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Final Exam Review - Unit 1

Total questions: 75

Worksheet time: 7hrs 36mins

Name
Class
Date
1.

What is the equation of a line with a slope of 4 and a y-intercept of 2?

a)

y = -4x + 2

b)

y = -2x + 4

c)

y = 4x + 2

d)

y = 2x + 4

2.

What is the equation of a line when m = -7 and b = -8?

a)

y = -7x + 8

b)

y = -7x - 8

c)

y = 7x - 8

d)

y = 7x + 8

3.
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
4.
Write the equation of the line.
a)
y= -1x-3
b)
y= -3x-1
c)
y=-1/3x-1
d)
y= -3x-3
5.
What is the equation of this line?
a)
y = 2x +2
b)
y = 2x -2
c)
y = -x + 2
d)
Cannot be Determined
6.
Write the equation of the line.
a)
y = -1/3x - 2
b)
y = 1/3x - 2
c)
y = 3x - 2
d)
y = -3x - 2
7.

Quadratic

a)
b)
c)
d)
8.

Linear

a)

y=x2y=x^2

b)

y=xy=\sqrt{x}

c)

y=xy=x

d)

y=2xy=2^x

9.

Exponential

a)
b)
c)
d)
10.

y=2xy=2^x  

a)

Linear

b)

Quadratic

c)

Exponential

d)

Radical

11.

Absolute value

a)

y=xy=\left|x\right|

b)

y=2xy=2^x

c)

y=xy=\sqrt{x}

d)

y=x2y=x^2

12.

radical/root

a)

y=xy=x

b)

y=xy=\sqrt{x}

c)

y=2xy=2^x

d)

y=xy=\left|x\right|

13.
a)

Linear

b)

Absolute Value

c)

Exponential

d)

Square root

14.

Name this Function:

a)

Linear

b)

Quadratic

c)

Square Root

d)

Exponential

15.
Which parent function matches the graph?
a)

y = |x|

b)

y = x

c)

y = x2

d)

y = 2x2^x

16.
What type of function is shown?
a)
exponential
b)
linear
c)
quadratic
d)
square root
17.

Which equation goes with the graph

a)

y = x

b)

y=x2y=x^2

c)

y=xy=\left|x\right|

d)

y=2xy=2^x

18.
Find the slope of the line.
a)
-5/4
b)
5/4
c)
-4/5
d)
4/5
19.
At 0 seconds, Mrs. Taylor was 10 feet off the ground.  At 5 seconds, she was 20 feet off the ground.  What is her rate in feet per second?
a)
10 feet per second
b)
5 feet per second
c)
2 feet per second
d)
6 feet per second
20.
Find the slope from the table:
a)
-2/5
b)
5/-2
c)
5/2
d)
2/5
21.
What is Mrs. Gordon's rate from 0 to 2 seconds?
a)
2.5 feet per second
b)
.4 feet per second
c)
5 feet per second
d)
.2 feet per second
22.

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

23.
A climber is on a hike. After 2 hours he is at an altitude of 400 feet. After 6 hours, he is at an altitude of 700 feet. What is the average rate of change? 
a)
200
b)
150
c)
300
d)
75
24.
What is the average rate of change from x=0 to x=1
a)
-3
b)
3
c)
0
d)
2
25.

Is the table pictured a linear relationship? Why or Why not?

a)

Yes, it has a constant change

b)

Yes, it has different rates of change

c)

No, it has constant rate of change

d)

No, it does not have a constant rate of change

26.
Using the graph, find the average rate of change at which this person was traveling. 
a)
80 miles per hour
b)
40 miles per hour
c)
20 miles per hour
d)
160 miles per hour
27.
What is Mrs. Gordon's rate from 0 to 2 seconds?
a)
2.5 feet per second
b)
.4 feet per second
c)
5 feet per second
d)
.2 feet per second
28.
Is the sequence arithmetic: 37, 31, 25, 19, ...
a)
Yes
b)
No
29.
Is the sequence arithmetic: 17, 9, 1, -7, ...
a)
Yes
b)
No
30.
Find the common difference: -34, -29, -24, -19, ...
a)
d = -5
b)
d = 5
c)
d = -6
d)
d = 6
31.
Find the common difference: 29, 21, 13, 5, ...
a)
d = -10
b)
d = -9
c)
d = -8
d)
d = -7
32.
Find the common difference: -18, -23, -28, -33, ...
a)
d = -5
b)
d = 5
c)
d = -3
d)
d = 3
33.
Find the next three terms in the arithmetic sequence: -33, -24, -15, -6, ...
a)
-1, 7, 15
b)
-5, 2, 9
c)
3, 12, 21
d)
-65, -73, -81
34.
Find the next three terms in the arithmetic sequence: -3, -8, -13, -18, ...
a)
-20, -24, -28
b)
-21, -25, -29
c)
-23, -28, -33
d)
-24, -29, -32
35.
Find the next three terms in the arithmetic sequence: 9, 19, 29, 39, ...
a)
45, 54, 63
b)
49, 59, 69
c)
39, 49, 59
d)
59, 69, 79
36.
Find the next three terms in the arithmetic sequence: 25, 34, 43, 52, ...
a)
63, 72, 81
b)
79, 88, 97
c)
70, 79, 88
d)
61, 70, 79
37.
Find the 35th term in the arithmetic sequence: -10, -14, -18, -22, ...
a)
-216
b)
-148
c)
-146
d)
-150
38.
Find a26 in the arithmetic sequence: -15, -35, -55, -75, ...
a)
-515
b)
-490
c)
-535
d)
460
39.
Find the 26th term in the arithmetic sequence: 20, 26, 32, 38, ...
a)
182
b)
176
c)
170
d)
-118
40.
Find a20 in the arithmetic sequence: 5, 12, 19, 26...
a)
145
b)
144
c)
142
d)
138
41.
Find the 22nd term of the following sequence:
5, 8, 11, ...
a)
14
b)
68
c)
63
d)
71
42.
Find the first term of the given sequence:
a14=68
d=3
a)
14
b)
20
c)
26
d)
29
43.
Identify the common difference.
97, 86, 75, 64, ...
a)
8
b)
11
c)
-11
d)
-8
44.
Identify the common difference.
3, 7, 11, 15, ...
a)
6
b)
5
c)
4
d)
2
45.
Find the 32nd term of this sequence.
34, 37, 40, 43, ...
a)
32
b)
64
c)
127
d)
356
46.
Is the following sequence arithmetic?
21, 13, 5, -3, ...
a)
YES
b)
NO
47.
Is the following sequence arithmetic?
1, 4, 9, 16, ...
a)
YES
b)
NO
48.
Find the common difference: -34, -29, -24, -19, ...
a)
d = -5
b)
d = 5
c)
d = -6
d)
d = 6
49.
Bob has $150 in his savings account and saves $40 per month.  Which equation represents the amount Bob has in his account after x months?
a)
y = 150 + 40
b)
y = 40x + 150
c)
y = 150x + 40
50.

A holiday meal costs $12.50 a person plus a delivery fee of $30. Which equation represents the amount a holiday meal costs, including delivery, for x people?

a)

y = 12.5x + 30

b)

y = 12.5 + 30

c)

y = 12.5 + 30x

51.
Easy Car Rental charges $8.50 an hour plus a rental fee of $25.50. Which equation represents the total charges for x hours?
a)
y = 8.5 + 25.5
b)
y = 25.5 + 8.5x
c)
y = 8.5 + 25.5x
52.
Jerry has $20 and makes $7 per hour. Which equation represents the total amount of money Jerry has after working x hours?
a)
y = 7x + 20
b)
y = 7 + 20x
c)
y = 20 + 7
53.

Sonya has $40 in her lunch account and pays $2 each day to eat lunch. Which equation can be used to find the amount of money Sonya has left on her account after x days?

a)

y = 40 + 2x

b)

y = - 2x + 40

c)

y = 2 + 40x

d)

y = 2 - 40x

54.
The start up cost to join eTunes music is $7.95 plus $0.95 per song downloaded.  If Will spent $26, write and solve a linear equation to find how many songs he downloaded.
a)
32 songs
b)
33 songs
c)
19 songs
d)
36 songs
55.
You and your friends plan to attend the county fair this weekend.  Admission to the fair is $5 and the cost per ride is $0.50.  How many rides can you go on if you have $20?
a)
20 rides
b)
30 rides
c)
40 rides
d)
50 rides
56.

A man is climbing down from 100 feet high descending 30 feet per minute.

a)

y = - 30x + 100

b)

y = 100 + 30x

c)

y = 100x + 30

d)

y = 100x - 30

57.

The total cost (y) at an amusement park can be modeled by y=1.5x+20 where x is the number of rides you ride. What is the price to ride 10 rides?

a)

35

b)

21.5

c)

30

d)

30.50

58.
Sandra has a $20 itunes gift card and spends $3 each month.  Which equation can be used to find how much money Sandra has on her giftcard after x months?
a)
y = 3x + 20
b)
y = 3 + 20x
c)
y = -3x + 20
d)
y = -20x + 3
59.
 In order to join an online learning community, there is a $20 startup fee and a $5 monthly fee. Write an equation in slope-intercept form that models this situation.
a)
y = 20x + 5
b)
y = 5x +20
60.

A canoe rental service charges a $20 transportation fee and $30 dollars an hour to rent a canoe. Write an equation representing the cost, y, of renting a canoe for x hours.

a)

y = 30x + 20

b)

y = 30 + 20x

c)

y = 50x

d)

y = 60x

61.
In order to join a dancing club, there is a $30 startup fee and a $4 monthly fee. Write an equation in slope-intercept form that models this situation.  After how many months will the total cost be $58?
a)
7 months
b)
6 months
c)
5 months 
d)
4 months
62.
What is the y-intercept of the line y = 4x - 10?
a)
4
b)
-4
c)
10
d)
-10
63.
What is the slope of the line y= -4x + 10?
a)
10
b)
4
c)
-4
d)
-10
64.
Find the slope of the line that passes through the points (2, 4) and (6, 12)
a)
1/2
b)
-1/2
c)
2
d)
-2
65.

Determine the slope and y-intercept from the following equation: y = 3/2x + 3

a)

slope: 5 y-intercept: 3

b)

slope: 3/2 y-intercept: 3

c)

slope: 4 y-intercept: 3/2

d)

slope: 1/5 y-intercept: 5

66.

Let

h(x)=135xh\left(x\right)=13-5x   What is h(5)=h\left(5\right)=  ?

a)

h(5)=12h\left(5\right)=12  

b)

h(5)=3h\left(5\right)=3  

c)

h(5)=2h\left(5\right)=-2  

d)

h(5)=12h\left(5\right)=-12  

67.

Given f(x) = x2 - 1, what is the value of f(10)?

a)

100

b)

19

c)

99

d)

9

68.
Given h(x) = 5 - 9x, find h(8). 
a)
h(8) = -360
b)
h(8) = -67
69.
Evaluate for f(1)
a)
0
b)
-3
c)
3
d)
2
70.

If a question asks you to find f(2), what does that mean?

a)

Let x = 2

b)

Let y = 2

71.

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

72.

If f(x) = 2x + 1, find f(1).

a)

f(1) = 1

b)

f(1) = 4

c)

f(1) = 0

d)

f(1) = 3

73.
Evaluate f(-2) if f(x) = x + 3
a)
-1
b)
1
c)
5
d)
-5
74.

f(x) means the same thing as ____.

a)

x

b)

t

c)

y

d)

r

75.

Given h(x)=3-8x, find h(1.25).

a)

-7

b)

7

c)

-3.75

d)

3.75