Free Printable Quarter 2 Review Precalc

1.

Select the graph that show the corresponding vertical & horizontal asymptotes to this function

a)

b)

c)

d)

2.

What's the horizontal asymptote of the function?

a)

y = 0

b)

No horizontal asymptote

c)

y = 2

d)

y = 4

3.

What's the horizontal asymptote of the function?

a)

y = 0

b)

No horizontal asymptote

c)

y = 1

d)

y = 9

4.

What's the horizontal asymptote of the function?

a)

y = 0

b)

No horizontal asymptote

c)

y = 1/2

d)

y = 1

5.

What's the vertical asymptote of the function?

a)

x = -9

b)

x = 9

c)

x = 3 , x = -3

d)

x = 3

6.

What's the vertical asymptote of the function?

a)

x = 5

b)

x = 0

c)

x =5 , x = -5

d)

x = 25

7.

Select the graph that show the corresponding vertical & horizontal asymptotes to this function

a)

b)

c)

d)

8.

What are the asymptotes

a)

x=1, x= 2, y =1, y= 2

b)

x= 2, x=-2, y = 1

c)

x=2 y =-1

d)

x=1 y =2, y =-2

9.

Find the x-intercept(s), if one exists.

a)

(1, 0)

b)

(-1, 0)

c)

(1, 0), (-1, 0)

d)

(0, 0), (1, 0)

10.

What is the domain?

a)

x ≠ 3

b)

x ≠ -1

c)

x ≠ 3, -1

d)

x ≠ 3, 1

11.

What are the coordinates of the y-intercept, if one exists.

a)

(0, 0)

b)

(0, 1)

c)

(0, -1)

d)

there isn't one

12.

What is the equation of the rational function graphed?

a)

b)

c)

d)

13.

a)

1/7

b)

47/36

c)

7

d)

23

14.

Solve by cross-multiplying.

a)

x = -1, 5

b)

No Solution

c)

x = -4, 5

d)

x= -4

15.

Solve by using the LCD.

a)

x = 1

b)

x = -3

c)

x = 0

d)

x = 3

16.

Solve by using the LCD.

a)

x = 1

b)

x = 2, 4

c)

x = 0, 5

d)

x = -5, -1

17.

Simplify $\frac{7n}{3n-18}+\frac{n+3}{3}$

a)

$\frac{8n+3}{3n-15}$

b)

$\frac{n^2+4n-18}{3\left(n-6\right)}$

c)

$\frac{7\left(n+3\right)}{3\left(3n-18\right)}$

d)

$\frac{7n+n+3}{3n-18+3}$

18.

$\frac{4x}{x-5}-\frac{3}{x-6}$ Simplify

a)

$\frac{4x^2-27x+15}{\left(x-6\right)\left(x-5\right)}$

b)

$\frac{4x-3}{2x+1}$

c)

$\frac{4x^2-27x+21}{\left(x-6\right)\left(x-5\right)}$

d)

$\frac{4x^2+21x+15}{\left(x-5\right)\left(x+6\right)}$

19.

$2-\frac{7}{x^2+x-30}$ Simplify

a)

$\frac{2x^2-2x-67}{\left(x-6\right)\left(x+5\right)}$

b)

$\frac{-5}{\left(x+6\right)\left(x-5\right)}$

c)

$\frac{-5}{x^2+x-30}$

d)

$\frac{2x^2+2x-67}{\left(x+6\right)\left(x-5\right)}$

20.

Simplify $\frac{1}{n+5}\times\frac{n^2+2n-15}{n-8}$

a)

$\frac{n-3}{n-8}$

b)

$\frac{n-3}{\left(n+5\right)\left(n-8\right)}$

c)

$\frac{n^2+2n-15}{\left(n+5\right)\left(n-8\right)}$

d)

$\frac{n^2+2n-14}{2n-3}$

21.

$\frac{m^2+m-30}{m^2+13m\ +42}\div\frac{m-2}{m+7}$ Simplify

a)

$\frac{m-5}{m-2}$

b)

$\frac{\left(m-5\right)\left(m-2\right)}{\left(m+7\right)^2}$

c)

$\frac{m^2+2m-32}{m^2+14m+49}$

d)

$\frac{-5}{2m^2}$

22.

$\frac{2}{8m^3-64m^2}\div\frac{1}{8m^2}$

a)

$\frac{2}{m-64m^2}$

b)

$\frac{16m^2}{8m^2\left(m-8\right)}$

c)

$\frac{2}{64m^4\left(m-8\right)}$

d)

$\frac{2}{m-8}$

23.

$\frac{1}{5n^2}+\frac{2}{5n}=\frac{n+5}{n^2}$ Solve. Check for extraneous solutions.

a)

$n\ =\ 4$

b)

$n\ =\ 8$

c)

$n\ =\ 2$

d)

$n=-8$

24.

Find the equation of the model of best fit for the set of data:

a)

f(x) = 2.7x + 1.2

b)

f(x) = 0.75x² + 0.45x + 1.95

c)

f(x) = x² + 2

d)

f(x) = 1.9(1.74)^x

25.

Express in logarithmic form: 1024 = 4⁵

a)

log₅(4) = 1024

b)

log₅(1024) = 4

c)

log₄(5) = 1024

d)

log₄(1024) = 5

26.

Expand:

a)

b)

c)

d)

27.

Solve for x:

2(3)^x+1 = 36

a)

b)

c)

d)

28.

Solve for x: log₉(x-5) + log₉(x+3) = 1.

a)

x = 2

b)

x = 4

c)

x = 6

d)

x = 9

29.

What is the equation that represents the exponential function in the image below?

a)

y=3(½)^x

b)

y=3(2)^x

c)

y=(2)^x

d)

y=2(3)^x

30.

Which graph best represents the following logarithmic function?
$y=\log_4x$

a)

b)

c)

d)

31.

Using the parent function y=3^x what would the graph of y=3^x+1 look like?

a)

Horizontal Shift to the right 1 unit

b)

Horizontal shift to the left one unit

c)

Vertical shift one unit up

d)

Vertical shift one unit down

32.

What are the transformations of this graph?

a)

Right 1 Up 5

b)

Right 1 Down 5

c)

Left 1 Up 5

d)

Left 1 Down 5

33.

Which graph is exponential decay

a)

b)

c)

d)

34.

Write in logarithmic form.
5² = 25

a)

log₅2 = 25

b)

log₂25 = 5

c)

log₂₅5 = 2

d)

log₅25 = 2

35.

Rewrite 3⁴ = 81 in logarithmic form.

a)

log₃4 = 81

b)

log₈₁3 = 4

c)

log₃81 = 4

d)

log₄81 = 3

36.

Write in exponential form.
log₂32 = 5

a)

2^-5 = 32

b)

2³² = 5

c)

2⁵ = 32

d)

32⁵ = 2

37.

Evaluate log₅20 to the third decimal place

a)

0.537

b)

2.996

c)

1.301

d)

1.861

38.

Rewrite log_pt = m in exponential form.

a)

p^t = m

b)

t^m = p

c)

m^t = p

d)

p^m = t

39.

Expand

a)

6log₈v-2log₈u

b)

6log₈u-2log₈v

c)

3log₈u-2log₈v

d)

6log₈u+2log₈v

40.

Expand completely: log(2x⁵)

a)

log 2 + 5log x

b)

5log 2 + 5log x

c)

5log 2 + log x

d)

log 10 + log x

41.

Log with a base "e" (log_e) is the same thing as...

a)

"e"

b)

Natural Logarithm (LN)

c)

Common Logarithm (Log)

d)

Natural Log, base "e"
LN_e

42.

Solve for x:
log_x25 = 2

a)

5

b)

-5

c)

1/5

d)

-1/5

43.

Solve for x:
2^x+6=2⁵

a)

-1

b)

11

c)

1

d)

-11

44.

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

a)

x = 3

b)

x = 2

c)

x = -1

d)

No Solution

45.

Find the length of side y.

a)

22.32 cm

b)

36.5 cm

c)

76.34 cm

d)

87.76 cm

46.

What is the length of side x?

a)

6.57 cm

b)

7 cm

c)

7.44 cm

d)

26.33 cm

47.

Find the length of side w.

a)

21.4 cm

b)

18.0 cm

c)

36.5 cm

d)

43.6 cm

48.

Solve for a and b in the special right triangle.

a)

a = 5, b = 5

b)

a = 10, b = 10√2

c)

a = 10√2, b = 10√2

d)

a = 5√2, b = 5√2

49.

Solve for x and y in the special right triangle.

a)

x = 7, y = 7√2

b)

x = 14 y = 7√2

c)

x = 14√2 y = 7√2

d)

x = 14 y = 14√2

50.

Solve for u and v in the special right triangle.

a)

v = 9√3, u = 6√3

b)

v = 6√3 u = 9√3

c)

v = 9, u = 6√3

d)

v = 3√6, u = 6√3

51.

Solve for x and y in the special right triangle.

a)

y = 4, x = 4√3

b)

y = 4√2, x = 4√2

c)

y = 4 x = 12

d)

y = 8/√3, x = 16/√3

52.

Find Cos(A) as a decimal rounded the the nearest ten-thousandth.

a)

.4706

b)

1.875

c)

.8824

d)

.5333

53.

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

a)

9.4

b)

55.2

c)

20.15

d)

19.4

54.

Solve for x. Round to the nearest tenth.

a)

44.0

b)

41.4

c)

1.2

d)

1.0

55.

Solve for x. Round to the nearest tenth.

a)

103.5

b)

4.7

c)

55.0

d)

23.4

56.

Solve for x. Round to the nearest tenth.

a)

9.8

b)

0.1

c)

0.038

d)

9.9

57.

Choose the correct ratio.

a)

sin(37)=x/14

b)

cos(37)=x/14

c)

tan(37)=x/14

d)

sin(37)=14/x

58.

Find r and s.

a)

r = 9, s = 9√3

b)

r = 18, s = 9

c)

r = 9√3, s = 9

d)

r = 18, s = 9√3

59.

Find the area of this triangle. Round your answer to the nearest tenth.

a)

89.0 units squared

b)

89.6 units squared

c)

9.2 units squared

d)

13.1 units squared

60.

Find the value of y.

a)

8

b)

4

c)

2√3

d)

8√3

61.

Which equation would you use to solve for the unknown angle?

a)

x = sin^–1(4/5)

b)

x = cos^–1(4/5)

c)

x = cos^–1(5/4)

d)

x = tan^–1(4/5)

62.

What cartoon is this from?

a)

Dexter's lab

b)

my little pony

c)

Scooby-doo

d)

Animaniacs

63.

Who is Optimus Prime?

a)

leader of the decipticons

b)

leader of the autobots

c)

part of the brave police

d)

a man-made robot

64.

Who is this?

a)

Mr. Wookiee

b)

Hans Solo

c)

Chewbacca

d)

Darth Vader

65.

What is the name of this Avenger?

a)

Dr Strange

b)

Grootylian

c)

Thanos

d)

Groot

66.

What is the capital of Tennessee ?

a)

Albany

b)

Salem

c)

Nashville

d)

Salt Lake City

67.

What is the tallest animal...

a)

b)

c)

d)

68.

How many animals are there in this image?

a)

4

b)

5

c)

6

d)

7

69.

^{Find the missing side}

a)

11

b)

61

c)

$\sqrt{61}$

d)

$\sqrt{11}$

70.

The Pythagorean Theorem is
a² + b³= c⁴

a)

false

b)

true

71.

What is 5π/6 radians in degrees?

a)

180

b)

150

c)

360

d)

120

72.

What is 11π/6 radians in degrees?

a)

30

b)

330

c)

360

d)

300

73.

Convert π radians to degrees.

a)

90⁰

b)

180⁰

c)

360⁰

d)

60⁰

74.

Convert 150⁰ to radians

a)

5π/6

b)

3π/4

c)

7π/6

d)

2π/3

75.

Convert 100⁰ to radians

a)

5π/9

b)

π/2

c)

5π/8

d)

5π/6

Quarter 2 Review Precalc

Total questions: 75

Worksheet time: 3hrs 10mins

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