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Worksheets

Algebra 2 Quarter 2 Test Review

Total questions: 20

Worksheet time: 1hrs 26mins

Name
Class
Date
1.
Multiply.
(5x + 2)(x- 3x + 6)
a)
5x3 - 17x2 +24x +12
b)
5x3 + 17x2 - 24x +12
c)
5x3 - 13x2 + 24x +12
d)
5x3 +13x2 - 24x - 12
2.

Divide using synthetic division

(2x³ + 4x² - 5) by (x + 3).

a)

2x² + 2x - 4 - 12/(x + 3)

b)

2x² - 2x + 6 - 23/(x + 3)

c)

2x² - 2x + 8 - 20/(x + 3)

d)

2x² - 4x + 1

3.
FInd all zeros for the polynomial
f(x) = x4+8x2-9
a)
-1, ⅓, ±3i
b)
½, -1, ±3i
c)
1, -1, ±i√11
d)
1, -1, ±3i
4.

The degree and the sign of the leading coefficient of a polynomial determines the behavior of the ends for the graph. Determine the end behavior.


f(x) = -x5 - 4x +2

a)

Left up Right up

b)

Left up Right down

c)

Left down Right up

d)

Left down Right down

5.

Simplify using exponent rules.

a)

32x3y4

b)

32x9y13

c)

16x8y12

d)

16x6y7

6.

According to the Rational Root Theorem, which is NOT a possible rational root?

2x3 - 11x2 + 12x + 9 = 0

a)

3/2

b)

9/2

c)

4/5

d)

1/9

7.
p(x) = 3x + 4
q(x) = 2x2
Find q(p(-2))
a)
8
b)
-8
c)
28
d)
None of these.
8.
a)

A

b)

B

c)

C

d)

D

9.
Find the domain and range of the function
Hint:  Use a scratch graph to help you visualize things. 
a)
Domain: (-∞, ∞)  Range: [-∞, 4]
b)
Domain: [1, ∞)  Range: (-∞, 4]
c)
Domain: [-1. ∞) Range: [4, ∞) 
d)
Domain: [4, ∞) Range: [-1,∞) 
10.

What is the relative min(s)?

a)

(0, 36)

b)

(-2.55, -6.55), (2.55, -6.55)

c)

(-∞, ∞)

d)

None

11.

True or False:


In synthetic division, the “box number” is always the opposite sign of the

number in the binomial divisor

a)

True

b)

False

12.

True or False:


You must have an even number of imaginary roots

a)

True

b)

False

13.

True or False:


The maxima are the “bottoms of the valleys”.

a)

True

b)

False

14.

True or False:


If the two graphs reflect across the line y = 2x, then they are inverse functions.

a)

True

b)

False

15.

True or False:


The following function is translated down 4.

a)

True

b)

False

16.

Determine if x = 3 is a root of the polynomial.

y = 2x3 + 5x2 - 6x - 9

a)

Yes

b)

No

17.

Which of the following could be a root of

f(x) = x4 - 10x3 + 35x2 - 50x + 24

a)

(x + 1)

b)

(x - 5)

c)

(x + 2)

d)

(x - 2)

18.

Find all the real zeros of the function

y = 2x3 - 19x2 + 38x + 24 given that (x-4) is a factor.

a)

x = 1/2, -6

b)

x = -1/2, 6

c)

x = 4, -1/2, 6

d)

x = -4, 1/2, -6

19.
f(x)=x2-4
h(x)=3x+3
f(h(x))
a)
3x2-9
b)
12x2+8x+5
c)
16x2-36x+20
d)
9x2+18x+5
20.
f(x) = 3x + 10
g(x) = x - 2
Find f(g(5))
a)
19
b)
23
c)
-10
d)
None of these.