Free Printable Review Test #8

1.

a)

b)

c)

d)

e)

It is not possible.

2.

Given matrices A & B: A is a (4 X 5) matrix B is a (5 X 1) matrix What are the dimensions of the product of A times B?

a)

4x1

b)

4x33

c)

33x1

d)

Matrix does not exist

3.

Subtract

a)

3 -8
0 -1

b)

3 -4
8 -13

c)

-3 8
0 1

d)

3 -8
-8 1

4.

Find the determinant's value

(a)

5.

Calculate the determinant

(a)

6.

Find -2C + 5D

a)

b)

c)

d)

Does Not Exist

7.

Which of the following is the inverse of the matrix

A= ⌈3 0⌉

⌊0 2⌋

a)

[1/2 0]

[0 1/3]

b)

[-3 0]

[0 -2]

c)

⌈1/3 0⌉

⌊0 1/2⌋

d)

[2 0]

[0 3]

8.

multiply

a)

undefined

b)

c)

d)

9.

find: B*A

a)

47 30
9 5

b)

17 15
42 35

c)

10 25
7 1

d)

not possible because rows do not match columns

10.

Name this Function:

a)

Constant

b)

Linear

c)

Simple Rational

d)

Cubic

11.

What is the equation of the quadratic function obtained from vertically compressing the parent function by 3/5 and then shifted up 8 units?

a)

f(x)= 3/5(x-8)²

b)

f(x)=3/5x²+8

c)

f(x)=x²

d)

f(x)=3/5x²-8

12.

What is the equation of the parabola

a)

$y=\ -2\left(x+5\right)^2-1$

b)

$y\ =\ -2\left(x-5\right)^{2\ }-1$

c)

$y\ =\ \frac{5}{2}\left(x+5\right)^2+1$

d)

$y=-\frac{5}{2}\left(x+5\right)^2\ +1$

13.

When is this function decreasing?

a)

(-3, 3)

b)

(-∞, -3) U (3, ∞)

c)

(∞, -3] U [3, -∞)

d)

[-3, 3]

14.

Describe the end behavior of the graph.

a)

down, down

b)

down, up

c)

up, down

d)

up, up

15.

Decompose the fraction.

a)

b)

c)

d)

16.

Name this Function:

a)

Constant

b)

Quadratic

c)

Square Root

d)

Cubed Root

17.

Which function has this end behavior?

Down, Up

a)

-x²-3x+1

b)

-x³+2x²+3

c)

x⁴+3x³-4x+1

d)

x⁵-4x⁴+2x²-1

18.

Complete the process to find values of A and B.

a)

A = 1, B = 5

b)

A = -1/6, B = 1/6

c)

A = 1/6, B = 1/6

d)

A = 6, B = 1

19.

$If\ \frac{7-x}{\left(x-1\right)\left(2x+1\right)}\equiv\frac{A}{x-1\ }+\ \frac{B}{2x+1}.\ Find\ \ A\ and\ B$

a)

2 and 5

b)

-5 and -2

c)

2 and -5

d)

2 and -2

20.

Find the partial fraction decomposition.

a)

b)

c)

d)

21.

Find the partial fraction decomposition of $\frac{-x+34}{x^2-3x-4}$

a)

$\frac{6}{x-4}+\frac{7}{x+1}$

b)

$\frac{6}{x-4}-\frac{7}{x+1}$

c)

$\frac{6}{x+4}+\frac{7}{x-1}$

d)

$\frac{6}{x+4}-\frac{7}{x-1}$

22.

Which equation is graphed above?

a)

$y=-\left(x-1\right)^2+4$

b)

$y=\left(x-1\right)^2+4$

c)

$y=-\left(x-4\right)^2+1$

d)

$y=\left(x-4\right)^2+1$

23.

Add

a)

11 8
-4 2

b)

3 2
-6 -6

c)

-3 2
-4 -6

d)

10 8
-6 2

24.

Subtract

a)

-5
-8
3
10

b)

-9
8
3
2

c)

5
-8
3
10

d)

-5
8
3
2

25.

Perform the indicated operation. If it’s not possible, select Not Possible.

a)

7
-7
-6
20

b)

7
-9
-6
20

c)

Not Possible

d)

7
-9
2
20

26.

Multiply

a)

20 15 -10
30 -5 0

b)

-20 15 -10
30 -5 0

c)

1 8 3
11 4 5

d)

20 -15 10
-30 5 0

27.

Find (Y + Z) + 2X

a)

b)

c)

d)

Does Not Exist

28.

Calculate the following scalar multiplication.

a)

b)

c)

d)

29.

What is the inverse of the following matrix?
⌈4 −3⌉
⌊12 3⌋
*det= 38

a)

⌈³∕₃₈ ³∕₃₈⌉
⌊−⁶∕₁₉ ²∕₁₉⌋

b)

⌈⁴∕₃₈ −³∕₃₈⌉
⌊¹²∕₃₈ ³∕₃₈⌋

c)

⌈²∕₁₉ −³∕₃₈⌉
⌊−⁶∕₁₉ ³∕₃₈⌋

d)

⌈³∕₃₈ ³∕₃₈⌉
⌊−¹²∕₃₈ ⁴∕₃₈⌋

30.

Find the inverse of the matrix.

a)

b)

c)

d)

No Inverse Exists

Review Test #8 - Algebra 3

Total questions: 30

Worksheet time: 6hrs 1mins

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