Free Printable Review - 3rd Nine Weeks Exam

1.

2) Solve the system of linear equations.

a)

(-1, 1, 2)

b)

(2, 1, -1)

c)

no solution

d)

infinitely many solutions

2.

4) Solve the system of linear equations.

a)

(1, -3, -4)

b)

(-1, 3, -4)

c)

no solution

d)

infinitely many solutions

3.

a)

A

b)

B

c)

C

d)

D

4.

What are the solutions to the system:
y = x² + 3x - 5
y = x + 3

a)

(-4, 2) and (-1, 5)

b)

(-4, -1) and (2, 5)

c)

(2, -1 and (-4, 5)

d)

(-4, 1) and (2, -1)

5.

Solve the System using ANY method:

y\ =\ x^2-6x+9

y\ =\ -2x+5

a)

(1, 2)

b)

(2, 1)

c)

(1, 2) and (2, 1)

d)

No solution! It is an Inconsistent System.

6.

Solve the System using ANY method:

y\ =\ -x^2+6x-9

y\ =\ x^2-2x-3

a)

(3, 0)

b)

(1, -4)

c)

(3, 0) and (1, -4)

d)

No solution! It is an Inconsistent System

7.

This is an example of: $f\left(x\right)=\ 0.25\ \left(\ 1.3\right)^x$

a)

Linear Growth

b)

Linear Decay

c)

Exponential Growth

d)

Exponential Decay

8.

This is an example of:

a)

Linear Growth

b)

Linear Decay

c)

Exponential Growth

d)

Exponential Decay

9.

Which of the following describes the transformation of $f\left(x\right)=\frac{1}{2}\cdot2^{\left(x+2\right)}-3$ from the parent graph $g\left(x\right)=2^x$

a)

Vertically shift down 3, horizontally shift left 2, and vertically compressed 1/2 units

b)

Vertically shift up 3, horizontally shift left 2, and vertically compressed 1/2 units

c)

Vertically shift down 3, horizontally shift right 2, and vertically compressed 1/2 units

d)

Vertically shift up 3, horizontally shift right2, and vertically compressed 1/2 units

10.

Solve: 7^-x = 49

a)

x = 1

b)

x = -1

c)

x = 2

d)

x = -2

11.

8^3x+3 = 8⁶

a)

x=28

b)

x=3

c)

x=1

d)

x=12

12.

Solve the following exponential equation:
$9^{8-x}=27^{x-3}$

a)

$x=5$

b)

$x=-5$

c)

$x=\frac{1}{5}$

d)

$x=-\frac{1}{5}$

13.

Find the determinant of the given matrix?

(a)

14.

Find the product of the two matrices.

a)

undefined

b)

-3 16
17 12
8 -10

c)

3 12
-15 -8
-1 -3

15.

Which of the following is the inverse of the matrix A=
⌈3 0⌉
⌊0 2⌋
*Inverse=
¹∕detA × ⌈d −b⌉ ⌊−c a⌋

a)

[1/2 0]
[0 1/3]

b)

[-3 0]
[0 -2]

c)

⌈1/3 0⌉
⌊0 1/2⌋

d)

[2 0]
[0 3]

16.

Which parent function matches the graph?

a)

f(x) = √(x)

b)

f(x) = ∛(x)

c)

f(x) = |x|

d)

f(x) = a⋅b^x

17.

Match the equation to its description.

a)

Right 2 and up 2

b)

Left 2 and up 2

c)

Right 2 and down 2

d)

Left 2 and down 2

18.

What is the range to this graph?

a)

$\left(-\infty,1\right]$

b)

$\left[1,\infty\right)$

c)

$\left(-\infty,-2\right)$

d)

$\left(-2,\infty\right)$

19.

The intervals in which the function f given by f (x) = x² – 4x + 6 is increasing is

a)

$\left(-\infty,\ 2\right)$

b)

$\left(2,\ \infty\right)$

c)

$\left(-\infty,\ \infty\right)$

d)

none of these

20.

Where is the function increasing?

a)

\left(1,\infty\right)

b)

$\left(2,\infty\right)$

c)

$\left(-\infty,1\right)$

d)

$\left(-\infty,2\right)$

21.

Describe the end behavior of the graph.

a)

x → ∞, y→ ∞ and
x→ ∞, y→⁻∞

b)

x → ∞, y→ ∞ and
x→⁻∞, y→∞

c)

None of these

d)

x →∞,y→⁻∞ and
x→∞, y→⁻∞

22.

Let f be a continuous function for which f(-2)=1 and f(5)=-3. The Intermediate Value Theorem guarantees that

a)

f(c)=2 for at least one c between -3 and 1

b)

f(c)=0 for at least one c between -2 and 5

c)

f(c)=0 for at least one c between -3 and 1

d)

f(c)=2 for at least one c between -2 and 5

23.

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)

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

24.

Find the partial fraction decomposition.

a)

b)

c)

d)

25.

Decompose the fraction.

a)

b)

c)

d)

Review - 3rd Nine Weeks Exam - Algebra 3 (Part 2)

Total questions: 25

Worksheet time: 6hrs 15mins

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