Free Printable Pre-Calculus Makeup

1.

In the compound interest formula A=P(1+r)^t what does the A stand for?

a)

The amount of interest

b)

The total amount

c)

The interest rate

d)

The time

2.

In the compound interest formula A=P(1+r)^t what does the P stand for?

a)

The time

b)

The total amount

c)

The principal amount (original amount)

d)

The interest rate

3.

If you wanted to amount of interest an account has earned after being compounded annually. What would you have to do after you found "A" using the formula A=P(1+r)^t?

a)

Add A (total amount) plus P (original amount)

b)

Subtract A (total amount from P (original amount)

c)

Add P (original amount) plus A (total amount)

d)

Subtract P (original amount) from A (total amount)

4.

Daniel invests $360 in a bank account that is compounded annually for 8 years with an interest rate of 5.5%. What will be the total amount in the account after the 8 years is over?

a)

$625.88

b)

$950.12

c)

$315.45

d)

$552.49

5.

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

6.

Is this exponential growth or decay?

a)

Growth

b)

Decay

7.

A population of 1500 deer decreases by 1.5% per year. At the end of 10 years, there will be approximately 1290 deer in the population.

Which function can be used to determine the number of deer, y, in this population at the end of t years?

a)

$y=1500(1-0.015)^t$

b)

$y=1500(0.015)^t$

c)

$y=1500(1+0.015)^t$

d)

$y=1500(1.5)^t$

8.

There were 417 cell phones sold at an electronics store in January. Since then, cell phone sales at this store have increased at a rate of 3.75% per month.

At this rate of growth, which function can be used to determine the monthly cell phone sales x months after January?

a)

$f(x)=417(1-0.0375)^x$

b)

$f(x)=417(1-3.75)^x$

c)

$f(x)=417(1+0.0375)^x$

d)

$f(x)=417(1+3.75)^x$

9.

This is an example of:

a)

Linear Growth

b)

Linear Decay

c)

Exponential Growth

d)

Exponential Decay

10.

This is an example of: $f\left(x\right)=\ 25\ \left(\ 0.20\right)^x$

a)

Linear Growth

b)

Linear Decay

c)

Exponential Growth

d)

Exponential Decay

11.

Divide:

(4x² - 24x + 35) / (2x - 5)

a)

2x - 7

b)

2x - 12

c)

2x + 12

d)

2x + 7

12.

2x³ - 5x² + 3x + 7 ÷ x - 2

a)

2x³ - x² + x + 9

b)

2x² - x + 1

c)

2x² - x + 1 + 9/(x - 2)

d)

2x² - 9x - 15 - 23/(x - 2)

13.

Divide (4x³ - 2x² - 3) by (2x² - 1).

a)

2x - 1 + (2x - 4)/(2x² - 1)

b)

2x + 3 + (x - 3)/(2x² - 1)

c)

2x - 1

d)

2x + 3 + (3x-5)/(2x² - 1)

14.

(2x³ - 5x - 7) ÷ (x - 2)

a)

2x³ - 4x² + 3x - 13

b)

2x³ + 4x² +3x - 1

c)

2x² - 4x + 3 - 13/x-2

d)

2x² + 4x + 3 - 1/x-2

15.

Use synthetic division:
(2x³ - 5x - 7) ÷ (x - 2)

a)

2x³ - 4x² + 3x - 13

b)

2x³ + 4x² +3x - 1

c)

2x² - 4x + 3 - 13/x-2

d)

2x² + 4x + 3 - 1/x-2

16.

What is the proper way to write the answer for the following problem?

a)

2x³-x²-25x-12

b)

2x⁴-x³-25x²-12x+0

17.

Rewrite log_pt = m in exponential form.

a)

p^t = m

b)

t^m = p

c)

m^t = p

d)

p^m = t

18.

Change to Exponential Form:
log₆36 = 2

a)

2⁶=36

b)

6²=36

c)

36²=6

d)

36⁶=2

19.

Rewrite 3⁴ = 81 in logarithmic form.

a)

log₃4 = 81

b)

log₈₁3 = 4

c)

log₃81 = 4

d)

log₄81 = 3

20.

ln(e^W)

a)

e

b)

W

c)

e^W

d)

undefined

21.

Solve for b:
36^3b = 216^b+4

a)

6

b)

1

c)

4

d)

-4

22.

Solve the following for 'x';
log₆(3x - 2) = log₆(5x - 8)

a)

x = 3

b)

x = 2

c)

x = -1

d)

No Solution

23.

a)

f(x) = 2(2.3)^x - 2

b)

f(x) = 4(2.3)^x

c)

f(x) = 4(2.3)^x + 2

d)

f(x) = 5(2.3)^x - 3

24.

what is the value of $-2e^{3.2}$ rounded to the nearest thousandths?

a)

-77.967

b)

-49.065

c)

-0.082

d)

-0.081

25.

Which of the following is an equivalent expression for $2\log_43+\log_42?$

a)

$2\log_46$

b)

$\log_46$

c)

$\log_412$

d)

$\log_418$

26.

What is the simplified exression of $\frac{7\left(e^{3x}\right)^2}{14e^x}$

a)

$\frac{1}{2}e^{5x}$

b)

$\frac{1}{2}e^{8x}$

c)

$\frac{1}{2}e^{9x^2}-x$

d)

$\frac{7}{2}e^{8x}$

27.

Using the change of base rule, what is this logarithm equivalent to?

a)

A

b)

B

c)

C

d)

D

28.

Using the change of base rule, what is this logarithm equivalent to?

a)

A

b)

B

c)

C

d)

D

29.

Solve the log by using change of base )

log₄32

a)

8

b)

5/2

c)

2/5

d)

3/2

30.

Use the change of base rule to rewrite this problem:

log₇729

a)

log(7)/log(729)

b)

log(729)/log(7)

31.

Simplify the expression log₅(625)

a)

125

b)

620

c)

4

d)

5

32.

a)

A

b)

B

c)

C

d)

D

33.

a)

A

b)

B

c)

C

d)

D

34.

a)

A

b)

B

c)

C

d)

D

35.

What is the exact value of $\tan\ 30\degree$

a)

$\frac{\sqrt{3}}{3}$

b)

$\frac{\sqrt{2}}{2}$

c)

$\frac{\sqrt{3}}{2}$

d)

$\sqrt{3}$

36.

If you split the circle into 4 equal parts, how many degrees will each piece be?

a)

$90^o$

b)

$\frac{\pi}{4}$

c)

$90^o$

d)

$\frac{\pi}{2}$

37.

If you split a circle into 6 equal parts, how many degrees will each section be?

a)

30/pi^o

b)

60^o

c)

30^o

d)

60/pi^o

38.

What is 7π/6 radians in degrees?=

a)

225

b)

210

c)

270

d)

240

39.

Convert - 13π / 6 radians into degrees

a)

-330^o

b)

-390^o

c)

-300^o

d)

-315^o

40.

What is $\frac{11\pi}{6}$ radians in degrees?

a)

30

b)

330

c)

360

d)

300

41.

What is 225 degrees in radians?

a)

7π/4

b)

5π/4

c)

3π/4

d)

5π/3

42.

What is $\frac{2\pi}{3}$ radians in degrees?

a)

150

b)

120

c)

180

d)

30

43.

What is $225\degree$ in radians?

a)

$\frac{7\pi}{4}$

b)

$\frac{5\pi}{4}$

c)

$\frac{3\pi}{4}$

d)

$\frac{5\pi}{3}$

44.

How many radians does a circle have?

a)

360 degrees

b)

2pi radians

c)

pi radians

d)

^{2 radians}

45.

Convert π radians to degrees.

a)

90⁰

b)

180⁰

c)

360⁰

d)

60⁰

46.

a)

$\frac{\pi}{4}$

b)

$\frac{\pi}{2}$

c)

$\frac{\pi}{3}$

d)

$\frac{\pi}{6}$

47.

a)

$\frac{\pi}{4}$

b)

$\frac{\pi}{2}$

c)

$\frac{\pi}{3}$

d)

$\frac{\pi}{6}$

48.

a)

$95\degree$

b)

$100\degree$

c)

$115\degree$

d)

$120\degree$

49.

a)

$180\degree$

b)

$190\degree$

c)

$150\degree$

d)

$155\degree$

50.

a)

$225\degree$

b)

$210\degree$

c)

$195\degree$

d)

$235\degree$

51.

What is the length in radians of the arc of the circle from 0 degrees to 60 degrees?

a)

π/2

b)

π/3

c)

π/4

d)

π/6

52.

What is the measure of angle theta in degrees?

a)

120

b)

30

c)

45

d)

60

53.

sin π/4

a)

√2∕2

b)

1/2

c)

√3/2

d)

0

54.

cos 5π/6

a)

-1/2

b)

1/2

c)

√3/2

d)

-√3/2

55.

Based on your unit circle cos(30^o)=

a)

1

b)

1/2

c)

√3/2

d)

√2/2

56.

What is the exact coordinates of 3π/4 on the unit circle?

a)

(−√2∕2, √2∕2)

b)

(−√2∕2, −√2∕2)

c)

(−√3∕2, −√2∕2)

d)

(√2∕2, −√2∕2)

57.

Which of the following points is in the unit circle?

a)

(1 / 2 , 1 / 2)

b)

(-√2 / 2 , -√2 / 2)

c)

(√2 / 3 , -√2 / 3)

d)

(3 / 2 , 2 / 3)

58.

Find the point on the Unit Circle associated with the angle 5π/3

a)

(1 / 2 , 1 / 2)

b)

(-√3 / 2 , 1/2)

c)

(1 / 2 , -√3 / 2)

d)

(-√3 / 2 , -1/2)

59.

a)

csc x

b)

sec x

c)

cot x

d)

tan x

60.

What is cos 90°?

a)

½

b)

undefined

c)

1

d)

0

Pre-Calculus Makeup

Total questions: 60

Worksheet time: 3600secs

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