

maximum 15, minimum -5

b)

maximum 25, minimum -15

c)

maximum 25, minimum -10

d)

maximum 30, minimum -10

86.

What is the domain of the function?

a)

95 to 116 degrees

b)

0 to 24

c)

0 to 120

d)

0 to 24 hours

87.

What is the range of the function?

a)

95 to 116 degrees

b)

0 to 24

c)

0 to 120 degrees

d)

0 to 24 hours

ALGEBRA IM UNIT 4 MIDTERM REVIEW

Total questions: 87

Worksheet time: 4hrs 42mins

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