Free Printable Unit 4 Review Math 3 Fall 2020

1.

What are the domain restrictions of $f\left(x\right)=\frac{x+3}{x^2-16}$ ?

a)

$x\ne4,-4$

b)

$x\ne0$

c)

$x\ge16$

d)

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

2.

What are the domain restrictions $f\left(x\right)=\frac{3}{x^2+6x+5}$

a)

$x\ne-5,-1$

b)

$x\ne1,5$

c)

$x>5,\ x<1$

d)

$x<-5,\ x>-1$

3.

Simplify

a)

(x-9)/(x+9)

b)

1/(x-9)

c)

(x+9)

d)

1/(x+9)

4.

Simplify.

a)

(x+6)/(x+4)

b)

(x+6)(x+4)

c)

(x+6)

d)

(x+6)/(x-5)

5.

Divide the Rational Expression

a)

A

b)

B

c)

C

d)

D

6.

Multiply the Rational Expression

a)

A

b)

B

c)

C

d)

D

7.

Multiply

a)

A

b)

B

c)

C

d)

D

8.

Divide

a)

A

b)

B

c)

C

d)

D

9.

Add

a)

A.

b)

B.

c)

C.

d)

D.

10.

Solve

a)

A

b)

B

c)

C

d)

D

11.

Solve

a)

A

b)

B

c)

C

d)

D

12.

Perform the operation

a)

A

b)

B

c)

C

d)

D

13.

Simplify the expression

a)

(12n² + 28n + 4) / (2n-5)(n+2)

b)

(12n² - 28n + 4) / (2n-5)(n+2)

c)

(8n) / (3n + 3)

d)

(12n² + 2n -3) / (2n-5)(n+2)

14.

a)

1/7

b)

47/36

c)

7

d)

23

15.

Solve and check for extraneous solutions

a)

x=5

b)

x= -5

c)

No Solution

16.

Solve the equation for x.

a)

7

b)

6

c)

14

d)

0

17.

Solve the equation for x.

a)

6

b)

12

c)

0

d)

3

18.

What's the horizontal asymptote of the function?

a)

y = 0

b)

No horizontal asymptote

c)

y = 2

d)

y = 4

19.

What's the vertical asymptote of the function?

a)

x = -9

b)

x = 9

c)

x = 3 , x = -3

d)

x = 3

20.

What's the vertical asymptote of the function?

a)

x = 5

b)

x = 0

c)

x =5 , x = -5

d)

x = 25

21.

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

22.

Where is the removable discontinuity?

a)

x=2

b)

x=2 and x=3

c)

x=-3

d)

x=3

23.

What is the domain?

a)

x ≠ 3

b)

x ≠ -1

c)

x ≠ 3, -1

d)

x ≠ 3, 1

24.

What is the equation of the rational function graphed?

a)

b)

c)

d)

25.

What is the equation of the graph?

a)

b)

c)

d)

26.

Which statements are true for the given rational function. Select all that apply.

a)

The horizontal asymptote is at y = 0.

b)

There is a hole at (6, ¾ ).

c)

The vertical asymptote is at x = -2.

d)

The x and y intercepts are at the origin.

e)

The domain is all real numbers except -2.

27.

What is the equation of the graph?

a)

b)

c)

d)

28.

(a)

29.

(a)

30.

(a)

31.

Mrs. Slate can paint a room in 2 hours. Jamie can paint the same room in 6 hours. How long, to the nearest tenth of an hour, will it take them to paint the room together?

a)

2 hours

b)

1.75 hours

c)

1.5 hours

d)

1.25 hours

32.

Lucy and Quinn have started a car washing business. Lucy can wash a car in 3 hours. Together, Lucy and Quinn can wash a car in 1 hour. How long does it take Quinn to wash a car by herself?

a)

It takes Quinn 4 hours.

b)

It takes Quinn 2 hours.

c)

It takes Quinn 1.5 hours.

d)

I don't know. It's too cold to wash cars! *DON'T PICK THIS!*

Unit 4 Review Math 3 Fall 2020

Total questions: 32

Worksheet time: 3hrs 50mins

Similar Resources on Wayground