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Practice Final part 1 Integrated math 2

Total questions: 33

Worksheet time: 8hrs 15mins

Name
Class
Date
1.
3p - 1 = 5
a)

3

b)

2

c)

1

d)

0

2.
7x - 11 = 5x + 25
a)
18
b)
17
c)
16
d)
15
3.

15f + 12 - 9 - 11f = 43

a)

f = - 9

b)

f = 11

c)

f = - 8

d)

f = 10

4.

8v - v + 8 = 22

a)

2

b)

10

c)

4

d)

-4

5.
Simplify   (2m4)(5m2)
a)
10m6
b)
10m8
c)
7m6
d)
7m8
6.

Simplify:  9h63h3\frac{9h^6}{3h^3}  

a)

 3h93h^9  

b)

 3h3 3h^{3\ }  

c)

 3h183h^{18}  

d)

 h3 h^{3\ }  

7.

Simplify using your exponent rule(s) (2x3y)6

a)

2x18y6

b)

64x18y6

c)

64x3y6

d)

2x3y6

8.

Select ALL that are correct.

Simplify the following:  (2x4y3)1\left(2x^4y^{-3}\right)^{-1}  

a)

 21x4y32^{-1}x^{-4}y^3  

b)

 2x4y3-\frac{2}{x^4y^3}  

c)

 12x4y3\frac{1}{2x^4y^3}  

d)

 y32x4\frac{y^3}{2x^4}  

9.

Simplify the following:  (2v)22v2\left(2v\right)^2\cdot2v^2  

a)

 2v42v^4  

b)

 8v38v^3  

c)

 22v42^2v^4  

d)

 8v48v^4  

10.

Simplify the following
(no negative exponents):
 4a3b23a4b34a^3b^2\cdot3a^{-4}b^{-3}  

a)

 7a1b17a^{-1}b^{-1}  

b)

 12ab\frac{12}{ab}  

c)

 12ab12ab  

d)

 12a12b6\frac{12}{a^{12}b^6}  

11.

 Simplify the following
(no negative exponents):

 (10a3)0\left(-10a^3\right)^0 

a)

 10a3-10a^3  

b)

 11  

c)

 00  

d)

undefined

12.
What is the degree classification of this polynomial?
x²+4x-8
a)
binomial
b)
trinomial
c)
quadratic
d)
cubic
13.
What is the term classification of the following polynomial?
x³-7x²+3
a)
monomial
b)
binomial
c)
trinomial
d)
polynomial
14.
Which is an example of a cubic binomial?
a)
x³+5
b)
x²+3
c)
x²+5x-6
d)
5x³
15.
Add the following polynomials
(x³-6x²+3)+(3x³+4x-1)
a)
4x³-2x²+2
b)
4x³-6x²+4x+2
c)
-2x³+2x+2
d)
4x³-2x²-2
16.
Subtract the following polynomials:
(3x²-3x+2)-(x²-2x+1)
a)
2x²+x+1
b)
2x²-5x+3
c)
2x²-x+1
d)
4x²-5x+3
17.
(x + 7)(x + 9)
a)
x2 + 63x + 16
b)
x2 + 16x + 63
c)
x2 + 79
d)
x2 + 16x + 2
18.
(x-3)(x2+2x+7)
a)
x3-x2+x-21
b)
x3+5x+13x-21
c)
x3-3x2+7x-21
d)
x2+2x-3
19.

Find the product.

5x(2x + 3)

a)

10x2 + 15x

b)

7x + 15x

c)

7x2 + 8x

d)

25x2

20.
Find the product.
(x + 7)2
a)
x+ 7x + 7x + 49
b)
x+ 7x + 7
c)
7x+ x + 7
d)
x2 + 14x + 49
21.
Simplify the expression.
-3x2( 7x- x + 4)
a)
-21x4 + 3x3 -12x2
b)
7x2 - x + 4 (-3x2)
c)
21x+ 3x+ 12x2
d)
-12x+ 3x-21x4
22.
(x + 12)(x - 12)
a)
x2 - 144
b)
x2 + 144
c)
x2 + 12x - 144
d)
x2 - 12x + 144
23.
x- 16
a)
Prime
b)
( x - 4) ( x + 4) 
c)
( x - 8) ( x + 8) 
d)
( x - 4) ( x - 4) 
24.
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)
25.
Factor
k2+7x+10
a)
(k+2)(k+5)
b)
(k-2)(k-5)
c)
(k+10)(k+4)
d)
(k+2)(k-5)
26.

What are the zeros of the function: Factor then solve

f(x) = x2 + x - 42

a)

7 and -6

b)

1 and 42

c)

-7 and 6

d)

8 and -3

27.

Solve by factoring: x2 - 6x + 5 = 0

a)

-3 and -2

b)

-6 and 1

c)

5 and 1

d)

-1 and -5

28.

How else can you write  x\sqrt{x}  ?

a)

 x12x^{\frac{1}{2}}  

b)

 x2x^2  

c)

 x2x^{-2}  

d)

 x14x^{\frac{1}{4}}  

29.

Which radical expression is equivalent to x18x^{\frac{1}{8}}  

a)
b)
c)
d)
30.

Which exponential expression is equivalent to

a)
b)
c)
d)
31.

a)
b)
c)
d)
32.
Rewrite in Exponential Form.
a)
A
b)
B
c)
C
d)
D
33.
a)
A
b)
B
c)
C
d)
D