Free Printable Course Assessment Review #2

1.

Simplify $5\sqrt{32}+\sqrt{27}+2\sqrt{75}$

a)

$20\sqrt{2}+13\sqrt{3}$

b)

$7\sqrt{100}$

c)

$8\sqrt{100}$

d)

$33\sqrt{5}$

2.

a)

4^4/3

b)

4^3/4

c)

2^4/3

d)

2^3/4

3.

Rewrite as a RADICAL expression
$\left(2x\right)^{\frac{6}{5}}$

a)

b)

4.

Which is equivalent to ∛54 in simplest form?

a)

3∛6

b)

9∛2

c)

3∛2

d)

3∛3

5.

Simplify the following:

a)

A

b)

B

c)

C

d)

D

6.

Divide the Rational Expression

a)

A

b)

B

c)

C

d)

D

7.

Divide and Simplify

a)

A

b)

B

c)

C

d)

D

8.

What is the sum of the first ten terms of the sequence 4, -12, 36, -144 . . . ?

a)

59,050

b)

-59,048

c)

-78,732

d)

118,096

9.

If $1,000 is invested at 16% interest, compounded continuously, for five years, what is the ending balance?

a)

$1,225,54

b)

$2,225.54

c)

$22,255.40

d)

$225.54

10.

$\frac{2}{b+1}+\frac{2b}{b-3}$

Simplify the expression:

a)

$\frac{2}{b+1}$

b)

0

c)

$\frac{2b}{\left(b-3\right)\left(b+1\right)}$

d)

$\frac{2b^2+4b-6}{\left(b-3\right)\left(b+1\right)}$

11.

Find the average rate of change of $g\left(x\right)=\sqrt[]{x+9}-5$ on $-5\le x\le0$ .

a)

$-\frac{1}{5}$

b)

$-1$

c)

$\frac{1}{5}$

d)

$7$

12.

What is the average rate of change of [1, 5]?

a)

-0.65

b)

-0.75

c)

3.75

d)

4

13.

a)

6.5 hours

b)

.309 hours

c)

21 hours

d)

3.23 hours

14.

Two workers, Alex and Jamie, can complete a task together in 8 hours. If Alex can complete the task alone in 12 hours, how long would it take Jamie to complete the task alone?

a)

16 hours

b)

18 hours

c)

20 hours

d)

24 hours

15.

Solve by using the LCD.

a)

x = 1

b)

x = -3

c)

x = 0

d)

x = 3

16.

What is the domain of the rational function $f(x) = \frac{2}{x^2 - 9}$ ?

a)

All real numbers except $x = 3$ and $x = -3$

b)

All real numbers

c)

All real numbers except $x = 0$

d)

$x > 3$ and $x < -3$

17.

a)

x = 49

b)

x = 53

c)

x = 45

d)

x = 18

18.

Question 1

a)

10

b)

8

c)

16

d)

4

19.

Solve for x. $4\sqrt{x+9}+11=7$

a)

x = -8

b)

x = -10

c)

x = -1

d)

No Solution

20.

Solve. Remember to check for extraneous solutions.

$\sqrt[]{3x+4}=-2$

a)

No Solution

b)

x=0

c)

x=8/3

d)

x=-8/3

21.

$\log_9\left(r-8\right)\ =\ 2$

a)

55

b)

$\frac{11}{6}$

c)

89

d)

6

22.

Solve

log₂(x + 5) = 3

a)

3

b)

4

c)

5

d)

6

23.

Solve: 9^8-x = 27^x-3

a)

x = 5

b)

x = -5

c)

x = 1/5

d)

x = -1/5

24.

Solve for x.

3^2x+4 = 27^2x-4

a)

4

b)

1/4

c)

-2

d)

-4

25.

$\frac{\left(x+9\right)\left(x+8\right)}{8}\cdot\frac{\left(x-1\right)}{\left(x+8\right)\left(x-1\right)}$

a)

$\frac{\left(x+9\right)}{8}$

b)

$\frac{\left(x-1\right)}{8}$

c)

$\frac{1}{8}$

d)

$\frac{\left(x+9\right)\left(x+8\right)}{8}$

26.

Multiply & Simplify:
$\frac{x^3-9x}{x^2+10x+21}\cdot\frac{x^2+7x}{x^2+5x-24}$

a)

$\frac{2x}{x+8}$

b)

$\frac{x^2}{x+8}$

c)

$\frac{x}{x+4}$

d)

$\frac{x^2\left(x-9\right)}{x+8}$

27.

Simplify:
$\frac{a^2+3a+2}{a+2}\cdot\frac{a-9}{a+1}$

a)

$\frac{a+7}{3}$

b)

$a-9$

c)

$\frac{a+10}{\left(a-7\right)\left(a-5\right)}$

d)

$5$

28.

Multiply:
$\frac{2x+16}{x^2+3x-40}\cdot\frac{x^2-11x+30}{x^2-14x+48}$

a)

$\frac{3x^2\left(x+5\right)}{5}$

b)

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

c)

$x-2$

d)

$6x^2\left(x-4\right)$

29.

Simplify.

a)

(x+6)/(x+4)

b)

(x+6)(x+4)

c)

(x+6)

d)

(x+6)/(x-5)

30.

Simplify.

a)

(m+6)/(m-3)

b)

7/(m-3)

c)

7(m+6)

d)

(m-3)

31.

Find the inverse of f(x) = -4x - 12

a)

f^-1(x) = 4x - 3

b)

$f^{-1}(x)=-\frac{1}{4}x-3$

c)

$f^{-1}(x)=\frac{1}{4}x+3$

d)

f^-1(x) = -4x - 3

32.

Find the inverse of $f\left(x\right)=3x+2$

a)

$f^{-1}\left(x\right)=\frac{x-2}{3}$

b)

$f^{-1}\left(x\right)=\frac{x-3}{2}$

c)

$f^{-1}\left(x\right)=\frac{3x}{2}$

d)

$f^{-1}\left(x\right)=\frac{2+x}{3}$

33.

Find the vertical asymptote(s) (if any) of the graph of the function.
$\frac{3x}{x^2-9}$

a)

x=3

b)

x=0

c)

None

d)

X=3, x=-3

34.

What is the sum of the first ten terms of the sequence 4, -12, 36, -144 . . . ?

a)

59,050

b)

-59,048

c)

-78,732

d)

118,096

35.

What value(s) make the expression undefined?

a)

x = - 3 and x = 4

b)

x = 3 and x = - 4

c)

x = 3 only

d)

x = - 4 only

36.

Determine the excluded values.

a)

x = 5, -1

b)

x = -5, 1

c)

x = 5, 1

d)

x = -5, -1

Course Assessment Review #2

Total questions: 36

Worksheet time: 3hrs 8mins

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