Pre-Test
Name
Date
1. The formula for an account that earns simple interest is Pt 5 P0 1 (P0 ? r)t where Pt represents the
balance in the account after t years, P0 represents the initial deposit, and r represents the interest
rate. The formula for an account that earns compound interest is Pt 5 P0 ? (1 1 r)t where Pt represents
the balance in the account after t years, P0 represents the initial deposit, and r represents the
interest rate.
a. Complete the table below for an initial deposit of $20,000 at a rate of 2.5%. Round each amount
to the nearest dollar.
Time
6 months
1 year
5 years
20 years
Simple Interest Balance
Compound Interest Balance
b. Determine the rate of change for each function. Show your work or explain your reasoning.
© 2012 Carnegie Learning
5
c. Compare the rates of change. What does this tell you about the graphs of the functions?
Explain your reasoning.
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page 2
2. Identify each of the following for the function f(x) 5 3 ? 4x. Then graph the function.
a. x-intercept(s)
b. y-intercept
c. asymptote
d. domain
e. range
f. interval(s)of increase/decrease
3. Write the equation of each function after the translation described.
a. f(x) 5 210x after a translation 5 units to the right
b. g(x) 5 3x after a translation 4 units up
c. h(x) 5 2x2 after a translation 2 units left and 1 unit down
4. Describe each graph in relation to its basic function.
5
b. Compare f(x) 5 bx 1 1 to the basic function h(x) 5 bx.
© 2012 Carnegie Learning
a. Compare f(x) 5 (x 1 3)2 to the basic function h(x) 5 x2.
c. Compare f(x) 5 b–x to the basic function h(x) 5 bx.
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Pre-Test
page 3
Name
Date
5. Write each expression in rational exponent form.
3
 
a. ​
 10 ​
4
 
b.​
 d ​
6. Write each expression in radical form.
__
​ 1 ​ 
a.​11​2​
__
​ 1 ​ 
b.​a​5​
7. Solve each exponential equation for x.
a. 5x 1 3 5 15,625
1   ​ 5 4,096
b.​ ____
​4x21
​ ​
© 2012 Carnegie Learning
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898 Chapter 5 Assessments
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Post-Test
Name
Date
1. The formula for an account that earns simple interest is Pt 5 P0 1 (P0 ? r)t where Pt represents the
balance in the account after t years, P0 represents the initial deposit, and r represents the interest
rate. The formula for an account that earns compound interest is Pt 5 P0 ? (1 1 r)t where Pt represents
the balance in the account after t years, P0 represents the initial deposit, and r represents the
interest rate.
a. Complete the table below for an initial deposit of $10,000 at a rate of 1.5%. Round each amount
to the nearest dollar.
Time
6 months
1 year
5 years
20 years
Simple Interest Balance
Compound Interest Balance
b. Determine the rate of change for each function. Show your work or explain your reasoning.
© 2012 Carnegie Learning
5
c. Compare the rates of change. What does this tell you about the graphs of the functions?
Explain your reasoning.
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Post-Test
page 2
2. Identify each of the following for the function f(x) 5 24 ? 2x. Then graph the function.
a. x-intercept(s) b. y-intercept
c. asymptote
d. domain e. range
f. interval(s) of increase/decrease
3. Write the equation of each function after the translation described.
a. f(x) 5 5x after a translation 3 units to the left
b. g(x) 5 2x after a translation 6 units down
c. h(x) 5 4x2 after a translation 5 units right and 3 units up
4. Describe each graph in relation to its basic function.
5
b. Compare f(x) 5 (b 2 2)x to the basic function h(x) 5 bx.
© 2012 Carnegie Learning
a. Compare f(x) 5 x2 2 7 to the basic function h(x) 5 x2.
c. Compare f(x) 5 2bx to the basic function h(x) 5 bx.
900 Chapter 5 Assessments
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Post-Test
page 3
Name
Date
5. Write each expression in rational exponent form.
4
 
a.​
 6 ​
3
2
b.​
​ ​ ​ 
 ​x
6. Write each expression in radical form.
__
​ 1 ​ 
a.​7​3​
__
​ 1 ​ 
b.​6​9​
7. Solve each exponential equation for x.
a. 34x 5 531,441
b. 5x 1 1 5 ____
​  1   ​ 
625
© 2012 Carnegie Learning
5
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5
902 Chapter 5 Assessments
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Mid-Chapter Test
Name
Date
1. Using coordinate notation, write the function f(x) = x – 3 as a vertical translation.
2. The formula for an account that earns compound interest is Pt 5 P0 ? (1 1 r)t, where Pt represents the
balance in the account after t years, P0 represents the initial amount of the deposit, and
r represents the interest rate. Carrie is considering depositing $1,480 into an account that pays
compound interest. How much will be in her account in each situation? Round to the nearest cent.
a. 1.9% for ten years
b. 3.6% for fifteen years
3. Write the equation of each function after the translation described.
a. f(x) 5 x after a translation 1 unit down
5
b. g(x) 5 x after a translation 2 units up
© 2012 Carnegie Learning
3
c. h(x) 5 x2 after a translation 2 units left and 5 units down
4. The revenue for a company this year was $750,000. Each year the revenue increases at a rate of 0.75%
per year. Write a function that represents the company’s revenue as a function of time in years.
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Mid-Chapter Test
page 2
5. Write a statement that correctly compares the y-intercepts of the functions g(x) 5 x3 1 8 and
h(x) 5 x3 2 8.
6. Write the function f(x) 5 9x 2 2 after each vertical translation.
a. 4 units down
b. 8 units up
7. The formula for an account that earns simple interest is Pt 5 P0 1 (P0 ? r)t, where Pt represents the
balance in the account after t years, P0 represents the initial deposit, and r represents the interest rate.
Gregory deposits $900 into an account that earns 1.5% simple interest annually. How much will be in
his account after one year?
(  )
x
8. What is the range of the function f(x) 5 ​​__
​ 2 ​   ​​​1 2?
3
9. What is the y-intercept of the function f(x) 5 0.4x 1 2?
5
10. Describe each graph in relation to its basic function.
b. Compare f(x) 5 (b 2 1)x to the basic function g(x) 5 bx.
© 2012 Carnegie Learning
a. Compare f(x) 5 x3 1 9 to the basic function g(x) 5 x3.
c. Compare f(x) 5 (x 2 1)2 2 2 to the basic function g(x) 5 x2.
904 Chapter 5 Assessments
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Mid-Chapter Test
Name
page 3
Date
11. Write the equation for the line that represents the horizontal asymptote of each function.
a. f(x) 5 25x
b. f(x) 5 16(1 1 0.5)x 1 3
12. The expenses for a company this year were $74,000. Write a function that represents the company’s
expenses as a function of time in years for each situation.
a. expenses increase at a rate of 2.3% per year
b. expenses decrease at a rate of 1.7% per year
© 2012 Carnegie Learning
5
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906 Chapter 5 Assessments
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End of Chapter Test
Name
Date
1. Carlos has been collecting baseball cards for the past few years. The number of total cards
in his collection each year is as follows.
• 50 cards the first year
• 100 cards the second year
• 150 cards the third year
• 200 cards the fourth year
Write a function that represents the number of cards as a function of the number of years, t.
(  )
x
2. Identify each of the following for the function y 5 ​​__
​ 1 ​   ​​​.
3
a. x-intercept(s) b. y-intercept
c. asymptote
d. domain e. range
f. interval(s) of increase/decrease
3. Kendra graphed the function f(x) 5 9x.
a. Write a function that is a reflection of the function about the vertical line x 5 0.
5
© 2012 Carnegie Learning
b. Write a function that is a reflection of the function about the horizontal line y 5 0.
4. Write each fraction as a single power.
1   ​ 
a.​ _______
10,000
1   ​ 
b.​ __________
1,000,000
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End of Chapter Test
page 2
5. Write the equation of each function after the translation described.
a. f(x) 5 2x after a translation 6 units up
b. g(x) 5 __
​ 1 ​ x3 after a translation 7 units down
2
6. Describe each graph in relation to its basic function.
a. Compare f(x) 5 (x 2 2)3 – 1 to the basic function g(x) 5 x3.
b. Compare f(x) 5 2x2 to the basic function g(x) 5 x2.
7. Write each expression in radical form.
__
​ 1 ​ 
__
​ 7 ​ 
a.​8​3​
b.​c​8​
__
​ 1 ​ 
c.​15d​4​
2 ​ 
​ __
d.​(9g)​5​
8. Using coordinate notation, write each function as a vertical translation.
a. f(x) 5 x 1 1
b. f(x) 5 x 2 7
9. Malea bought the following numbers of stickers each day.
5
• one sticker on the first day
• sixteen stickers on the third day
• sixty-four stickers on the fourth day
Write a function that represents the number of stickers as a function of the number of days, t.
10. Write each expression in rational exponent form.
908 ___
5
 
a.​
 3 ​
b.​√10 ​ 
7
c.​
4​6​ ​ 
 ​1
3 5
d.​
​ ​ ​ 
 ​x
© 2012 Carnegie Learning
• four stickers on the second day
Chapter 5 Assessments
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End of Chapter Test
page 3
Name
Date
11. The velocity v in meters
per second (m/s) of a free-falling object that has fallen h meters is given
_______
by the equation v 5 √
​ 2(9.8)h ​ 
. If an object is dropped from a height of 75 meters, what is the velocity
of the object when it hits the ground? Round to the nearest tenth.
12. Solve each exponential equation for x.
a. 5x 2 2 5 3,125
1
b. 322x 5 ____
​     ​ 
729
1   ​ 5 216
c.​ _____
6x 1 2
1   ​ 5 ______
d.​ _____
​  1   ​ 
7x 2 1 2,401
13. The expenses for a company this year were $125,000. The expenses have been increasing at a
rate of 3.5% per year. Write a function that represents the company’s expenses as a function of
time in years.
© 2012 Carnegie Learning
5
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© 2012 Carnegie Learning
5
910 Chapter 5 Assessments
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Standardized Test Practice
Name
Date
1. The formula for an account that earns simple interest is Pt 5 P0 1 (P0 ? r)t, where Pt represents the
balance in the account after t years, P0 represents the initial deposit, and r represents the interest
rate. Paul deposited $500 into an account that earned 4% simple interest annually. How much was in
his account after one year?
a. $20
b. $480
c. $520
d. $540
2. Which represents the function f(x) 5 x 1 1 as a vertical translation one unit up using coordinate notation?
a. (x, y 2 1)
b. (x, y 1 1)
c. (x 2 1, y)
d. (x 1 1, y)
3. The profit for a company this year was $100,000. Each year the profit increases at a rate of 1.2% per
year. Which function shows the company’s profit as a function of time in years?
a. f(t) 5 100,000 ? 0.012t
b. f(t) 5 100,000(1 1 1.2)t
c. f(t) 5 100,000(1 1 0.012)t
d. f(t) 5 100,000 ? 1.2t
4. What is ____
​  1   ​ written as a single power?
100
a. 1023
5
b. 1022
© 2012 Carnegie Learning
c. 102
d. 103
5. Which shows the function f(x) 5 2x4 after a horizontal translation 2 units left?
a. f(x) 5 2x4 1 2
b. f(x) 5 2x4 2 2
c. f(x) 5 2(x 1 2)4
d. f(x) 5 2(x 2 2)4
( 4 )
x
6. What is the range of the function f(x) 5 ​​__
​ 1 ​ ​​​?
a. x , 0
b. x . 0
c. f(x) , 0
d. f(x) . 0
Chapter 5 Assessments 8047_Assess_Ch05.indd 911
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Standardized Test Practice
page 2
7. The graph of f(x) 5 x3 is shown. Which shows 2f(x)?
y
8
6
4
2
0
28 26 24 22
2
4
6
8
x
22
24
26
28
b.
y
y
8
8
6
6
4
4
2
2
0
28 26 24 22
2
4
6
8
x
8
2
4
6
8
x
28
28
912 6
26
26
y
y
d.
8
8
6
6
4
4
2
2
0
28 26 24 22
4
24
24
c.
2
22
22
5
0
28 26 24 22
2
4
6
8
x
0
28 26 24 22
22
22
24
24
26
26
28
28
x
© 2012 Carnegie Learning
a.
Chapter 5 Assessments
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Standardized Test Practice
page 3
Name
Date
8. Which correctly compares the y-intercepts of the functions a(x) 5 x2 1 2 and b(x) 5 x2 2 2 to the
basic function c(x) 5 x2?
a. The y-intercept of a(x) 5 x2 1 2 is 2 units below the y-intercept of the basic function.
The y-intercept of b(x) 5 x2 2 2 is 2 units below the y-intercept of the basic function c(x).
b. The y-intercept of a(x) 5 x2 1 2 is 2 units above the y-intercept of the basic function.
The y-intercept of b(x) 5 x2 2 2 is 2 units above the y-intercept of the basic function c(x).
c. The y-intercept of a(x) 5 x2 1 2 is 2 units above the y-intercept of the basic function.
The y-intercept of b(x) 5 x2 2 2 is 2 units below the y-intercept of the basic function c(x).
d. The y-intercept of a(x) 5 x2 1 2 is 2 units below the y-intercept of the basic function.
The y-intercept of b(x) 5 x2 2 2 is 2 units above the y-intercept of the basic function c(x).
9. What is the solution to the exponential equation ___
​  1  ​ 5 2x 1 1?
64
a. x 5 27
b. x 5 26
c. x 5 25
d. x 5 5
10. Which is a reflection of the function f(x) 5 23x about the horizontal line y 5 0?
a. g(x) 5 232x
b. g(x) 5 32x
c. g(x) 5 23x
d. g(x) 5 3x
5
11. Thomas counts the number of cars he sees in the parking lot of the school each hour of the day.
He counted the following number of cars the first four hours of the day.
© 2012 Carnegie Learning
• 12 cars the first hour
• 24 cars the second hour
• 36 cars the third hour
• 48 cars the fourth hour.
Which function represents the number of cars as a function of the number of hours, h?
a. f(h) 5 12h
b. f(h) 5 12(h 2 1)
c. f(h) 5 12h
d. f(h) 5 12h 2 1
Chapter 5 Assessments 8047_Assess_Ch05.indd 913
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Standardized Test Practice
page 4
12. The average attendance at a local high school this year was 950 students. Each year the attendance
decreases at a rate of 0.5% per year. What will the average attendance be in three years?
a. 945
b. 941
c. 936
d. 893
3
? 
13. What is ​
 64 ​
a. 3
b. 4
c. 21
d. 192
14. Which shows the function f(x) 5 7x after a vertical translation 4 units down?
a. g(x) 5 7x 1 4
b. g(x) 5 7x 2 4
c. g(x) 5 4x 1 7
d. g(x) 5 4x 2 7
15. Taylor earned the following amount each day.
• one dollar of the first day
• three dollars on the second day
• nine dollars on the third day
• twenty-seven dollars on the fourth day
5
Which function represents Taylor’s daily earnings as a function of the number of days, t.
a. f(t) 5 3t
c. f(t) 5 3t 2 1
d. f(t) 5 3t
16. What is the equation for the line that represents the horizontal asymptote of the function
f(t) 5 25,000(1 1 0.025)x?
a. x 5 0
b. y 5 0
© 2012 Carnegie Learning
b. f(t) 5 3t 1 1
c. x 5 25,000
d. y 5 25,000
914 Chapter 5 Assessments
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Standardized Test Practice
Name
page 5
Date
17. What is the solution to the exponential equation 81 5 3x 2 1?
a. x 5 23
b. x 5 3
c. x 5 4
d. x 5 5
18. The formula for an account that earns compound interest is Pt 5 P0 ? (P0 1 r)t, where Pt represents
the balance in the account after t years, P0 represents the initial deposit, and r represents the interest
rate. Brenda deposited $225 into an account that earns 7.25% compound interest. How much will be
in her account after six years? Round to the nearest cent.
a. $342.43
b. $241.31
c. $231.44
d. $16.31
19. Which equation has the following four characteristics?
• is an exponential function.
• is continuous.
• is increasing.
• is translated 5 units up from f(x) 5 3x.
a. g(x) 5 3x 1 5
5
b. g(x) 5 3x 2 5
c. g(x) 5 3x 1 5
© 2012 Carnegie Learning
d. g(x) 5 3x 2 5
20. The velocity v in meters
per second (m/s) of a free-falling object that has fallen h meters is given
_______
by the equation v 5 √
​ 2(9.8)h ​ 
. If an object is dropped from a height of 62 meters, what is the velocity
of the object when it hits the ground? Round to the nearest tenth.
a. 4.4 m/s
b. 11.1 m/s
c. 34.9 m/s
d. 1215.2 m/s
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5
916 Chapter 5 Assessments
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