Free Printable Unit 3 part 2 test

1.

Simplify $\frac{-6x+30}{x^{2\ }-4x-5}$

a)

$\frac{-6\left(x-5\right)}{\left(x-5\right)\left(x+1\right)}$

b)

$\frac{-6}{x+1}$

c)

$\frac{-6\left(x-5\right)}{\left(x+5\right)\left(x-1\right)}$

d)

$\frac{-6\left(x+5\right)}{\left(x-5\right)\left(x+1\right)}$

2.

Where is the function undefined (restricted)?

$\frac{-6\left(x-5\right)}{\left(x-5\right)\left(x+1\right)}$

a)

$x\ne5$

b)

$x\ne-1$

c)

$x\ne1,-5$

d)

$x\ne-1,5$

3.

Simplify, $\frac{2x+10}{x+5}$

a)

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

b)

2

c)

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

d)

$\frac{2}{x+5}$

4.

Where is the function undefined (restricted values)?

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

a)

$x\ne-5$

b)

$x\ne5$

c)

$x\ne2$

d)

$x\ne2,-5$

5.

Simplify, $\frac{x^{2\ }-25}{3x-15}$

a)

$\frac{1}{3}$

b)

$\frac{\left(x-5\right)}{3}$

c)

$\frac{x+5}{3}$

d)

$\frac{\left(x-5\right)\left(x+5\right)}{3x-15}$

6.

Where is the function undefined (restricted values)?

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

a)

$x\ne5,-5$

b)

$x\ne3,\ 5$

c)

$x\ne-5$

d)

$x\ne5$

7.

Identify the Vertical Asymptote (VA)

$\frac{1}{x+2}+4$

a)

x=-2

b)

x=2

c)

x=4

d)

x=-4

8.

Identify the horizontal asymptote

$\frac{1}{x+2}+4$

a)

Y=-4

b)

Y=4

c)

Y=-2

d)

Y=2

9.

Is there a hole in the equation?

$\frac{1}{x+2}+4$

a)

Yes

b)

No

10.

What is the domain and range of the function?

a)

$D:\ x\ne-2\ \ \ \ \ \ R:\ y\ne4$

b)

$D:\ x\ne4\ \ \ \ \ \ \ \ \ R:\ x\ne-2$

c)

$D:\ x\ne2\ \ \ \ \ \ \ \ \ \ \ \ \ \ R:\ y\ne-4$

d)

$D:\ x\ne-2\ \ \ \ \ \ \ R:\ y\ne-4$

11.

Is this graph correct for $\frac{1}{x+2}+4$ ?

a)

Yes

b)

No

12.

Name two points that you found for $\frac{1}{x+2}+4$

Select all that apply

a)

(-3,3)

b)

(-2,4)

c)

(-1,5)

d)

(-3,2)

13.

What is the vertical asymptote of $\frac{1}{x-3}-2$ ?

a)

x=3

b)

x=-3

c)

x=2

d)

x=-2

14.

What is the horizontal asymptote (HA) of $\frac{1}{x-3}-2$ ?

a)

y=2

b)

y=-2

c)

y=3

d)

y=-3

15.

Does $\frac{1}{x-3}-2$ have a hole?

a)

Yes

b)

No

16.

What is the domain and range of $\frac{1}{x-3}-2?$

a)

$D:\ x\ne-2\ \ \ \ R:\ y\ne3$

b)

$D:\ x\ne-3\ \ \ \ R:\ y\ne2$

c)

$D:\ x\ne3\ \ \ \ R:\ y\ne-2$

d)

$D:\ x\ne2\ \ \ R:\ y\ne3$

17.

Is this graph correct for $\frac{1}{x-3}-2$ ?

a)

Yes

b)

No

c)

Not at all

d)

Maybe

18.

Identify two points you found for $\frac{1}{x-3}-2$

Select all that apply.

a)

(3,-2)

b)

(5,3)

c)

(2,-3)

d)

(4,-1)

19.

Given the graph of the system, determine the solution(s)

Select all that apply

a)

(0,-1)

b)

(1,0)

c)

(0,1)

d)

(-3,-4)

20.

Given the graph of the system, determine the solution(s)

a)

(2,0)

b)

(0,2)

c)

(-2,0)

d)

(0,-2)

21.

Given the graph of the system, determine the solution(s)

(a)

22.

Select the answers that apply

a)

(2,5)

b)

(-3,0)

c)

answer not here

d)

no solution

23.

Select the answers that apply

a)

(6,8)

b)

answer is not here

c)

no solution

d)

(1,3)

24.

What is the LCD of 80 and 48?

(a)

25.

Arabella and Natalie can work in a restaurant. Arabella can prepare for opening in 80 minutes. Natalie can prepare for opening in 48 minutes. How long will it take them to prepare for opening if they work together?

What is the set up for this word problem?

a)

$\frac{1}{80}+\frac{1}{x}=\frac{1}{48}$

b)

$\frac{1}{80}+\frac{1}{48}=\frac{1}{x}$

c)

$\frac{1}{48}+\frac{1}{x}=\frac{1}{80}$

26.

Arabella and Natalie can work in a restaurant. Arabella can prepare for opening in 80 minutes. Natalie can prepare for opening in 48 minutes. How long will it take them to prepare for opening if they work together?

(a)

27.

What is the LCD of 6 and 4?

(a)

28.

Matt can build a wall in 4 days. Randy can build a wall in 6 days. How long will it take if they work together?

What is the correct set up for the problem?

a)

$\frac{1}{4}+\frac{1}{6}=\frac{1}{x}$

b)

$\frac{1}{4}+\frac{1}{x}=\frac{1}{6}$

c)

$\frac{1}{6}+\frac{1}{x}=\frac{1}{4}$

29.

Matt can build a wall in 4 days. Randy can build a wall in 6 days. How long will it take if they work together?

a)

$2\left(\frac{2}{5}\right)\ or\ 2.4\$

b)

-12

c)

12

d)

none of the above

Unit 3 part 2 test

Total questions: 29

Worksheet time: 26mins

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