Free Printable SSHS McCoy Spring Semester PreCalculus Exam Review

1.

Which one is the graph of y = x³?

a)

Graph A

b)

Graph B

c)

Graph C

d)

Graph D

2.

Find the angle of least positive measure coterminal with the given angle.

$811\degree$

a)

81 degrees

b)

451 degrees

c)

91 degrees

d)

441 degrees

3.

Convert the degree measure to radians.

$-36\degree$

a)

$-\frac{\pi}{5}$

b)

$-\frac{\pi}{6}$

c)

$-\frac{\pi}{4}$

d)

$-\frac{\pi}{7}$

4.

Find the common difference for the arithmetic sequence.

0, -4, -8, -12, ...

a)

-4

b)

-8

c)

-8.6

d)

-12

5.

Write the first n terms of the given arithmetic sequence.

The first term is 23, and the common difference is 3; n = 5

a)

23, 3, 52, 78, 104

b)

3, 26, 49, 72, 95

c)

23, 26, 29, 32, 35

d)

23, 3, 29, 32, 35

6.

Write the first n terms of the given arithmetic sequence.

The first term is 23, and the common difference is 3; n = 5

a)

23, 3, 52, 78, 104

b)

3, 26, 49, 72, 95

c)

23, 26, 29, 32, 35

d)

23, 3, 29, 32, 35

7.

Find the common ratio r for the given infinite geometric sequence.

50, 10, 2, 0.4, 0.08, ...

a)

5

b)

0.08

c)

0.2

d)

-0.2

8.

Find the nth term of the geometric sequence.

a₁=6, r = 3, n = 5

a)

a₅=104,976

b)

a₅= 2/27

c)

a₅= 81

d)

a₅ = 486

9.

Convert -150^o into radians.

a)

$-\frac{7\pi}{9}$

b)

$-\frac{29\pi}{36}$

c)

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

d)

$-\frac{5\pi}{6}$

10.

Find the exact value of sin $-3\pi$

a)

-1

b)

$-\frac{\sqrt[]{2}}{2}$

c)

$-\frac{2\sqrt[]{3}}{3}$

d)

0

11.

What is the exact value of sin $\frac{\pi}{6}$ ?

a)

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

b)

$\frac{1}{2}$

c)

$\frac{\sqrt[]{3}}{3}$

d)

$-1$

12.

A point on the terminal side of angle $\theta$ is $\left(-6,-\sqrt[]{13}\right)$ .

What is the value of tan $\theta$ ?

a)

$-\frac{6}{7}$

b)

$-\frac{7\sqrt[]{13}}{13}$

c)

$\frac{\sqrt[]{13}}{6}$

d)

$-\frac{\sqrt[]{13}}{7}$

13.

Using radians, find the amplitude and period of

$y=4\sin\left(2x+\frac{3\pi}{4}\right)+4$

a)

amplitude: 2

period: $\frac{\pi}{3}$

b)

amplitude: 5

period: $\frac{\pi}{3}$

c)

amplitude: 10

period: $\frac{2\pi}{7}$

d)

amplitude: 4

period: $\pi$

14.

Find the amplitude and period of the function in radians.

$y=\frac{1}{9}\sin\left(\frac{x}{4}-\frac{\pi}{3}\right)-2$

a)

amplitude: 9

period: $2\pi$

b)

amplitude: 1

period: $2\pi$

c)

amplitude: $\frac{1}{2}$

period: $4\pi$

d)

amplitude: $\frac{1}{9}$

period: $8\pi$

15.

In $\Delta ABC,\ m\angle B=136.7^o,\ a=21.8,\ and\ c=13$

Find the length of side b.

a)

28.7

b)

32.5

c)

30.9

d)

35.7

16.

Is this graph one-to-one or not?

a)

One-to-one

b)

Not One-to-one

17.

What is the degree of the polynomial shown in the image?

a)

1

b)

2

c)

3

d)

4

18.

Is the leading coefficient for the polynomial in the image positive or negative?

a)

Negative

b)

Positive

c)

Cannot be determined

19.

How are exponential and log functions related?

a)

They are cousins

b)

They are siblings

c)

They are married

d)

They are inverses

20.

Rewrite 3⁴ = 81 in logarithmic form.

a)

log₃4 = 81

b)

log₈₁3 = 4

c)

log₃81 = 4

d)

log₄81 = 3

21.

Change to Exponential Form:
log₆36 = 2

a)

2⁶=36

b)

6²=36

c)

36²=6

d)

36⁶=2

22.

Evaluate log₅20 to the third decimal place

a)

0.537

b)

2.996

c)

1.301

d)

1.861

23.

Write as a single log: log 12 + 2 log x

a)

log (12 + 2x)

b)

log (14x)

c)

log (12 * 2x)

d)

log (12x²)

24.

Condense

a)

A

b)

B

c)

C

d)

D

25.

Please select the correct solution
cos²x + sin ²x=

a)

1

b)

csc²x + sec²x

c)

sin²x

d)

1 - sin²x

26.

Simplify

a)

-1

b)

sin θ

c)

csc θ

d)

1

27.

What is the value of $\cos45\degree$

a)

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

b)

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

c)

$\frac{1}{2}$

d)

$1$

28.

Calculate the sum of the series: $1 + 2 + 3 + \ldots + 10$ .

a)

$45$

b)

$50$

c)

$55$

d)

$60$

29.

What is the magnitude of this vector?

a)

4

b)

5

c)

3

d)

square root of 5

30.

Which of the following could be the equation of the graph in factored form?

a)

y=-(x+1)(x-2)(x-4)

b)

y=(x+1)²(x-2)
(x-4)³

c)

y = x(x+1)(x-2)
(x-4)

d)

y=(x+1)³(x-3)
(x-1)²

31.

What is the period of y=4cos5x

a)

2π/5

b)

π

c)

5

d)

5π

32.

What is the amplitude of

y= - 4 cos (5x)

a)

4

b)

-4

c)

5

d)

$\frac{4}{5}$

33.

Write the equation of the trigonometric function graphed.

a)

y=cosx

b)

y= - cosx

c)

y=sinx

d)

y = - sinx

34.

Write the equation of the function graphed:

a)

y = cosx

b)

y = - cosx

c)

y = sinx

d)

y = - sinx

35.

The period of a sine or cosine graph can be found by ....

a)

It's always 2π

b)

2π/B

c)

B(2π)

d)

2π+B

36.

Identify the zeros:

a)

x=-2, x=-1, x=0

b)

x=-2, x=0

c)

x=-1, x=0, x=2

d)

x=-2, x=0, x=1

37.

What is true regarding the Law of Cosines?

a)

It only works with right triangles.

b)

It is only useful for acute triangles.

c)

It can only be used when an angle and it's opposite side are known.

d)

It can be used when all three sides are known.

38.

Consider triangle ABC where m∠A = 38° and the sides that form angle A (sides b and c) measure 9 and 12. What is the length of side an across from angle A to the nearest hundredth?

a)

7.40

b)

54.79

c)

21

d)

9.30

39.

Given an initial point R ( -12, 4 ) and terminal point S ( 28, -17 ), find the component form of the vector RS.

a)

〈14,-13〉

b)

〈-14,13〉

c)

〈-40,-21〉

d)

〈40,-21〉

40.

Find the magnitude of the vector <10, -8>

a)

2

b)

12.81

c)

6

d)

18

41.

Which vector equation matches the vector operation shown in the diagram below?

a)

u-v=w

b)

u-v=-w

c)

u+v=w

d)

v+u=-w

42.

If vector a= (4, -5) and vector b= (-7, 4) Find 2a-3b

a)

(29, -22)

b)

(13, -2)

c)

(1, 7)

d)

(29, -2)

43.

Write 1 + 2 + 3 + ... + 10

using sigma notation

a)

$\sum_{d=1}^9d$

b)

$\sum_{d=1}^{10}d+1$

c)

$\sum_{d=1}^{10}d$

44.

$Evaluate:\ \ \sum_{a=2}^6\left(a^2+a\right)$

a)

70

b)

110

c)

90

45.

Find the 4th term in the expansion of (4x-3)⁵.

a)

5760

b)

-4320x²

c)

5760x³

d)

-4320

46.

What is the third term in the expansion of (x + 4)⁵?

a)

640 x²

b)

160 x³

c)

4 x⁵

d)

64 x³

47.

Amanda and Jimmy are planning trips to four countries this year. There are 8 countries they would like to visit. They are deciding which countries to skip. How many ways can they make this decision?

a)

70

b)

45

c)

280

d)

260

48.

7! + 8!

a)

45,360

b)

33,479

c)

44,245

d)

34,820

49.

Find the sum of the first 25 terms of the sequence below:

a_n = 5n + 1

a)

126

b)

1650

c)

3300

d)

2650

50.

Find the sum of the first 6 terms of the sequence:

a = 100 (1/2)^n-1

a)

100000

b)

1575/8

c)

300

d)

250

SSHS McCoy Spring Semester PreCalculus Exam Review

Total questions: 50

Worksheet time: 4hrs 21mins

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