Free Printable Quarter Exam 2 Review Precalc

1.

Rewrite log₂8 = 3 in exponential form.

a)

2⁸ = 3

b)

2³ = 8

c)

3² = 8

d)

8³ = 2

2.

Rewrite 3⁴ = 81 in logarithmic form.

a)

log₃4 = 81

b)

log₈₁3 = 4

c)

log₃81 = 4

d)

log₄81 = 3

3.

Solve for x.
3^x = 27

a)

2

b)

4

c)

3

d)

5

4.

What is the equation of the asymptote?

a)

x = -3

b)

x=5

c)

y= -3

d)

y=5

5.

Logarithmic functions are the inverse of...

a)

Linear Functions

b)

Exponential Functions

c)

Quadratic Functions

d)

Polynomial Functions

6.

Select all the transformations that apply.

y = -2 log _1/2x

a)

Vertical stretch by 2

b)

Vertical shrink by 1/2

c)

Reflection across the y-axis

d)

Reflection across the x-axis

7.

Write log_b(x/y) as two logs

a)

log_bx-log_by

b)

log_bx+log_by

c)

log_bx*log_by

d)

log_bx/log_by

8.

Write the expression as a single logarithm. Then simplify if possible.
log₅3 + log₅6 + log₅9

a)

log₅69

b)

log₅56

c)

log₅162

d)

log₅98

9.

The common logarithm has what base?

a)

10

b)

0

c)

e

d)

-e

10.

a)

1

b)

2

c)

0.5

d)

2.5

11.

Is the pictured graph growth, decay, or linear or none?

a)

Exponential Growth

b)

Exponential Decay

c)

Linear

d)

None

12.

What is the equation of this table?

a)

y=512(1/4)^x

b)

y=32(4)^x

c)

y=32(1/4)^x

d)

y=512(4)^x

13.

Write the exponential regression equation for the data.

a)

Y=8.16(2.7)^x

b)

Y=81.6(2.7)^x

c)

Y=8.16(.27)^x

d)

Y=8.16(27)^x

14.

Which type of regression model does the scatter plot appear to show?

a)

linear

b)

exponential

c)

quadratic

15.

In this 45-45-90 triangle, I have been given a leg, so to find the other leg I...

a)

Multiply that leg by 2

b)

Use the same length for the second leg

c)

Multiply that leg by √2

d)

Divide that leg by √2

16.

Which side is the long leg in this 30-60-90 triangle?

a)

4

b)

u

c)

v

17.

I have been given the long leg in this 30-60-90 triangle. How do I find the short leg?

a)

Multiply 7 by 2

b)

Multiply 7 by √3

c)

Divide 7 by 2

d)

Divide 7 by √3

18.

Find a.

a)

2√3

b)

2

c)

12

d)

6

19.

Find the length of Side BC.

a)

33

b)

24

c)

12

d)

29

20.

Find the length of side AB.

a)

10

b)

8

c)

6.1

d)

4.9

21.

Which Law would you use to solve for Angle B?

a)

Law of the Jungle

b)

Law of Cosines

c)

Law of the Gravity

d)

Law of Sines

22.

Amanda and Jamie are standing 25 feet apart and spot a bird in the sky between them. The angle of elevation from Amanda to the bird is 55, and from Jamie to the bird is 63. How far away is the bird from Amanda?

a)

25.23

b)

23.19

c)

22.15

d)

20.85

23.

Choose the correct ratio.

a)

sin(37)=x/14

b)

cos(37)=x/14

c)

tan(37)=x/14

d)

sin(37)=14/x

24.

Find side AB?

a)

20 m

b)

5 m

c)

11.54 m

d)

8.66 m

25.

Find the measure of the indicated angle (?) round to the nearest tenth.

a)

9.4

b)

55.2

c)

20.15

d)

19.4

26.

Solve for x.

a)

50.7

b)

50.1

c)

60.7

d)

61.0

27.

Which of the following is NOT
a solution to
sin θ = √(3) / 2 ?

a)

π / 3

b)

2π / 3

c)

5π / 3

d)

7π / 3

28.

Solve sinθ = ½ on θ∈[0, 2π)

a)

θ = π / 6, 7π / 6

b)

θ = π / 6, 5π / 6

c)

θ = 5π / 6, 7π / 6

d)

θ = 7π / 6, 11π / 6

29.

Solve equation for $0\le\theta<2\pi$ .
$-2+\cot\theta=-3$

a)

$\theta=\frac{3\pi}{4},\frac{4\pi}{3},\frac{7\pi}{4}$

b)

$\theta=\frac{3\pi}{4},\frac{7\pi}{4}$

c)

$\theta=\frac{\pi}{3},\frac{4\pi}{3}$

d)

$\theta=\frac{3\pi}{4},\frac{4\pi}{3}$

30.

Solve equation for $0\le\theta<2\pi$ .
$1=5-8\cos\theta$

a)

$\theta=\frac{\pi}{6},\frac{\pi}{3},\frac{11\pi}{6}$

b)

$\theta=\frac{\pi}{6},\frac{11\pi}{6}$

c)

$\theta=\frac{\pi}{6}$

d)

$\theta=\frac{\pi}{3},\frac{5\pi}{3}$

31.

Solve equation for $0\le\theta<2\pi$ .
$-2=-5+3\sec\theta$

a)

$\theta=0,\frac{\pi}{3}$

b)

$\theta=0$

c)

$\theta=\frac{\pi}{3},\frac{5\pi}{3}$

d)

$No\ Solution$

32.

Please select the correct solution

a)

csc² x

b)

cot² x

c)

sin² x

d)

sec² x

33.

Please select the correct solution
cos²x + sin ²x=

a)

1

b)

csc²x + sec²x

c)

sin²x

d)

1 - sin²x

34.

Please select the correct solution

a)

csc x

b)

sec x

c)

cot x

d)

tan x

35.

secθ =

a)

1/cosθ

b)

1/sinθ

c)

1/cotθ

d)

1/cscθ

36.

$\frac{\csc\theta}{\sin\theta}=$
What is the ratio equivalent to?

a)

$\csc^2\theta$

b)

$1$

c)

$\sin^2\theta$

d)

$there's\ no\ identity\ for\ this\ ratio$

37.

Simplify (sec²x)(1 - sin²x)

a)

-cos(x)

b)

1

c)

-1

d)

-sin(x)

38.

Simplify cot(x)tan(x) + cot²(x)

a)

-cot(x)

b)

csc²(x)

c)

sec(x)

d)

-csc²(x)

39.

a)

Van Wheels

b)

Vauxhall

c)

Volks Wagon

d)

Vee Dub

40.

What color does a reindeer's eyes turn in the winter?

a)

Red

b)

White

c)

Black

d)

Blue

Quarter Exam 2 Review Precalc

Total questions: 40

Worksheet time: 2hrs 47mins

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