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Final Exam Review, Unit 3A&B: Linear&Exponential Functions

Total questions: 128

Worksheet time: 6hrs 19mins

Name
Class
Date
1.
What is the slope?
a)
-1/3
b)
-3
c)
-4
d)
5
2.
What is the slope?
a)
2/5
b)
5/2
c)
3
d)
5.5
3.
Find the slope:
a)
3/4
b)
4/3
c)
-3/4
d)
-4/3
4.
Find the slope:
a)
2
b)
-2
c)
1/2
d)
-1/2
5.
Identify the slope...
a)
positive
b)
negative
c)
zero
d)
undefined
6.
Find the slope of the line that passes through (10, -8) and
(1, 12).
a)
20/9
b)
-20/9
c)
4/9
d)
9/4
7.
The table shows the cost of long distance calls based on the number of minutes used. Is there a constant rate of change, and if so what is it?
a)
Yes, 10 calls per minute
b)
Yes, $.10 per minute
c)
Yes, $.40 per minute
d)
Not a constant rate
8.
Find the rate of change.
a)
-2 minutes per gallon
b)
-20 minutes per gallon
c)
-2 gallons per minute
d)
-20 gallons per minute
9.
Find the unit rate:  $3.60 for 3 pounds of apples. How much does it cost for 1 pound of apples?
a)
$1.00 per pound
b)
$3.60 per pound
c)
$1.20 per pound
d)
$1.10 per pound
10.
What is the rate of change for the following graph?
a)
80
b)
20
c)
40
d)
160
11.
Identify the slope...
a)
positive
b)
negative
c)
zero
d)
undefined
12.
Which rate of change represents the following the graph shown?
a)
$ 5 per movie
b)
$10 per movie
c)
$1 per movie
d)
$0.20 per movie
13.
What kind of correlation?
a)
Positive
b)
Negative
c)
No
14.
What kind of correlation?
a)
Positive
b)
Negative
c)
No
15.

Hours of studying vs. grades

a)

Positive Correlation

b)

Negative Correlation

c)

No Correlation

16.

Distance traveled vs. amount of gas in the car

a)

Positive Correlation

b)

Negative Correlation

c)

No Correlation

17.

Hours in the mall vs. amount of money spent

a)

Positive Correlation

b)

Negative Correlation

c)

No Correlation

18.

A person’s height and a person’s age up to adulthood

a)

Positive Correlation

b)

Negative Correlation

c)

No Correlation

19.
Identify the slope and y-intercept of:
y = 1/5x + 5
a)
slope: 1/6   y-intercept:  4 
b)
slope: 1/5   y-intercept:  5 
c)
slope: 5/1   y-intercept:  5 
d)
slope: 1   y-intercept:  5 
20.
Identify the slope and y-intercept of:
y = 3 -x
a)
slope:-1   y-intercept:  3
b)
slope: 1/5   y-intercept:  5 
c)
slope: 1    y-intercept:  -3
d)
slope: -1   y-intercept:  -3
21.
Write a rule:  A plumber charges $50 for a house call plus $12 per hour for labor.
a)
y = 50 x + 12
b)
y = 50 + 12 x
c)
y = 62 x
d)
x = 50 + 12y
22.
Write a rule :  Miles has joined a weight loss program.  His weight is 225 lbs and he is losing weight at a rate of 3 lbs per week.
a)
y = 222 x
b)
y = 225 + 3 x
c)
y = 225 - 3x
d)
y=225x - 3
23.
What slope is parallel to:  
m = 3/4
a)
4/3
b)
3/4
c)
-3/4
d)
-4/3
24.
Transform from standard form to slope intercept form:    2x-3y=10
a)
y=-2x+10
b)
y= 2/3x-10/3
c)
y=-2/3x+ 10/3
d)
y=2/3x+10
25.
When you have a vertical line, you have a slope that's _______
a)
Zero 
b)
Undefined 
c)
One
d)
Ten
26.
Which equation represents the following graph?
a)
y = 3x + 2
b)
y = -2x + 3
c)
y = 2x + 3
d)
y = -3x + 2
27.
What is the equation for the line that passes through the points (4,2) and (0,6)?
a)
y = x + 6
b)
y = -2x + 2
c)
y = -x - 6
d)
y = -x + 6
28.
What is the equation of this line in slope-intercept form?
a)
y = 2x + 5
b)
y = -2x + 5
c)
y = -2x
d)
y = 5
29.

Which is the equation of the line given y=2x +7, parallel and passing through (0,0)

a)

y = 2x

b)

y = 2x +7

c)

y = 2x -7

d)

y = 1/2x - 7

30.
What is the equation of this line?
a)
0
b)
undefined 
c)
y = -2
d)
x = -2
31.

For the equation  6x−2y=246x-2y=24 . 

What is the slope and the y-intercept?

a)

Slope =  −3-3 , y-intercept  2424  

b)

Slope =  33 , y-intercept  −12-12  

c)

Slope =  −6-6 , y-intercept  12  

d)

Slope =  66 , y-intercept  −24-24  

32.
Which equation is parallel to:
y = 5/7x +2
a)
y = -7/5x +1
b)
y = 7/5x +4
c)
y = -5/7x -3
d)
y = 5/7x +5
33.
Which equation is parallel to:
y = -2x +2
a)
y = -2x +5
b)
y = -1/2x +3
c)
y = 2x +6
d)
y = 1/2x +7
34.
Marcus has a landscape company where he spreads pinestraw. He charges a $20 delivery fee and $3.50 per bale of pinestraw. Which equation represents the amount of money that Marcus charges?
a)
y = 20x + 3.50
b)
y = 3.5x - 20
c)
y = 20x - 3.50
d)
y = 3.50x + 20
35.
Amy is on a weight loss show. When the show began, she weighed 231 pounds. During the show, she lost 4 pounds per week. Which equation represents the amount of weight she lost?
a)
y = 4 - 231x
b)
y = 231x - 4
c)
y = 231 - 4x 
d)
y = 4x + 231
36.
Compare the two linear functions listed below and determine which has a greater slope.
a)
Function 1 because the slope is 12
b)
Function 2 because the slope is 1
c)
Function 1 because the slope is 1/12
d)
They are equal 
37.
Compare the two linear functions listed below and determine which has a greater slope.
a)
Function 1 because the slope is 3/2
b)
Function 2 because the slope is 1
c)
Function 1 because the slope is 2/3
d)
They are equal 
38.
For the equation
y - 3 = 2(x + 4),
the line has a slope of 2 and contains what point?
a)
(-4, 3)
b)
(3, -4)
c)
(-3, -4)
d)
(-4, -3)
39.
For the equation
y + 1 = -3(x - 5),
the line contains the point (5, -1) and has a slope of?
a)
-1
b)
1
c)
-3
d)
5
40.
Write the equation in point-slope form of the line that passes through the given point and has the given slope.
(4, -7); m = -1/4
a)
y + 7 = -1/4(x - 4)
b)
y - 4 = -1/4(x + 7)
c)
y + 7 = 4(x - 4)
d)
y - 7 = -1/4(x - 4)
41.
Write the equation of the line in Point-Slope form that goes through the point (10,5) and has a slope of -3
a)
y - 5 = -3(x - 10)
b)
y= -3x + 35
c)
y + 5= -3(x + 10)
d)
y= -3x - 35
42.
Which of these represents point-slope form of a linear equation?
a)
y - y1 = m(x - x1)
b)
Ax + By = C
c)
y = mx + b
43.
Which of these represents slope-intercept form of a linear equation?
a)
y - y1 = m(x-x1)
b)
Ax + By = C
c)
y = mx + b
44.
Write the following equation in slope-intercept form:
4x - 3y = 12
a)
y = -4/3x + 3
b)
y = -4x + 12
c)
y = 4/3x - 4
d)
y = 4/3x - 12
45.
Find the y-intercept of the line that passes through the given point and has the given slope:
 (-2, -1); m= -3
a)
b = -6
b)
b = -7
c)
b = 6
d)
b = 7
46.
 Write the equation of the line that passes through the points (0, -5) and (4, 3)
a)
y=2x-5
b)
y=1/2x-5
c)
y=2x+5
d)
y=1/2x+5
47.
Write the equation in slope-intercept form (solve for y):
2y = 10x + 14
a)
y = 10x + 12
b)
y = 10x + 7
c)
y = 5x + 14
d)
y = 5x + 7
48.

Given the table, what is the equation of the line in point slope form?

a)

y - 12 = ½(x - 6)

b)

y - 4 = ½(x - 8)

c)

y + 2 = ½(x + 4)

d)

y + 6 = ½(x +12)

49.

Given the graph, what is the equation of the line in point slope form?

a)

y - 20 = ½(x - 4)

b)

y - 20 = 5(x - 4)

c)

y + 20= 5(x + 4)

d)

y - 20 = 1(x - 4)

50.
a)
y= 3/4 x + 3
b)
y= 1/2 x +3
c)
y= 2x+3
d)
y=2x-7
51.
Write the equation in point-slope form for the line that contains the points
(-2, -3), (4, 3)
a)
y - 3 = 1(x - 2)
b)
y + 3 = 1(x + 2)
c)
y -3 = -1(x + 2)
d)
y + 3 = -1(x - 2)
52.
Does the graph represent an exponential growth or an exponential decay function?
a)
Exponential Growth
b)
Exponential Decay
53.
Which of the following is an increasing exponential function whose y-intercept is 50?
a)
y = 50(.05)x
b)
y = 50x - 4
c)
y = (2)x + 50
d)
y = 50(1.4)x
54.
A collectible car has been going up in price by 10% each year. If the car is already worth $29,000, how much will the car be worth in 5 years?
a)
$0.29
b)
$2,900,000,000
c)
$46,704.79
d)
$145,000
55.
Is the graph exponential growth or decay?
a)
Exponential growth
b)
Exponential decay
56.
Is the following function exponential growth, exponential decay, linear, or none of the above?
p(x) = 13x - 5
a)
Exponential growth
b)
Exponential decay
c)
Linear
d)
None of the above
57.
Is the following function exponential growth, exponential decay, linear, or none of the above.
g(x) = 740(.001)3x
a)
Exponential growth
b)
Exponential decay
c)
Linear
d)
None of the above
58.
What is a, the starting term, for the function: f(x) = 300(1.16)x?
a)
300
b)
1.16
c)
.16
d)
x
59.
What type of function is f(x)=2(1/7)x ?
a)
Exponential Growth
b)
Linear
c)
Exponential Decay
d)
None of the Abovee
60.
What type of function is y = 7(5/4)x?
a)
Exponential Growth
b)
Exponential Decay
c)
Linear
d)
None of the above
61.
A new savings account is opened with $400 and gains 3% every year. What is the exponential function?
a)
f(x)=400(1+3)x
b)
f(x)=400(1-0.03)x
c)
f(x)=400(1+0.03)x
d)
f(x)=400(0.03)x
62.

Which does y=.5(2)x represent?

a)

Exponential Growth

b)

Exponential Decay

63.
Is the table linear or exponential?
a)
Linear
b)
Exponential
64.
What is the common ratio for the sequence:
28, 14, 7, 3.5...
Reminder: The common ratio is MULTIPLIED each time
a)
2
b)
1/2
c)
-14
d)
-7
65.
Is the table linear or exponential?
a)
Linear
b)
Exponential
66.
Is the table linear or exponential?
a)
Linear
b)
Exponential
67.
What is the common difference?
5, 13, 21, 29
a)
8
b)
7
c)
5
d)
13
68.

Maggie is knitting blankets for the residents of a local nursing home. She already has 6 blankets completed. After one week, Kay has 8 blankets. After two weeks, Kay has 10 blankets. Kay's scenario is best represented by a _______________ function.

a)

Linear

b)

Quadratic

c)

Exponential

d)

None of the above

69.

Maggie is knitting blankets for the residents of a local nursing home. She already has 6 blankets completed. After one week, Kay has 8 blankets. After two weeks, Kay has 10 blankets. Write the equation that represents this situation.

a)

y = 6x + 2

b)

y = 2x + 6

c)

y = 6(2)x

d)

y = 2(6)x

70.

In the first year of an annual 5K run there were 120 participants. In the 2nd and 3rd year of the 5K run, there were 180 and 270 participants respectively. This situation is best modeled by a(n) ________________ function.

a)

linear

b)

quadratic

c)

exponential

d)

none of the above

71.

In the first year of an annual 5K run there were 120 participants. In the 2nd and 3rd year of the 5K run, there were 180 and 270 participants respectively. Write the function to best represent the scenario.

a)

y = 1.5(120)x

b)

y = 1.5(120)x-1

c)

y = 120(1.5)x

d)

y = 120(1.5)x-1

72.

A tennis tournament begins with 128 players. At the end of round one, there will be 64 players. There are 32 players at the end of round 2 and 16 players remaining after round 3. This situation is best modeled by a(n) _________________ function.

a)

linear

b)

quadratic

c)

exponential

d)

none of the above

73.

A tennis tournament begins with 128 players. At the end of round one, there will be 64 players. There are 32 players at the end of round 2 and 16 players remaining after round 3. How many rounds of the tennis tournament will be played before there is a champion?

a)

1

b)

7

c)

128

d)

The answer cannot be determined

74.
Your 3 year investment of $20,000 received 5.2% interest compounded annually.  What is your total return?
a)
$23,285.05
b)
$3,285.05
c)
$2,385
d)
$32,285
75.
You borrowed $59,000 for 2 years at 11% which was compounded annually.  What total will you pay back?
a)
$13,693.90
b)
$1,363.90
c)
$72,693.90
d)
$73,793.90
76.
Your 6 year investment of $40,000 at 14% interest compounded annually is worth how much now?
a)
$47,798.90
b)
$87,798.90
c)
$127,798
d)
$7,798
77.
Find the slope for the trend line using points (2,2) and (4,3)
a)
2
b)
1/2
c)
-2
d)
-1/2
78.

What is the equation of the line of best fit?

a)

y = -25x + 170

b)

y = -5/8x + 170

c)

y = 25x + 170

d)

y = 5/8x + 170

79.

Use the line of best fit to approximate rate of change relative to the scatter plot above.

a)

7/5

b)

5/7

c)

-7/5

d)

-5/7

80.
What is the line of best fit?
a)
y = 5/3x + 375
b)
y = 1/3x + 475
c)
y = 5/3x + 3
d)
y = 1/3x + 375
81.
Find the slope:
a)
3/4
b)
4/3
c)
-3/4
d)
-4/3
82.

Which company shows a greater rate of change?

4 lines
83.

Which panda is growing faster?

4 lines
84.

Which panda will weigh more at 5 weeks?

4 lines
85.

Compare the rates of change. Do they have the same rate of change? If they have different rates of change, which one is greater?

4 lines
86.

Who weighed more at the beginning of the show?

4 lines
87.

Who is losing weight faster?

4 lines
88.

What is the rate of change for each function, and which one has the greater rate of change?

4 lines
89.

Who has the greater rate of change?

4 lines
90.

What is the rate of change for each? Who has the greater rate of change?

4 lines
91.

Who has a greater rate of change? (slope)

4 lines
92.
y = 3x +2
y = 3x - 3
These lines are...
a)
Parallel
b)
Perpendicular
c)
Neither
d)
The same line
93.
What slope is parallel to:  
m = 3/4
a)
4/3
b)
3/4
c)
-3/4
d)
-4/3
94.

If a line has a slope of 3/4 a line that is parallel has a slope of what?

a)

3/4

b)

4/3

c)

-3/4

d)

-4/3

95.
y = 5/7x +2
y = 5/7x - 30
These lines are...
a)
Parallel
b)
Perpendicular
c)
Neither
96.

Are the slopes below parallel, perpendicular, or intersecting?
 Line A: 23Line\ A:\ \frac{2}{3}  

 Line B: (3, −3) and (−6, −9)Line\ B:\ \left(3,\ -3\right)\ and\ \left(-6,\ -9\right)  

a)

Parallel

b)

Perpendicular

c)

Intersecting

97.

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

98.

What is the equation of a line when m = -3 and b = 5?

a)

y = -3x + 5

b)

y = -3x - 5

c)

y = 5x + 3

d)

y = -5x - 3

99.

What is the equation of a line with a slope of 2 and a y-intercept of -5?

a)

y = 5x - 2

b)

y = 2x - 5

c)

y = -2x - 5

d)

y = 2x + 5

100.
Name the x- and y-intercepts for the equation:
2x + y = 6
a)
(0, 3) and (6, 0)
b)
(0, -3) and (-6, 0)
c)
(3, 0) and (0, 6)
d)
(-3, 0) and (0, -6)
101.
Find the x and y intercepts
4x - 5y = 40
a)
x intercept is 10 
y intercept is 8
b)
x intercept is 10
y intercept is 20
c)
x intercept is 8
y intercept is 10
d)
x intercept is 10
y intercept is -8
102.
Give the y-interecept
3x + y = 5
a)
(-3, 0)
b)
(0,5)
c)
(-5, 0)
d)
(0, -3)
103.
What is the y-intercept in the equation x + 2y = 4
a)
(0, 0)
b)
(0, 2)
c)
(4, 0)
d)
(2, 0)
104.
What are the x- and y -intercepts on this graph?
a)
(0,5), (0,5)
b)
(5,0), (5,0)
c)
(5,0), (0,5)
d)
(0,0), (5,0)
105.
Which is the graph of y= -x + 2?
a)
A
b)
B
c)
C
d)
D
106.

Graph

a)
b)
c)
d)
107.

Which graph represents y=−32x+4y=-\frac{3}{2}x+4  

a)
b)
c)
d)
108.

Which graph is correct for y = -x + 3?

a)

A

b)

B

109.

Which graph represents 2x−5y=−102x-5y=-10  

a)
b)
c)
d)
110.

Which graph represents the equation  x+5y=5x+5y=5  

a)
b)
c)
d)
111.

Which graph represents 2x + 4y = 12?

a)
b)
c)
d)
112.

What table matches the graph?

a)
b)
c)
d)
113.

What table matches the graph?

a)
b)
c)
d)
114.

Which graph shows the correct line for the table?

a)
b)
c)
115.
The number of mosquitoes at the beginning of the summer was 4,000. The population of mosquitoes is expected to grow at a rate of 25% a month. How many mosquitoes will there be after 4 months?
a)
9766
b)
9006
c)
9765
d)
5433
116.
Write an equation that models the following situation:
Samantha's hair was known to grow very rapidly. It began at a length of 6 in and grew at a rate of 14% a week.
a)
y=6(0.14)x
b)
y=6(1+14)x
c)
y=6(1.14)x
d)
y=6(0.86)x
117.
Identify the y-intercept (initial value) in the function f(x)=13(.27)x
a)
(.27)x
b)
.27
c)
13
d)
3.51
118.
Which of the following functions shows an initial amount of $15 and an increase of 35% each year?
a)
y = 15(35)x
b)
y = 15(1.35)x
c)
y = 15(0.35)x
d)
y = 35(1.15)x
119.
Is the pictured graph growth, decay, or linear or none?  
a)
Exponential Growth
b)
Exponential Decay
c)
Linear
d)
None
120.
Is this exponential growth or decay?
a)
Growth
b)
Decay
121.

Which of the equations below represent this table?

a)

y=3⋅(36)x

b)

y=36⋅(3)x

c)

y=3⋅(⅓)x

d)

y=36⋅(⅓)x

122.

Given the following table of values, construct the function that represents the sequence.

a)

y = 3(4)x

b)

y = 3x + 4

c)

y = 4(3)x

d)

y = 4x + 3

123.

Write the equation of the exponential function for the given table.

a)

y = 1(4)x

b)

y = 1(1/4)x

c)

y = 4(4)x

d)

y = 1/4(1)x

124.

Write the equation of the exponential function for the given table.

a)

y = -2(1/2)x

b)

y = 2(1/2)x

c)

y = 2(2)x

d)

y = 1/2(2)x

125.

Write the equation of the exponential function for the given table.

a)

y = 2(1/3)x

b)

y = -2(1/3)x

c)

y = 1/3(2)x

d)

y = 2(-1/3)x

126.

Write the equation of the exponential function for the given graph.

a)

y = 1(4)x

b)

y = 4(1)x

c)

y = 1(1/4)x

d)

y = 1/4(1)x

127.

Write the equation of the exponential function for the given graph.

a)

y = 2(2)x

b)

y = 2(1)x

c)

y = 1(1/2)x

d)

y = 2x

128.

Write the equation of the exponential function for the given graph.

a)

y = 3x

b)

y = 2(1/3)x

c)

y = (1/3)x

d)

y = -1(1/3)x

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