Free Printable End of Year Review Precalc

1.

Lexi is asked to solve the equation $5^{3n}\ =\ 25$ . Her work is shown below. Is she correct? If not, in what line is her mistake?

a)

Line 1

b)

Line 2

c)

Line 3

d)

She is correct! Good job, Lexi!

2.

Evaluate $\log_{ }10,000$

(a)

3.

Select the correct key features from the choices given for the graph below.

a)

Domain is all real numbers

b)

Range is all real numbers

c)

End behavior: As $x\ \rightarrow-1,\ f\left(x\right)\ \rightarrow\ -\infty$

d)

y-intercept = 8

e)

End behavior: As $x\ \rightarrow-\infty,\ f\left(x\right)\ \rightarrow\ -\infty$

4.

What is the definition of function?

a)

Has inputs and outputs

b)

Every input has only ONE output

c)

Inputs have different outputs every time

d)

x-values and y-values

5.

a)

Function

b)

Not a Function

6.

Is this mapping a function or not a function?

a)

Function

b)

Not a Function

7.

All of the y values or outputs are called what?

a)

Domain

b)

Range

c)

Relation

d)

Function

8.

Is this graph a function or not a function?

a)

Function

b)

Not a Function

9.

Find the sum.
(3 - 2x + 2x²) + (4x - 5 + 3x²)

a)

7x - 7x + 5x²

b)

5x²+ 2x - 2

c)

5x²

d)

5x² + 6x + 8

10.

Simplify:
2x ( -2x -3)

a)

-4x - 3

b)

x² - 3

c)

-4x² - 6x

d)

-4x - 6

11.

Simplify (multiply)
(3x²)(3x⁴y³)

a)

A
9x⁶y³

b)

B
3x⁶y³

c)

C
6x⁸y³

d)

D
6x⁸y⁶

12.

Factor completely
16x² - 16x - 12?

a)

A
4(2x - 2) (2x + 2)

b)

B
(2x - 3) (8x + 4)

c)

C
(8x - 12) (2x + 3)

d)

D
4(2x - 3) (2x + 1)

13.

Using exponents, simplify the following expression:

5⁵* 5^-3

a)

5^-15

b)

5⁸

c)

5^-8

d)

5²

14.

Using exponents, simplify the following expression:

z^-3* z⁶ * z^-3

a)

1

b)

z⁶

c)

z⁵⁴

d)

1/z⁶

15.

Simplify the following expression:

(xyz)⁰ =

a)

0

b)

1

c)

xyz

d)

-1

16.

Rewrite using positive exponents

a)

2⁴

b)

1/2⁴

c)

4²

d)

1/4²

17.

Simplify the expression

a)

x²/2

b)

2/x¹⁴

c)

2x¹⁴

d)

2/x²

18.

Which two exponent rules do you need to use to simplify this expression?

a)

Product Rule and Quotient Rule

b)

Power Rule and Negative Exponent Rule

c)

Power Rule and Product Rule

d)

Zero Rule and Power Rule

19.

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

a)

b)

c)

d)

20.

What's the horizontal asymptote of the function?

a)

y = 0

b)

No horizontal asymptote

c)

y = 1

d)

y = 9

21.

What's the vertical asymptote of the function?

a)

x = -9

b)

x = 9

c)

x = 3 , x = -3

d)

x = 3

22.

What's the vertical asymptote of the function?

a)

x = 4

b)

x = 16

c)

x = 4 , x = -4

d)

No vertical asymptote

23.

What is the X-Intercept?

a)

x= 0

b)

x= 4

c)

x= 5

d)

x= -5

24.

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

25.

log(4x)

a)

log4-logx

b)

log4+logx

c)

4logx

d)

xlog4

26.

log(xy²)

a)

logx+2logy

b)

logx+logy²

c)

logx-2logy

d)

logx+logy+log2

27.

$\log\left(\frac{m^3}{n}\right)$

a)

logm-log3-logn

b)

3logm+logn

c)

3logm-logn

d)

3log(m-n)

28.

Condense: log16 + log2 - log8

a)

log4

b)

log8

c)

log10

d)

log24

29.

Logarithmic functions are the inverse of...

a)

Linear Functions

b)

Exponential Functions

c)

Quadratic Functions

d)

Polynomial Functions

30.

You need a ladder that will reach up a 25 foot tall house when placed 10 feet away from the house. How tall does the ladder need to be?

a)

25 feet

b)

26 feet

c)

27 feet

d)

28 feet

31.

If you are given the opposite side and hypotenuse, which trig function should you use?

a)

sine

b)

cosine

c)

tangent

d)

cotangent

32.

a)

27/36

b)

27/45

c)

45/36

d)

45/27

33.

Choose the correct ratio.

a)

sinZ=5/13

b)

sinX=5/13

c)

cosX=13/12

d)

tanZ=12/5

34.

Choose the correct ratio.

a)

sin(37)=x/14

b)

cos(37)=x/14

c)

tan(37)=x/14

d)

sin(37)=14/x

35.

Solve for x. Round to the nearest tenth.

a)

74.9

b)

3.6

c)

63.5

d)

54.1

36.

What type of special right triangle is this?

a)

Isoceles right

b)

30-60-90

c)

not a special right triangle

37.

What type of special right triangle is this?

a)

45-45-90

b)

30-60-90

c)

not a special right triangle

38.

What is the measure of a?

a)

3

b)

$3\sqrt{3}$

c)

6

d)

$3\sqrt{2}$

39.

cos(60°)

a)

0

b)

1/2

c)

√3/2

d)

1

40.

What is the radius of a unit circle?

a)

1

b)

2

c)

1/2

d)

0

41.

What is the exact value of sin 150°

a)

-1/2

b)

-√3/2

c)

1/2

d)

√3/2

42.

What are the coordinates of 60° on the unit circle?

a)

(0, 1)

b)

(1/2, √3/2)

c)

(√3/2, 1/2)

d)

(√2/2, 1/2)

43.

What is sin 45°?

a)

1

b)

^√3/₂

c)

½

d)

^√2/₂

44.

What is cos 90°?

a)

½

b)

undefined

c)

1

d)

0

45.

What is csc(x) equivalent to?

a)

1/sin(x)

b)

1/tan(x)

c)

sin(x)

d)

1/cos(x)

46.

Verify the following.
tanB (cotB + tanB) = sec²B

a)

1+ tan²B

b)

sec²B

c)

cot²B

d)

tan²B

47.

Please select the correct solution

a)

csc x

b)

sec x

c)

cot x

d)

tan x

48.

a)

cot

b)

(1 / cos)

c)

tan

d)

(1 / sin)

49.

Verify the following:

a)

cos²x

b)

sin²x

c)

cot²x

d)

tan²x

50.

A vector is a ray with both ____________ and _____________.

a)

Wings and halos

b)

Space and time

c)

Direction and magnitude

d)

Radicals and exponents

51.

Find the magnitude.

a)

0

b)

5

c)

-5

d)

4

52.

Find the magnitude.

a)

4

b)

5

c)

3

d)

square root of 5

53.

Component Form

a)

<-3, -7>

b)

<3, -7>

c)

<-3, 7>

d)

<7, 3>

54.

Find the resultant vector.

a)

<9, 15>

b)

<7, 17>

c)

<15, 9>

d)

<11, 13>

55.

Determine the components of the vector:

a)

<5, 8.7>

b)

<8.7, 5>

c)

<59.1, 10.4>

d)

<10.4, 59.1>

56.

Which type of conic section is this equation?

a)

circle

b)

ellipse

c)

hyperbola

d)

parabola

57.

Which type of conic section is this equation?

a)

circle

b)

ellipse

c)

hyperbola

d)

parabola

58.

Which type of conic section is this equation?

a)

circle

b)

ellipse

c)

hyperbola

d)

parabola

59.

Which type of conic section is this equation?

a)

circle

b)

ellipse

c)

hyperbola

d)

parabola

60.

Which type of conic section is this equation?

a)

circle

b)

ellipse

c)

hyperbola

d)

parabola

61.

What is the directrix of the parabola
(x - 4)²= 8(y + 3)?

a)

y = - 3

b)

x= 5

c)

y= - 5

d)

y= 2

62.

What number would go in the blank?

a)

-2

b)

-4

c)

-8

d)

-16

63.

Convert the rectangular coordinates to polar form

a)

(√2 , 7π/4)

b)

(2 , 3π/4)

c)

(4 , π/4)

d)

(4 , 5π/4)

64.

True or False: Polar Coordinates are unique?

a)

True

b)

False

c)

Made you look

d)

this quizizz rocks

65.

How do you write an ordered pair?

a)

(X,X)

b)

(θ, r)

c)

(r,θ)

d)

(Y,Y)

66.

Convert the polar coordinates to rectangular form.
(6, 2π/3)

a)

( -3, 3)

b)

(3, 3√3)

c)

(-3, 3√3)

d)

(3, -3√3)

67.

In the coordinate points (2,7⁰) the 2 represents the...

a)

theta

b)

radius

c)

x

d)

angle

68.

"Wherever I wander, wherever I roam, I couldn't be fonder of my big home..."

a)

Peter Pan

b)

Jungle Book

c)

Aladdin

d)

101 Dalmations

69.

How many noses does a slug have?

a)

1

b)

2

c)

3

d)

4

70.

Port Moresby is the capital of which country?

a)

Timor Leste

b)

New Zealand

c)

Vanuatu

d)

Papua New Guinea

End of Year Review Precalc

Total questions: 70

Worksheet time: 3hrs 3mins

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