Free Printable Alg 2 Final Exam Review (3)

1.

Solve and graph the inequality.
77 ≤ 5 + 8n

a)

A

b)

B

c)

C

d)

D

2.

Solve: 3w = 30

a)

6

b)

9

c)

10

d)

12

3.

8 + 2c = 7c - 2

(a)

4.

45x - 168 = 3x

(a)

5.

When you graph an inequality, you used a closed dot when you use which symbols?

a)

≤, ≥

b)

<, >

6.

You flip an inequality symbol when you...

a)

subtract

b)

multiply and divide only

c)

multiple by a negative number

d)

multiple or divide by a negative number

7.

Graph after solving: $-2x+15<19$

a)

b)

c)

d)

8.

Find the factors of

5n² + 11n - 12

a)

(n - 4)(5n + 3)

b)

(5n - 4)(n + 3)

c)

(2n - 9)(n - 8)

d)

(3n + 10)(n + 10)

9.

Factor by GCF:
6m² + 16m

a)

2(3m² + 8m)

b)

2m(3m + 8)

c)

2m(3m - 8m)

d)

not factorable

10.

Does this parabola have a minimum or maximum and what is its value?

a)

minimum: 2

b)

maximum: 2

c)

minimum: 5

d)

maximum: 5

11.

Use the picture to find the vertex and axis of symmetry:

a)

Vertex (3,8) Axis x = 3

b)

Vertex (3,8) Axis y = 3

c)

Vertex (8,3) Axis x = 3

d)

Vertex (8,3) Axis y = 3

12.

Use the quadratic formula to find the solutions for

y = -x² - 5x + 12

a)

No Real Solution

b)

c)

d)

13.

Find the value of the discriminant in the following equation:

$a^2-10a-1=0$

(a)

14.

Simplify

a)

4i √2

b)

-4 √2

c)

2i √8

d)

-2 √8

15.

Simplify √-45

a)

3i√5

b)

-3i√5

c)

-i√45

d)

45i

16.

Given g(x) = f(x-3) + 5. What transformations took place from the original function f(x)?

a)

Left 3 up 5

b)

Right 3 down 5

c)

Left 3 down 5

d)

Right 3 up 5

17.

If the blue graph is the parent function, what is the equation of the red (transformed) function?

a)

g(x)=x³+1

b)

g(x)=x³-1

c)

g(x)=(x-1)³

d)

g(x)=(x+1)³

18.

What are the transformations of this functions compared to the parent function y = √(x)?

a)

Shifted right 5, shifted down 2, and reflected over the x-axis

b)

Reflected over the x-axis, vertical stretch, and shifted right 5

c)

Reflected over the x-axis, vertical stretch, and shifted left 5

d)

Shifted right 5, shifted down 2

19.

If $f\left(x\right)\ =\ x-1$ and $g\left(x\right)=5x-2$ , then $\left(f\cdot g\right)\left(x\right)=$

a)

$5x-3$

b)

$5x^2+2$

c)

$5x^2-7x+2$

d)

$5x-7$

20.

Find $(f-g)(2)$ if $f(x)=4x+10$ and $g(x)=3x-7$

(a)

21.

If f(x) = 2x² + 5x - 3, evaluate f(-1).

a)

f(-1) = -6

b)

f(-1) = 1

c)

f(-1) = -10

d)

f(-1) = -1

22.

Which graphs have an ODD degree? (Check all that apply)

a)

b)

c)

d)

e)

23.

Describe the end behavior of
f(x) = -5x⁴ - 2x² + 8

a)

Left side: Rises
Right side: Rises

b)

Left Side: Rises
Right side: Falls

c)

Left side: Falls
Right side: Rises

d)

Left side: Falls
Right side: Falls

24.

Use the Leading Coefficient Test to predict the graph end behavior.

a)

Falls left
Rises right

b)

Rises left
Falls right

c)

Rises left & right

d)

Falls left & right

25.

Use the Leading Coefficient Test to predict the graph end behavior.

a)

Falls left
Rises right

b)

Rises left
Falls right

c)

Rises left & right

d)

Falls left & right

Alg 2 Final Exam Review (3)

Total questions: 25

Worksheet time: 54mins

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