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Algebra II - Quiz 2

Total questions: 30

Worksheet time: 5hrs 0mins

Name
Class
Date
1.
a)
b)
c)
d)
2.
a)

A

b)

B

c)

C

d)

D

3.
a)

A

b)

B

c)

C

d)

D

4.
a)

A

b)

B

c)

C

d)

D

5.
a)

A

b)

B

c)

C

d)

D

6.
a)
b)
c)
d)
7.
a)

You can't divide by 0, and both A and B have 0 in them.

b)

The number of columns in A is not the same as the number of rows in B.

c)

The number of rows in A and B are the same.

d)

The number of columns in A and B are the same.

8.
a)

A

b)

B

c)

C

d)

D

9.
a)
b)
c)
d)
10.
a)

A

b)

B

c)

C

d)

D

11.
a)

A

b)

B

c)

C

d)

D

12.
a)

A

b)

B

c)

C

d)

D

13.

Given f(x)=2x29x+2f\left(x\right)=2x^2-9x+2  

g(x)=16xg\left(x\right)=1-6x  

h(x)=x24h\left(x\right)=x^2-4  

Find (f - g)(x)

a)

2x23x+12x^2-3x+1  

b)

2x215x+12x^2-15x+1  

c)

2x23x+32x^2-3x+3  

d)

2x215x+32x^2-15x+3  

14.

Given f(x)=2x29x+2f\left(x\right)=2x^2-9x+2  

g(x)=16xg\left(x\right)=1-6x  

h(x)=x24h\left(x\right)=x^2-4  

Find (g + f)(x)

a)

2x23x+12x^2-3x+1  

b)

2x215x+12x^2-15x+1  

c)

2x23x+32x^2-3x+3  

d)

2x215x+32x^2-15x+3  

15.

Given f(x)=2x29x+2f\left(x\right)=2x^2-9x+2  

g(x)=16xg\left(x\right)=1-6x  

h(x)=x24h\left(x\right)=x^2-4  

Find (g . h)(x)

a)

x26x3x^2-6x-3  

b)

6x3+x2+24x4-6x^3+x^2+24x-4  

c)

x2+24xx^2+24x  

d)

6x3+x2+24x+46x^3+x^2+24x+4  

16.

Given f(x)=2x29x+2f\left(x\right)=2x^2-9x+2  

g(x)=16xg\left(x\right)=1-6x  

h(x)=x24h\left(x\right)=x^2-4  

Find (hg)(x)\left(\frac{h}{g}\right)\left(x\right)  

a)

16xx24\frac{1-6x}{x^2-4}  

b)

2x29x+216x\frac{2x^2-9x+2}{1-6x}  

c)

x2416x\frac{x^2-4}{1-6x}  

d)

x242x29x+2\frac{x^2-4}{2x^2-9x+2}  

17.

Given f(x)=2x29x+2f\left(x\right)=2x^2-9x+2  

g(x)=16xg\left(x\right)=1-6x  

h(x)=x24h\left(x\right)=x^2-4  

Find (g  h)(x)\left(g\ \circ\ h\right)\left(x\right)  

a)

6x2+25-6x^2+25  

b)

6x2+24x+1-6x^2+24x+1  

c)

6x23-6x^2-3  

d)

6x2+5-6x^2+5  

18.

Given f(x)=2x29x+2f\left(x\right)=2x^2-9x+2  

g(x)=16xg\left(x\right)=1-6x  

h(x)=x24h\left(x\right)=x^2-4  

Find (f  h)(2)\left(f\ \circ\ h\right)\left(2\right)  

a)

0

b)

c)

8

d)

10

19.

Given f(x)=2x29x+2f\left(x\right)=2x^2-9x+2  

g(x)=16xg\left(x\right)=1-6x  

h(x)=x24h\left(x\right)=x^2-4  

Find (hg)(7)\left(h-g\right)\left(-7\right)  

a)

45

b)

43

c)

2

d)

-2

20.

Composition of function notation

a)

A.

(f  g)(x)\left(f\ \circ\ g\right)\left(x\right)  

b)

B.

f(g(x))f\left(g\left(x\right)\right)  

c)

C.

d)

D.

Both A. and B.

21.

The composition (f  g)(x)\left(f\ \circ\ g\right)\left(x\right)  is defined as f(g(x))f\left(g\left(x\right)\right)  

a)

True

b)

False

22.

The composition (f  g)(x)\left(f\ \circ\ g\right)\left(x\right)  is defined as (f . g)(x)\left(f\ .\ g\right)\left(x\right)  

a)

True

b)

False

23.

(f±g)(x)=f(x)±g(x)\left(f\pm g\right)\left(x\right)=f\left(x\right)\pm g\left(x\right)  

a)

True

b)

False

24.

Solve

-9|x + 8| = -99

a)

3

b)

-19

c)

3 and -19

d)

No solution

25.

Solve

5y - 3 = |y + 9|

a)

3

b)

-1

c)

3 and -1

d)

No solution

26.

If |x| = 33, what are the possible value of x?

a)

33

b)

-33

c)

33 or -33

27.

Solve

|2k| + 50 = 34

a)

8

b)

-8

c)

8 and -8

d)

No solution

28.

Solve

x765\left|\frac{x}{7}\right|-6\ge-5  

a)

(,7][7, )\left(-\infty,-7\right]\cup\left[7,\ \infty\right)  

b)

(,7)(7, )\left(-\infty,-7\right)\cup\left(7,\ \infty\right)  

c)

[7, 7]\left[-7,\ 7\right]  

d)

(7, 7)\left(-7,\ 7\right)  

29.

Solve

94y6<549\left|4y-6\right|<54  

a)

(, 0][3, )\left(-\infty,\ 0\right]\cup\left[3,\ \infty\right)  

b)

(, 0)(3, )\left(-\infty,\ 0\right)\cup\left(3,\ \infty\right)  

c)

[0, 3]\left[0,\ 3\right]  

d)

(0, 3)\left(0,\ 3\right)  

30.
a)
b)
c)
d)