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3rd and 7th PeriodAlgebra 2: Section 4-1 and 4-2 Quiz Review

Total questions: 23

Worksheet time: 1hrs 3mins

Name
Class
Date
1.
a)
A
b)
B
c)
C
d)
D
2.
a)
A
b)
B
c)
C
d)
D
3.
a)
A
b)
B
c)
C
d)
D
4.
Which value of x makes the expression undefined?
a)
-2
b)
2
c)
-6
d)
-3
5.

Multiply and Simplify

a)

4(x+3)/(x+2),

b)

(x+2)/4(x+1)

c)

(x+2)/4(x+3),

d)

4(x+1)/(x+2),

6.

Multiply the Rational Expression

a)

A.

b)

B.

c)

C.

d)

D.

7.

What values would make the following undefined?

a)

7 and -3

b)

-7 and 3

c)

7 and 3

d)

-7 and -3

8.

 Simplify:  x2+6x7x249Simplify:\ \ \frac{x^2+6x-7}{x^2-49}  

a)

 x1x+7\frac{x-1}{x+7}  

b)

 x+1x+7\frac{x+1}{x+7}  

c)

 x1x7\frac{x-1}{x-7}  

d)

 x+1x7\frac{x+1}{x-7}  

9.

 Simplify:  x2+6xx2+3x18Simplify:\ \ \frac{x^2+6x}{x^2+3x-18}  

a)

 xx+3\frac{x}{x+3}  

b)

 xx3\frac{x}{x-3}  

c)

 x+6x3\frac{x+6}{x-3}  

d)

 xx+6\frac{x}{x+6}  

10.

 Simplify:  x2+7x+10x24Simplify:\ \ \frac{x^2+7x+10}{x^2-4}  

a)

 x5x+2\frac{x-5}{x+2}  

b)

 x5x2\frac{x-5}{x-2}  

c)

 x+5x+2\frac{x+5}{x+2}  

d)

 x+5x2\frac{x+5}{x-2}  

11.

 Simplify:  x225x26x+5Simplify:\ \ \frac{x^2-25}{x^2-6x+5}  

a)

 x+5x1\frac{x+5}{x-1}  

b)

 x5x1\frac{x-5}{x-1}  

c)

 x+5x+1\frac{x+5}{x+1}  

d)

 x5x+1\frac{x-5}{x+1}  

12.

 Simplify:  x2+7x+12x2+4xSimplify:\ \ \frac{x^2+7x+12}{x^2+4x}  

a)

 x+3x+4\frac{x+3}{x+4}  

b)

 x3x\frac{x-3}{x}  

c)

 x+3x\frac{x+3}{x}  

d)

 x+3x2\frac{x+3}{x^2}  

13.

Multiply and Simplify 

 x+34x+2x2+4x+3\frac{x+3}{4}\cdot\frac{x+2}{x^2+4x+3}  



a)

 4(x+3)x+2\frac{4\left(x+3\right)}{x+2}  

b)

 x+24(x+1)\frac{x+2}{4\left(x+1\right)}  

c)

 x+24(x+3)\frac{x+2}{4\left(x+3\right)}  

d)

 4(x+1)x+2\frac{4\left(x+1\right)}{x+2}  

14.

Divide the Rational Expression

 6k4÷k+6k2+2k24\frac{6}{k-4}\div\frac{k+6}{k^2+2k-24}  

a)

 9k4\frac{9}{k-4}  

b)

 k+78\frac{k+7}{8}  

c)

 66  

d)

 k3k-3  

15.

Multiply the expressions

 (n1)(n5)2(n+3)2(n+3)n5\frac{\left(n-1\right)\left(n-5\right)}{2\left(n+3\right)}\cdot\frac{2\left(n+3\right)}{n-5}  



a)

 n1n-1  

b)

 2(n1)n+3\frac{2\left(n-1\right)}{n+3}  

c)

 2(n1)2\left(n-1\right)  

d)

 11  

16.

Multiply the expression

 r87(r+2)7(r+2)r+2\frac{r-8}{7\left(r+2\right)}\cdot\frac{7\left(r+2\right)}{r+2}  

a)

 7(r2)r+2\frac{7\left(r-2\right)}{r+2}  

b)

 r8r+2\frac{r-8}{r+2}  

c)

 r+27\frac{r+2}{7}  

d)

 r87\frac{r-8}{7}  

17.

Simplify the expression.

a)
b)
c)
d)
18.

Divide the Rational Expression

a)

A

b)

B

c)

C

d)

D

19.

Divide the expression  x+86(x+10)÷(x+8)(x8)(x+10)(x8)\frac{x+8}{6\left(x+10\right)}\div\frac{\left(x+8\right)\left(x-8\right)}{\left(x+10\right)\left(x-8\right)}  

a)

 16\frac{1}{6}  

b)

 (x+10)6x+60\frac{\left(x+10\right)}{6x+60}  

c)

 x+86x+60\frac{x+8}{6x+60}  

d)

 (x+10)(x+8)6x+60\frac{\left(x+10\right)\left(x+8\right)}{6x+60}  

20.
Multiply and Simplify
a)
(n-10)/8n+56
b)
(n-10)(n+7)/8n+56
c)
(n-10)/8
d)
(n+10)/8
21.
Divide and Simplify
a)
1/6
b)
x+10/ 6x+60
c)
x+8/ 6x+60 
d)
(x+10)(x+8)/ 6x+60
22.

What is the first step when factoring polynomials?

a)

Find the GCF

b)

List all the terms

c)

Make the X and fill in the top and bottom

d)

Multiply a and c

23.

What is the common monomial factor of  6x3+3x212x6x^3+3x^2-12x  ?

a)

 33  

b)

 2x2x  

c)

 3x3x  

d)

 3x23x^2