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Quiz #6 - Algebra 2

Total questions: 25

Worksheet time: 6hrs 1mins

Name
Class
Date
1.

Find the zeros of the function  f(x)=6x2+22x8f\left(x\right)=6x^2+22x-8  

a)

 26\frac{2}{6}  , -4

b)

 13-\frac{1}{3}  , -4

c)

 26-\frac{2}{6}  , -4

d)

 13\frac{1}{3}  , -4

2.

Find the zeros of the function  f(x)=x27xf\left(x\right)=x^2-7x  

a)

0, -7

b)

-7

c)

7

d)

0, 7

3.

Find the zeros of the function  f(x)= x281f\left(x\right)=\ x^2-81  

a)

9

b)

-9,9

c)

0, -9

d)

-9

4.

Find the factors of the function  f(x)= x225f\left(x\right)=\ x^2-25  

a)

x(x-25)

b)

(x-5)(x-5)

c)

(x-5)(x+5)

d)

x(x+25)

5.

Find the factors of the function  f(x)=7x228xf\left(x\right)=7x^2-28x  

a)

x(7x-28)

b)

 7(x24x)7\left(x^2-4x\right)  

c)

7x(x-4)

d)

 7x2(x4)7x^2\left(x-4\right)  

6.

Find the factors of the function:  x26x16x^2-6x-16  

a)

(x-8)(x+2)

b)

(x+8)(x-2)

c)

(x-16)(x+1)

d)

(x-16)(x+10)

7.

Find the factors of the function  f(x)=2x25x7f\left(x\right)=2x^2-5x-7  

a)

(2x_7)(x-1)

b)

(x-7)(2x+1)

c)

(2x-1)(x+7)

d)

(2x-7)(x+1)

8.

Find the zeros of the function f(x) = 3x220x73x^2-20x-7  

a)

-7,  13\frac{1}{3}  

b)

7,  13\frac{1}{3}  

c)

7,  13-\frac{1}{3}  

d)

-7,  13-\frac{1}{3}  

9.

Find the zeros of the function

 f(x)= x210x+21f\left(x\right)=\ x^2-10x+21  

a)

7, 3

b)

-7, -3

c)

1, 21

d)

-1, 21

10.
Factor: x2 + 2x – 3
a)
(x - 2)(x + 1)
b)
(x + 1)(x - 3)
c)
(x + 2)(x - 1)
d)
(x - 1)(x + 3)
11.
The equation y = x2 + 3x - 18 is graphed.  Based on this graph, what are the roots (x-intercepts) of the equation x2 + 3x - 18 = 0?
a)
-3 and 6
b)
0 and -18
c)
3 and -6
d)
3 and -18
12.
How many solutions (roots) does this graph have?
a)
one
b)
two
c)
no solutions
d)
cannot be determined
13.
Simplify: 
(10+ 15i) - (48 - 30i)
a)
58 - 45i
b)
58 - 15i
c)
-38 - 15i
d)
-38 + 45i
14.

What is  (35i)+(4+7i)\left(3-5i\right)+\left(-4+7i\right)  ? 

a)

 1+2i-1+2i  

b)

 712i7-12i  

c)

 1+2i1+2i  

d)

 2+3i-2+3i  

15.
Simplify √-81
a)
-√81
b)
-9i
c)
9i
d)
81i
16.
a)

6i√5

b)

-8√5

c)

8i√5

d)

-8i√5

17.

What is the conjugate of 4-3i?

a)

A. 1/(4-3i)

b)

B. 1/(4+3i)

c)

C. -4 + 3i

d)

D. 4 + 3i

18.
Simplify
a)
± 4i √2
b)
± 4 √2
c)
± 2i √8
d)
± 2 √8
19.

Multiply:

 (2+5i)(25i)\left(2+5i\right)\left(2-5i\right)  

a)

-21

b)

29

c)

29+10i

d)

-21+10i

20.
What is i129?
a)
-i
b)
i
c)
1
d)
-1
21.
i52
a)
i
b)
-i
c)
1
d)
-1
22.

Simplify

a)

(-10+6i)/17

b)

(1+50i)/61

c)

(-23+36i)/25

d)

(-21+33i)/34

23.

Solve (-3-5i)(2-6i)

a)

36 + 8i

b)

36 + 8i2

c)

-36 - 8i

d)

-36 + 8i

24.
a)
A
b)
B
c)
C
d)
D
25.
Multiply
(3i)(-2+4i)
a)
-6+12i
b)
-12-6i
c)
-2+7i
d)
12+6i