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Concept Check 2 Quiz review

Total questions: 25

Worksheet time: 1hrs 15mins

Name
Class
Date
1.
If A = {1, 2, 3, 4, 5, 6} and B = {1, 2, 3, 5, 7, 9} What is A ⋂ B?
a)
{1, 2, 3, 4, 5, 6, 7, 9}
b)
{1, 2, 3, 5}
c)
{4, 6, 7, 9}
d)
{ }
2.

If Set A = {MICHAEL} and Set B = {JORDAN}, what is A ⋃ B?

a)

{MICHAELJORDAN}

b)

{MICHAELJORDN}

c)

{A}

d)

{ }

3.
Simplify the following expression:
-8 (5b + 2) -7 (b - 5)
a)
-33b + 19
b)
-47b2 +  21
c)
33b - 19
d)
-47b -19
4.

Simplify the following:

 4x2+2[3(x2+4)7]4x^2+2-\left[3\left(x^2+4\right)-7\right]  

a)

 7x2177x^2-17  

b)

 x217x^2-17  

c)

 7x23-7x^2-3  

d)

 x23x^2-3  

5.

Simplify:  50r6n72n2r4\frac{50r^6n^{-7}}{2n^2r^4}  

a)

 25r4n525r^4n^5  

b)

 25r4n5\frac{25r^4}{n^5}  

c)

 25r2n9\frac{25r^2}{n^9}  

d)

 25r2n925r^2n^{-9}  

6.
a)

16x16z32y28\frac{16x^{16}z^{32}}{y^{28}}

b)

16x16z32y28\frac{-16x^{16}z^{32}}{y^{28}}

c)

x16z3216y28\frac{x^{16}z^{32}}{16y^{28}}

d)

8x8y3z12-8x^{-8}y^3z^{-12}

7.

 (8p107r3)2\left(\frac{-8p^{10}}{7r^3}\right)^{^2} 

a)

-64p20/ 49r6

b)

64p20/ 49r6

c)

-8p20/ 14r6

d)

-64p12/ 49r5

8.
Simplify
-3√24 - √18 - 2√54=
a)
-12√5 - 3√2
b)
-12√6 - 3√2
c)
-3√2+ 12√3
d)
3√2
9.
Divide and simplify.
a)
4x√x
b)
3x2/x3√36
c)
2x
d)
4x2
10.
a)
b)
c)
11.

Rationalize each denominator. Simplify the answer. 41 +3\frac{4}{1\ +\sqrt{3}}   

a)

 2 232\ -2\sqrt{3}  

b)

 2 +23-2\ +2\sqrt{3}  

c)

 4 234\ -2\sqrt{3}  

d)

 4 23-4\ -2\sqrt{3}  

12.

Rationalize the following: 23+5\frac{\sqrt{2}}{\sqrt{3}+\sqrt{5}}  

a)

 6108\frac{\sqrt{6}-\sqrt{10}}{8}  

b)

 6102\frac{\sqrt{6}-\sqrt{10}}{-2}  

c)

 6+108\frac{\sqrt{6}+\sqrt{10}}{8}  

d)

 23+252\frac{2\sqrt{3}+2\sqrt{5}}{-2}  

13.

Simplify the expression:

√5 / √10

a)

5√2 / 10

b)

√2 / 2

c)

2√2

d)

5√50 / 10

14.
Find the difference. 
(3- 2x + 2x2) - (4x -5 +3x2)
a)
x2 + 6x + 8
b)
2x+ 5x - 7
c)
-x2 -6x + 8
d)
-2x2 + 11x - 4
15.

(5x4 – 4x3 – 2x2 + x – 19) – (x4 + 5x3 + 8x2 + x + 5)

a)

4x4 – 9x3 – 10x2 – 24

b)

4x4 – 9x3 – 10x2 – 2x – 24

c)

4x4 – 9x3 – 10x2 + 2x – 24

d)

-4x4 – 9x3 – 10x2 – 24

16.
(5x+2)(x2-3x+6)
a)
5x3 - 17x2 +24x +12
b)
5x3 + 17x2 - 24x +12
c)
5x3 - 13x2 + 24x +12
d)
5x3 +13x2 - 24x - 12
17.
(n2 + 6n − 4)(2n − 4)
a)
2n3 + 16n2 − 32n + 16
b)
2n3 + 8n2 − 32n + 16
c)
2n3 + 8n2 − 12n + 16
d)
2n3 + 8n2 − 32n - 16
18.
(2x + y)(x +4y)
a)
2x2 + 8xy + 4y2
b)
2x2 + 9xy + 4y2
c)
2x2 + 4y2
d)
2x + 9xy + 4y
19.
Factor the polynomial. 
x2-4x-32
a)
(x-8)(x+4)
b)
(x-4)(x-32)
c)
(x+3)(x-4)
d)
x+2)(x+5)
20.

25x2 - 36y2

a)

5x + 6y(5x - 6y)

b)

(5x + 6y) (5x - 6y)

c)

(5x + 6y)2

d)

(5x - 6y)2

21.

4x2 - 25

a)

(2x + 5) (2x - 5)

b)

(2x - 5)2

c)

(2x + 5)2

d)

2x + 5(2x - 5)

22.
a)

A

b)

B

c)

C

d)

D

23.
a)

A

b)

B

c)

C

d)

D

24.
a)

A

b)

B

c)

C

d)

D

25.
a)

A

b)

B

c)

C

d)

D