Free Printable PreCal Quarter Review Quiz

1.

Which of the following exponential equations is the formula for compound interest?

a)

b)

c)

d)

2.

What does the n stand for in this formula?

a)

Initial amount

b)

Final amount

c)

Rate

d)

Time

e)

The number of times compounded per year

3.

What does the r stand for in this formula?

a)

Initial amount

b)

Final amount

c)

Rate

d)

Time

e)

The number of times compounded per year

4.

Change 6.5% to a decimal

a)

.65

b)

6.5

c)

.065

d)

.065%

5.

What does the P stand for in this formula?

a)

Initial amount

b)

Final amount

c)

Rate

d)

Time

e)

The number of times compounded per year

6.

Quarterly means how many times a year?

a)

4

b)

2

c)

1

d)

6

7.

Annually means how many times a year?

a)

4

b)

2

c)

1

d)

6

8.

Semi-Annually means how many times a year?

a)

4

b)

2

c)

1

d)

6

9.

Monthly means how many times a year?

a)

4

b)

12

c)

52

d)

365

10.

Steve deposited $5,000 in a savings account that pays 4% interest compounded annually.

Which equation could be used to find the value of the account after 3 years?

a)

A = 5,000(1 + 4)³

b)

A = 5,000(1 + 0.04)³

c)

A = 5,000(1 + 0.4) x 3

d)

A = 5,000(0.04)³

11.

The Arnold's took out a loan for a home. The amount was $195,000 at a 4% interest rate compounded annually, how much will they have paid after 30 years?

a)

$412,489.75

b)

$529,586.31

c)

$632,462.51

d)

$640,891.12

12.

Karla invested $1,000 in savings bonds. If the bonds earn 6.75% interest compounded semi-annually.

Which exponential equation can be used to find how much money Karla will earn in 15 years?

a)

b)

c)

d)

13.

Karla invested $1,000 in savings bonds. If the bonds earn 6.75% interest compounded semi-annually, how much total will Karla earn in 15 years?

a)

$1,584.62

b)

$2,651.39

c)

$2,706.86

d)

$1,825.10

14.

Emily would like to buy some new furniture for her home. She decides to buy the furniture on credit with 9.5% interest compounded quarterly. If she spent $7,400, how much total will she have paid after 8 years.

a)

$15,415.94

b)

$15,683.28

c)

$15,927.56

d)

$16,109.05

15.

Kennedy won $3,000 from a radio contest. If she puts this money in a bank account that earns 2.9% interest compounded quarterly, how much total will she earn in 10 years?

a)

$4915.59

b)

$3933.28

c)

$2979.81

d)

$4005.09

16.

You borrowed $1,690 for 5 1/2 years at an interest of 5.7% compounded annually. How much extra did you pay by taking out the loan?

a)

$602.45

b)

$2,292.45

c)

$1,87.55

d)

$3,982.45

17.

Courtney saved up $2,200 working as a waitress over the summer. She put this money into a bank account that earned 5.2% interest and is compounded daily. How much will she have in her account at the end of 4 years?

a)

$2201.25

b)

$2694.55

c)

$2707.45

d)

$2708.63

18.

Principal: $5000
Interest Rate: 3.75%
Time: 25 years
Compounded Monthly
State the future account balance.

a)

$12712.31

b)

$12,749.30

c)

$12,657.59

d)

$12550.84

19.

Given an investment of $1,500:
Which investment would have a larger balance after 5 years?
Option 1 - 4% compounded monthly
Option 2 - 3.9% compounded daily.

a)

Option 1

b)

Option 2

20.

You take out a loan for $175,000. Which option will cost you less?

A) Simple Interest rate of 4.17% over 15 years

B) Compound Interest rate of 3.5% over 15 years

a)

Option A

b)

Option B

c)

they are both equal

21.

You deposit $2,500 in a savings account.

What is the difference in the amount of interest that will be paid in each situation?

Option A) Interest rate of 8.25% simple interest for 2 years

Option B) Interest rate of 6.5% compounded annually for 2 years

a)

$769.40

b)

$335.56

c)

$76.94

d)

$68.52

22.

Which formula is shown?

a)

Compounded n times per year

b)

Compounded continously

23.

Cora invested $400 at a rate of 35% for 8 months, compounded continuously. How much is her investment worth after 8 months?

a)

$520.07

b)

$505.12

c)

$460.11

d)

$7,643.74

24.

If $1,000 is invested at 16% interest, compounded continuously, for five years, what is the ending balance?

a)

$1,225,54

b)

$2,225.54

c)

$22,255.40

d)

$225.54

25.

You invest $1600 at an annual interest rate of 4.6% compounded continuously. How much will you have in the account after 4 years.

a)

$1,923.23

b)

$10,138.07

c)

$6,701.28

d)

$800.26

26.

Travis earned $180.72 doing odd jobs last summer and put it in a saving account that earns 15% interest compounded continuously. If he doesn't touch his money for 8 years, how much will he have?

a)

$400

b)

$500

c)

$553

d)

$600

27.

Hugo opened a savings account and deposited $800 as principal. The account earns 4% interest, compounded continuously. What is the balance after 5 years?

a)

$832.00

b)

$977.12

c)

$973.32

d)

$960.00

28.

Chelsea put $7500 into an account paying 5% compounded continuously. She now has $10,643.01. How long has the money been in the account?

a)

7 years

b)

6 years

c)

5 years

d)

4 years

29.

How much money do you need to invest at 2.8% compounded continuously in order to have $25,500 at the end of 8 years? Round your answer to the nearest dollar

a)

$20,383

b)

$2,715

c)

$27,147

d)

$2,038

30.

Jenny invests $7,530 in a savings account with a fixed annual interest rate compounded continuously. After 8 years, the balance reaches $12,169.04. What is the interest rate of the account?

a)

4%

b)

5%

c)

6%

d)

7%

31.

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

32.

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

33.

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

34.

Semi-Annually means how many times a year?

a)

4

b)

2

c)

1

d)

6

35.

Change 6.75% to a decimal.

a)

67.5

b)

.675

c)

675

d)

.0675

36.

Riley invested $1,000 in savings bonds. If the bonds earn 6.75% interest compounded semi-annually, how much total will Riley earn in 15 years?

a)

$1,584.62

b)

$2,651.39

c)

$2,706.86

d)

$1,825.10

37.

Olivia would like to buy some new furniture for her home. She decides to buy the furniture on credit with 9.5% interest compounded quarterly. If she spent $7,400, how much total will she have paid after 8 years.

a)

$15,415.94

b)

$15,683.28

c)

$15,927.56

d)

$16,109.05

38.

Principal: $5000
Interest Rate: 3.75%
Time: 25 years
Compounded Monthly
State the future account balance.

a)

$12712.31

b)

$12,749.30

c)

$12,657.59

d)

$12550.84

39.

Given an investment of $1,500:
Which investment would have a larger balance after 5 years?
Option 1 - 4% compounded monthly
Option 2 - 3.9% compounded daily.

a)

Option 1

b)

Option 2

40.

Shawn is buying a new Jet Ski for $12,500. He is considering 2 credit options. Option A offers a 6 year loan with 8.5% interest compounded quarterly, while Option B offers a 5 year loan with10% interest compounded annually.Which option is better and how much will he save?

a)

A) A; $495.21 raise money for charity

b)

B) A; $573.83 get attention

c)

C) B; $495.21 get on the news

d)

D) B; $573.83 do something crazy

41.

Monthly means how many times a year?

a)

4

b)

12

c)

52

d)

365

42.

Chelsea put $7500 into an account paying 5% compounded continuously. She now has $10,643.01. How long has the money been in the account?

a)

7 years

b)

6 years

c)

5 years

d)

4 years

43.

Bruno was given $2000 when he turned 3 years old. His parents invested it at a 2% interest rate compounded annually. No deposits or withdrawls were made. Which expression can be used to determine how much money Bruno had in the account when he turned 16?

a)

2000(1+0.02)¹³

b)

2000(1-0.02)¹³

c)

2000(1+0.02)¹⁶

d)

2000(1-0.02)¹⁶

44.

Emily's parents put $1,500 in her bank account for college tuition. At an interest rate of 8.25% compounded semi-annually, what will be the balance after 3 years?

a)

$2,273.50

b)

$1,514.08

c)

$2,040.23

d)

$1,911.70

45.

What is the correct definition of interest?

a)

money paid to you by a bank for the money you have in a bank account

b)

put into a bank account

c)

to borrow something

46.

What does the n stand for in this formula?

a)

Initial amount

b)

Final amount

c)

Rate

d)

Time

e)

The number of times compounded per year

47.

What does the r stand for in this formula?

a)

Initial amount

b)

Final amount

c)

Rate

d)

Time

e)

The number of times compounded per year

48.

What does the P stand for in this formula?

a)

Initial amount

b)

Final amount

c)

Rate

d)

Time

e)

The number of times compounded per year

49.

To earn as much interest as possible, you should open a savings account that earns ______ interest and has the _____ interest rate.

a)

compound; lowest

b)

simple ; lowest

c)

compound ; highest

d)

simple ; highest

50.

John just opened a savings account and wants to maximize the amount of interest he earns. Which of the following actions enable him to earn MORE interest?

a)

selecting an account with a higher interest rate

b)

leaving his money in the account for a long period of time

c)

transferring money into his checking account each month

d)

higher interest rate AND leaving money in for a longer time

51.

Write the percent as a decimal.
4.3%

a)

4.3

b)

.43

c)

.043

d)

4300

52.

Caiden earned $475 from mowing lawns last summer. He deposited this money in an account that pays an interest rate of 3.8% compounded annually. What will be his balance after 15 year?

a)

$827.52

b)

$831.10

c)

$839.45

d)

$846.80

53.

The compound interest formula is:

A = P(1 + r)^t

What does the A represent?

a)

The amount of interest earned.

b)

The amount of time that has passed.

c)

The total amount of money after a certain amount of time.

d)

The amount required to invest.

54.

If $1,000 is invested at 16% interest, compounded annually, for five years, what is the ending balance?

a)

$1,225,54

b)

$2,100.34

c)

$22,255.40

d)

$225.54

55.

the time has to be in _____________

a)

years

b)

months

c)

days

d)

seconds

56.

The A means ____________ in compound interest

a)

annual

b)

amount in account

c)

answer

d)

accrued debt

57.

interest is _________

a)

extra money paid for borrowing

b)

interesting

c)

Flocabulary songs

d)

time times rate

58.

Find the total amount in the account to the nearest cent if the interest is compounded annually.
$2750 at 8% for 2 years

a)

$220

b)

$440

c)

$660

59.

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

60.

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

61.

You borrowed $1,690 for 5 1/2 years at an interest of 5.7% compounded annually. How much extra did you pay by taking out the loan?

a)

$602.45

b)

$2,292.45

c)

$1,87.55

d)

$3,982.45

62.

Solve 8 = 2^5x+7

a)

⅘

b)

¼

c)

-⅘

d)

-¼

63.

Solve for x:
3^2x = 27

a)

3/2

b)

-2

c)

0

d)

5

64.

How many months have 28 days?

a)

4

b)

1

c)

12

d)

3

65.

Solve $\log1000=x$

a)

x = 10

b)

x = 3

c)

x = 4

d)

x = 100

66.

Solve: $\log_9\left(3x\right)=3$

a)

x = 3

b)

x = 81

c)

x = 243

d)

x = 9

67.

Solve: $\log_7\left(x-3\right)=2$

a)

x = 5

b)

x = 46

c)

x = 52

d)

x = 10

68.

Solve: $\log_4\left(2x\right)=2$

a)

x = 8

b)

x = 32

c)

x = 4

d)

x = 14

69.

Solve: $2^x=16$

a)

x = 4

b)

x = 8

c)

x = 5

d)

x = 3

70.

Solve: $\log_3x=5$

a)

x = 15

b)

x = 243

c)

x = 81

d)

x = 1235

71.

Solve: $6^x=5$

a)

x = 0.898

b)

x = 1.13

c)

x = 0.452

d)

x = 1.2

72.

Solve: $6^x\ +\ 3\ =\ 129$

a)

x = 21

b)

x = 2.69

c)

x = 2.43

d)

x = 3.5

73.

What is the base of Log(45)?

a)

10

b)

45

c)

x

d)

1

74.

Which of the follow is a function?

a)

b)

c)

d)

75.

Is the mapping a function?

a)

No

b)

Yes

76.

The definition of a (a) is that every input has exactly one output.

77.

Is this table a function? (Yes or No)

(a)

78.

The ________ is all possible x values.

a)

function

b)

range

c)

domain

d)

output

79.

f(n)=2n+1
g(n)=3n
Find f(n)+g(n)

a)

5n+1

b)

-5n+1

c)

-2n+1

d)

-6n-1

80.

f(n)=x²+1
g(n)=2x-5
Find f(n)-g(n)

a)

x²-2x+6

b)

-x²+2x+4

c)

-x²-2x-6

d)

x²-2x-4

81.

g(x) = 2x - 5

h(x) = 4x + 5

Find (g - h)(3)

hint: subtract g(x) and h(x), then plug in 3

a)

18

b)

16

c)

-16

d)

28

82.

Find the inverse of $f\left(x\right)=3x+2$

a)

$f^{-1}\left(x\right)=\frac{x-2}{3}$

b)

$f^{-1}\left(x\right)=\frac{x-3}{2}$

c)

$f^{-1}\left(x\right)=\frac{3x}{2}$

d)

$f^{-1}\left(x\right)=\frac{2+x}{3}$

83.

Find the inverse of $f\left(x\right)=-5x-7$

a)

$f^{-1}\left(x\right)=\frac{5x+7}{-7}$

b)

$f^{-1}\left(x\right)=\frac{x+5}{7}$

c)

$f^{-1}\left(x\right)=\frac{x+7}{-5}$

d)

$f^{-1}\left(x\right)=\frac{7}{-5+x}$

84.

Find the inverse of $f\left(x\right)=\frac{1}{2}x+8$

a)

$f^{-1}\left(x\right)=2x+8$

b)

$f^{-1}\left(x\right)=2x-16$

c)

$f^{-1}\left(x\right)=2\left(x+8\right)$

d)

$f^{-1}\left(x\right)=\frac{1}{2}x-16$

85.

Find the inverse of $f\left(x\right)=x^2+5$

a)

$f^{-1}\left(x\right)=x-25$

b)

$f^{-1}\left(x\right)=\sqrt{5+x}$

c)

$f^{-1}\left(x\right)=\sqrt{x-5}$

d)

$f^{-1}\left(x\right)=\sqrt{x}-5$

86.

Find the inverse of $f\left(x\right)=x^2-4$

a)

$f^{-1}\left(x\right)=\sqrt{x+16}$

b)

$f^{-1}\left(x\right)=\sqrt{x-4}$

c)

$f^{-1}\left(x\right)=\sqrt{x}+4$

d)

$f^{-1}\left(x\right)=\sqrt{x+4}$

87.

What's the name of the inverse of g(x)?

a)

f(x)

b)

f^-1(x)

c)

y

d)

g^-1(x)

88.

f(x)=3x+5

g(x)=x²

f(x)+g(x)

a)

4x²+5

b)

3x³⁺⁵

c)

x²+3x+5

d)

x²+8x

89.

$f\left(x\right)=\frac{1}{x-5}$ Find the domain of

a)

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

b)

$\left[5,\infty\right)$

c)

$\left(-\infty,5\right]$

d)

$\left(-\infty,\infty\right)$

90.

Write the domain of $f\left(x\right)=\frac{x}{x^2-16}$

a)

$\left(-\infty,0\right)\left(4,\infty\right)$

b)

$\left[4,\infty\right)$

c)

$\left(-\infty,0\right)\left(0,4\right]$

d)

$\left(-\infty,-4\right)\left(-4,4\right)\left(4,\infty\right)$

91.

Find the domain of $g\left(x\right)=\sqrt{2x-4}$

a)

$\left(-\infty,2\right)\left(2,\infty\right)$

b)

$\left[2,\infty\right)$

c)

$\left(-\infty,2\right]$

d)

$\left(-\infty,\frac{1}{2}\right)\left(\frac{1}{2},\infty\right)$

92.

What is the domain of the function?

a)

(-∞, 5) U (5, ∞)

b)

(-∞, 4) U (4, ∞)

c)

(-∞, -4) U (-4, 5) U (5, ∞)

d)

(-∞, -4] U (-4, 5) U [5, ∞)

93.

a)

Function

b)

Not a function

94.

a)

Function

b)

Not a Function

95.

All of the x values or inputs are called what?

a)

Domain

b)

Range

c)

Relation

d)

Function

96.

What is f(4) if f(x) = 2x - 2?

a)

6

b)

19

c)

12

d)

22

97.

The rational function, $y=\frac{1}{x+7}$ has a vertical asymptote at...

a)

y = -7

b)

x = 7

c)

y = 0

d)

x = -7

98.

Which rational function has a vertical asymptote at x = -3

a)

$y=\frac{1}{x-3}$

b)

$y=\frac{1}{x+3}$

c)

$y=\frac{1}{3}$

d)

$y=\frac{3}{x}$

99.

What's the horizontal asymptote of the function?

a)

y = 0

b)

No horizontal asymptote

c)

y = 1

d)

y = 9

100.

What's the horizontal asymptote of the function?

$f\left(x\right)=\frac{3x+2}{x^2+1}$

a)

y = 3

b)

No horizontal asymptote

c)

y = 0

d)

y = 2

101.

Find the horizontal asymptote.

a)

None

b)

y=-2

c)

y=2

d)

y=0

102.

How do you determine the Horizontal Asymptote?

a)

replace all x-values with 0

b)

replace the y-value with 0 or make the numerator equal 0

c)

set denominator equal to 0

d)

compare the degrees of the numerator and denominator

103.

How do you find the x-intercept?

a)

replace all x-values with 0

b)

replace the y-value with 0 or make the numerator equal 0

c)

set denominator equal to 0

d)

compare the degrees of the numerator and denominator

104.

How do you find the y-intercept?

a)

replace all x-values with 0

b)

replace all y-values with 0

c)

set denominator equal to 0

d)

compare the degrees of the numerator and denominator

105.

A vertical asymptote is found by setting the _________= to zero and solving for x

a)

Numerator

b)

Denominator

c)

Right side

d)

Left side

106.

Find the horizontal asymptote:

a)

y = 0

b)

y = 1

c)

None

d)

y = 3/2

107.

What is the horizontal asymptote to this function?

a)

y=4

b)

y=0

c)

y=-2

d)

y=1

108.

What are the x-intercepts?

a)

x= 2/3

b)

x= 4, x = -2

c)

x= -8, x = 1

d)

x= -4, x = 2

109.

What is the X-Intercept?

a)

x= 0

b)

x= 4

c)

x= 5

d)

x= -5

110.

What's the vertical asymptote of the function?

a)

x = -9

b)

x = 9

c)

x = 3 , x = -3

d)

x = 3

111.

What's the vertical asymptote of the function?

a)

x = 5

b)

x = 0

c)

x =5 , x = -5

d)

x = 25

112.

Find the horizontal asymptote.

a)

y = -2

b)

none

c)

y = 0

d)

y = 1/2

113.

Find the Vertical Asymptotes

a)

x= 0, -2

b)

x= 2

c)

x= -3, 2

d)

x = -3,1

114.

Solve (Quadratic)

a)

-4, 2

b)

-2, 4

c)

-16

d)

-4

115.

Solve (Quadratic)

a)

-2, 4

b)

-8

c)

±8

d)

No real solution

116.

Solve (Quadratic)

a)

-3, 4

b)

3, 4

c)

-4, -3

d)

-3

117.

Solve using the Quadratic Formula:

$2x^2-x-3=0$

a)

$x=-\frac{3}{2},\ 1$

b)

$x=-1,\ \frac{3}{2}$

c)

$x=-\frac{3}{2},\ -1$

d)

$x=1,\ \frac{3}{2}$

118.

g(x)=f(x-1)-5
Describe the transformation to f(x) that results in g(x).

a)

f(x) has been translated to the left one and down five.

b)

f(x) has been translated to the right one and down five.

c)

f(x) has been translated to the left one and up five.

d)

f(x) has been translated to the right one and up five.

119.

Which transformation transforms the graph of
f(x) = x² to the graph of g(x) = (x + 4)²?

a)

a vertical translation 4 units up

b)

a vertical translation 4 units down

c)

a horizontal translation 4 units to the left

d)

a horizontal translation 4 units to the right

120.

Describe the transformation that occurred

p(x) = f(x + 3)

a)

Right 3 units

b)

Vertical Stretch

c)

Up 3 units

d)

Left 3 units

121.

Describe the transformation that occurred.

h(x) = f(x) + 2

a)

up 2 units

b)

left 2 units

c)

Vertical Strech

d)

right 2 units

122.

Describe the transformation that occurred.

w(x) = f(x - 7)

a)

Down 7

b)

Up 7

c)

Right 7

d)

vertical compression

123.

Describe the transformation that occurred

m(x) = f(x + 1)

a)

Left 1 Unit

b)

Right 1 unit

c)

vertical stretch

d)

up 1 unit

124.

Describe the transformation that occurred

k(x) = f(x) - 9

a)

vertical compression

b)

Down 9 units

c)

Left 9 units

d)

Right 9 Units

125.

Describe the transformation that occurred

g(x) =2f(x)

a)

Up 2 units

b)

vertical compression

c)

vertical stretch

d)

Right 2 Units

126.

Describe the transformation that occurred

h(x) = 1/5f(x)

a)

Up 5 Units

b)

vertical compression

c)

vertical stretch

d)

Down 5 Units

127.

Describe the transformation that occurred

t(x) = f(x) - 1

a)

Right 1 Unit

b)

Down 1 Unit

c)

vertical compression

d)

vertical stretch

128.

Write an absolute value function given the following transformations from the parent function:

Reflection across the x-axis

Vertical shift right 2 units

Horizontal shift down 7 units

a)

$y=-|x+2|-7$

b)

$y=|x-2|-7$

c)

$y=-|x-2|-7$

d)

$y=-|x-2|+7$

129.

Given f(x) = (x + 6)² - 2 , how did we transform from the parent function?

a)

Horizontal shift left 6, vertical shift up 2

b)

Horizontal shift left 6, vertical shift down 2

c)

Horizontal shift right 6, vertical shift down 2

d)

Horizontal shift right 6, vertical shift up 2

130.

Which of the following describes the horizontal and vertical translations of the following function:

$f(x)=|x+4|-9$

a)

Left 4, up 9

b)

Left 4, down 9

c)

Right 4, up 9

d)

Right 4, down 9

131.

What are the transformations of this functions compared to the parent function?

a)

Shifted right 5, shifted down 2, and reflected over the x-axis

b)

Reflected over the x-axis, vertical stretch, and shifted right 5

c)

Reflected over the x-axis, vertical stretch, and shifted left 5

d)

Shifted right 5, shifted down 2

132.

$f\left(x\right)=-\left(x+2\right)^3-1$
What are the transformations? There is more than one answer.

a)

left 2

b)

right 2

c)

up 1

d)

down 1

e)

reflection

PreCal Quarter Review Quiz

Total questions: 132

Worksheet time: 7hrs 36mins

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