Free Printable AA2 Final Review

1.

What family of function is this?

a)

Cubic

b)

Cube Root

c)

Absolute Value

d)

Logarithmic

2.

What family of function is this?

a)

Logarithmic

b)

Linear

c)

Absolute Value

d)

Quadratic

3.

Condense: $\log_2\left(5\right)+\log_2\left(x\right)$

a)

$\log_2\left(5\right)$

b)

$\log_2\ \left(\frac{5}{x}\right)$

c)

$\log_2\ \left(\frac{x}{5}\right)$

d)

$\log_2\left(5x\right)$

4.

Condense: $\log_b\left(m\right)-\log_b\left(n\right)$

a)

$\log_b\left(mn\right)$

b)

$\log_b\ \left(\frac{n}{m}\right)$

c)

$\log_b\ \left(\frac{m}{n}\right)$

d)

$\log_b\left(m\right)$

5.

Solve for x: log₅(4x-7)=log₅(x+5)

a)

3

b)

12

c)

4

d)

7

6.

What is the factored form of the expression? $x^2-16$

a)

$\left(x-4\right)\left(x+4\right)$

b)

$\left(x-8\right)\left(x+8\right)$

c)

$\left(x-4\right)\left(x-4\right)$

d)

$\left(x-8\right)\left(x-8\right)$

7.

What is the factored form of the expression? $x^2+x-6$

a)

$\left(x-3\right)\left(x+2\right)$

b)

$\left(x+1\right)\left(x-6\right)$

c)

$\left(x-2\right)\left(x+3\right)$

d)

$\left(x-2\right)\left(x-3\right)$

8.

If $\left(x-3\right)$ is a factor of $x^2+x-12$ , then the other factor is?

a)

$\left(4x-3\right)$

b)

$\left(3x-4\right)$

c)

$\left(x-4\right)$

d)

$\left(x+4\right)$

9.

Written in factored form, the trinomial $2y^2+26y+80$ is equivalent to:

a)

$2\left(y-5\right)\left(y-8\right)$

b)

$\left(2y+5\right)\left(y+8\right)$

c)

$2\left(y+5\right)\left(y+8\right)$

d)

$\left(y+5\right)\left(2y+16\right)$

10.

When factored completely, $x^3-9x$ is equivalent to:

a)

$x\left(x-3\right)$

b)

$x\left(x+3\right)\left(x-3\right)$

c)

$\left(x+3\right)\left(x-3\right)$

d)

$x\left(x+3\right)$

11.

Factor the trinomial completely. $x^2-x-30$

a)

$\left(x+1\right)\left(x-30\right)$

b)

$\left(x+5\right)\left(x-6\right)$

c)

$\left(x+6\right)\left(x-5\right)$

d)

$prime$

12.

Factor the trinomial completely. $x^2-6x-72$

a)

$\left(x-12\right)\left(x+6\right)$

b)

$\left(x-72\right)\left(x+1\right)$

c)

$\left(x+12\right)\left(x-6\right)$

d)

$prime$

13.

Factor:

6x² + 5x − 6

a)

6(x + 1)(x − 6)

b)

(6x + 6)(x − 1)

c)

(2x − 3)(3x + 2)

d)

(3x − 2)(2x + 3)

14.

$\log_2\left(b+9\right)=2$

a)

x=11

b)

x=-7

c)

x=-5

d)

$x=\frac{1000}{7}$

15.

Rewrite log_x95 = 2.3

a)

x^2.3 = 95

b)

95^2.3 = x

c)

2.3⁹⁵ = x

d)

x⁹⁵= 2.3

16.

Rewrite as an exponential: $\log_7\left(\frac{1}{49}\right)=-2$

a)

$7^{\frac{1}{49}}=-2$

b)

$\left(\frac{1}{49}\right)^{-2}=7$

c)

$7^{-2}=\frac{1}{49}$

d)

$\left(-2\right)^7=\frac{1}{49}$

17.

Evaluate the following logarithm:

log₅5

a)

1

b)

0

c)

-1

d)

¹/₂

18.

Convert 16 = 2^x to a Log

a)

Log₂(x) = 16

b)

Log₂(16) = x

c)

Log₁₆(x) = 2

d)

Log_x(16) = 2

19.

If f(x) = x³ is changed to f(x) = (x + 3)³ + 2, how is the graph transformed?

a)

2 units right,

3 units up

b)

3 units right,

2 units up

c)

2 units left,

3 units up

d)

3 units left,

2 units up,

20.

Describe the transformation of the graph y = (x)³ + 6

a)

Right 6

b)

Left 6

c)

Up 6

d)

Down 6

21.

What is the equation of the graph shown?

a)

y= (x-2)³ + 4

b)

y= (x+2)³+ 4

c)

y = - (x-2)³+ 4

d)

y= - (x+2)³ + 4

22.

Which of the following is the graph of y = (x – 1)³ – 7?

a)

b)

c)

d)

23.

Solve: |2x|=8

a)

$x=-4$

b)

$x=4$

c)

x=\pm4

24.

Solve: |x+1|=3

a)

$x=2$

b)

$x=-4$

c)

$x=\left\{2,-4\right\}$

25.

Solve

\left|2x+1\right|=5

a)

$x=\left\{2,-3\right\}$

b)

$x=2$

c)

$x=-3$

26.

Solve: 3|x|-3=9

a)

$x=4$

b)

$x=-4$

c)

$x=\pm4$

27.

What is the first step?

a)

Get absolute value alone by subtracting 5 from both sides

b)

Get absolute value alone by dividing by 5 on both sides

c)

Split into two equations

28.

What is the first step?

a)

Drop the absolute value bars by splitting into two equations

b)

Add 2 to both sides

AA2 Final Review

Total questions: 28

Worksheet time: 28mins

Similar Resources on Wayground