Free Printable Pre-Calculus Review

1.

sin π/4

a)

√2∕2

b)

1/2

c)

√3/2

d)

0

2.

a)

1

b)

-1

c)

0

d)

√2/2

3.

a)

-1

b)

0

c)

undefined

d)

√3

4.

Evaluate cos(0)

a)

0

b)

1

c)

0.5

d)

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

5.

Evaluate

\log_4\left(\frac{1}{16}\right)

a)

$0$

b)

$-2$

c)

$2$

d)

$-\frac{1}{2}$

e)

None of these

6.

Evaluate

\log_aa^3

a)

$a^3$

b)

$a$

c)

$3a$

d)

$3$

e)

None of these

7.

The y-coordinate of the point of intersection of the graph of

-x + 4y = -50 and x + y = 20 is

a)

6

b)

0

c)

-14

d)

-6

8.

If 2¹³ is approximately 8000, then, of the following, which best approximates 2²⁶?

a)

640,000

b)

6,400,000

c)

64,000,000

d)

8000¹³

9.

2^-5⋅ 64^2/3=

a)

512

b)

$\frac{1}{512}$

c)

1

d)

$\frac{1}{2}$

10.

If f is a function whose graph is the parabola sketched below then f(x) < 0 whenever

a)

x < 1 or x > 3

b)

x > 3

c)

x < 1

d)

1 < x < 3

11.

If $\frac{\left(2x\ -3\right)\left(x+5\right)}{x-7}=0$ then x =

a)

5, 7, − 3/2

b)

5 or 3/2

c)

-5, 7, 3/2

d)

-5 or 3/2

12.

If $f\left(x\right)=\frac{5x+3}{2x+3}\ then\ \ f\left(n+1\right)=$

a)

$\frac{8}{5}$

b)

$\frac{5n+3}{2n+3}+1$

c)

$\frac{5n+8}{2n+5}$

d)

$\frac{5n+4}{2n+4}$

13.

The slope of the line that goes through the points (−5, 4) and (3, −12) is

a)

$-\frac{1}{2}$

b)

8

c)

-2

d)

4

14.

Find all solutions to the equation $3x^2=4x+1$

a)

$\frac{4}{3},\frac{1}{3}$

b)

$\frac{4+3\sqrt[]{2}}{6},\frac{4-3\sqrt[]{2}}{6}$

c)

$\frac{2+\sqrt[]{7}}{3},\frac{2-\sqrt[]{7}}{3}$

d)

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

15.

The quantity $a-b$ is a factor of how many of the following?

$a^2-b^2$ $a^2+b^2$ $a^3-b^3$ $a^3+b^3$

a)

one only

b)

two only

c)

three only

d)

four

16.

The length of a certain rectangle is 6 meters more than twice its width. What is the perimeter of the rectangle if the area of the rectangle is 260 square meters?

a)

54 meters

b)

60 meters

c)

66 meters

d)

72 meters

17.

Rewrite log_x95 = 2.3

a)

x^2.3 = 95

b)

95^2.3 = x

c)

2.3⁹⁵ = x

d)

x⁹⁵= 2.3

18.

$\log_5\ \left(8-10n\right)\ =\ -2$

a)

$\frac{199}{250}$

b)

$\frac{4099}{5}$

c)

$\frac{577}{384}$

d)

$-\frac{31}{10}$

19.

Solve the equation for x

a)

1.585

b)

3.169

c)

0.792

d)

1.084

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 is the equation of the horizontal asymptote?

a)

y = 0

b)

y = -2

c)

y = 2

d)

There isn't one

23.

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

a)

(1, 0)

b)

(-1, 0)

c)

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

d)

(0, 0), (1, 0)

24.

What is the domain of this function?

The dashed blue lines represent asymptotes

a)

$\left(-\infty,\infty\right)$

b)

$\left(-\infty,3\right)U\left(3,\infty\right)$

c)

$\left(-\infty,3\right]$

d)

$\left(-\infty,3\right)\left(4,\infty\right)$

25.

What is the domain of this function?

The dashed blue lines represent asymptotes.

a)

$\left(-\infty,\infty\right)$

b)

$\left(-\infty,-3\right)U\left(-3,\infty\right)$

c)

$\left(-\infty,-4\right)U\left(-4,5\right)U\left(5,\infty\right)$

26.

$x^2+7x+12$

a)

$\left(x+3\right)\left(x+4\right)$

b)

$\left(x-4\right)\left(x-3\right)$

c)

$\left(x+6\right)\left(x+2\right)$

d)

$\left(x+4\right)\left(x-3\right)$

27.

Solve
2x² + 17x + 21 = 0

a)

x= ^-21/₂, -17

b)

x= ²/₃, 16

c)

x=-7, ^-3/₂

d)

x=15, -³/₇

28.

Please select the correct solution
cos²x + sin ²x=

a)

1

b)

csc²x + sec²x

c)

sin²x

d)

1 - sin²x

29.

What is csc(x) equivalent to?

a)

1/sin(x)

b)

1/tan(x)

c)

sin(x)

d)

1/cos(x)

30.

Is this a pythagorean identity?
tan²x + 1 = secx

a)

Yes

b)

No

31.

$Simplify\ \frac{1}{\csc\ x}\cdot\sin x$

a)

1

b)

$\sin^2x$

c)

$\csc x$

d)

$\cos^2x$

32.

Which of the following is not a pythagorean identity?

a)

cot²x + 1 = csc²x

b)

csc²x + 1 = cot²x

c)

cot²x - csc²x = -1

d)

csc²x - cot²x = 1

33.

Please select the correct solution

a)

csc x

b)

sec x

c)

cot x

d)

tan x

34.

Solve for x
l 2x−1 l = 9

a)

x = 5 and x =-4

b)

x = 5 and x = -5

c)

Only x = 5

d)

No Solution

35.

Evaluate f(0)

a)

0

b)

19

c)

9

d)

-19

Pre-Calculus Review

Total questions: 35

Worksheet time: 1hrs 5mins

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