Free Printable Unit 5-6 Algebra 2 Final Exam Review

1.

(2i)(3i)

a)

5i

b)

-5

c)

6i

d)

-6

2.

a)

6i√5

b)

-8√5

c)

8i√5

d)

-8i√5

3.

a)

7

b)

-7

c)

7i

d)

-7i

4.

$i^6$

a)

$i$

b)

-1

c)

$-i$

d)

1

5.

Simplify the expression to a + bi form: (-6 - 9i)(-11 - 7i)

a)

3 + 141i

b)

3 - 141i

c)

3 + 45i

d)

3 - 45i

6.

Simplify the expression to a + bi form: (-10 + 9i) + (-5 - 5i)

a)

-15 + 4i

b)

-5 + 14i

c)

-15 - 14i

d)

-5 - 4i

7.

Simplify the expression to a + bi form: (11 - 9i)(2 - 3i)

a)

-5 - 51i

b)

-5 + 51i

c)

13 - 27i

d)

13 + 27i

8.

Simplify the radical expression:
$\sqrt{2x^2y^3}$

a)

$2y\sqrt{xy}$

b)

$2x\sqrt{y^2}$

c)

$y\sqrt{2xy}$

d)

$xy\sqrt{2y}$

9.

Simplify the radical expression:
$\sqrt{27m^7p^{4\ }}$

a)

$3m\sqrt{3m^3p^2}$

b)

$3m^3p^2\sqrt{3m}$

c)

$9mp\sqrt{3m}$

d)

$9m^3p^2\sqrt{3m}$

10.

Simplify the expression

a)

9√33

b)

9√11

c)

8√11

d)

They aren't like terms

11.

$9\ \sqrt[]{21}-\ 3\ \sqrt[]{21}$

a)

$12\ \sqrt[\ ]{21}$

b)

$6\ \sqrt[]{21}$

c)

$27\sqrt[]{21}$

12.

Simplify

$3\ \sqrt[]{10}+\ \sqrt[]{75}-2\ \sqrt[]{40}-4\ \sqrt[]{12}$

a)

$-\ \sqrt[]{10}-\ \sqrt[]{3}$

b)

$-\ \sqrt[]{10}+3\ \sqrt[]{3}$

c)

$-\ \sqrt[]{10}-3\ \sqrt[]{3}$

d)

$\sqrt[]{10}-3\ \sqrt[]{3}$

13.

(2x³ + 5x² + 9) ÷ (x + 3)

a)

2x² - x + 3

b)

2x³ - x² + 3x

c)

2x² + 11x + 33 + 108/x+3

d)

2x² - 5x + 12

14.

(2x³ - 5x - 7) ÷ (x - 2)

a)

2x³ - 4x² + 3x - 13

b)

2x³ + 4x² +3x - 1

c)

2x² - 4x + 3 - 13/x-2

d)

2x² + 4x + 3 - 1/x-2

15.

a)

2a⁴b⁴

b)

4a³b⁴

c)

4a⁸b⁵

d)

2a⁴b³

16.

a)

5x⁷

b)

6x¹²

c)

6x⁷

d)

5x¹²

17.

What is the value of:
$\left(\frac{3}{4}\right)^0$

a)

1

b)

0

c)

$\frac{3}{4\ }$

d)

$\frac{3}{16}$

18.

Simplify the following:
(x²y)⁵

a)

x⁷y⁵

b)

x²y⁵

c)

x¹⁰y⁵

d)

x⁵y⁵

19.

Re-write the following with a positive exponent: $\frac{1}{x^{-8}}$

a)

$x^8$

b)

$\frac{1}{x^{-8}}$

c)

8x

d)

$\frac{1}{8}x$

20.

(y⁹)^-2

a)

y¹⁸

b)

y¹¹

c)

1/y¹⁸

d)

y⁹/2

21.

Simplify: $\frac{12x^5y^4}{4x^3y^7}$

a)

$\frac{3x^2}{y^3}$

b)

$3x^2y^3$

c)

$\frac{8x^2}{y^3}$

d)

$\frac{8y^3}{x^2}$

22.

x-intercepts

a)

-4 and 0

b)

-1 and -2

23.

y-intercept

a)

1

b)

-1/2

24.

Name the Vertex

a)

(3, -4)

b)

(-3, -4)

25.

What are the x-intercepts for y = x² + 4x + 3

a)

-1 and -3

b)

1 and 4

26.

If given the equation
y = 3(x + 5)² - 4,
what is the vertex of the parabola?

a)

(5, -4)

b)

(-5, -4)

c)

(-15, -4)

d)

(15, -4)

27.

$y=x^2+6x+8$
Give the coordinates of the y-intercept.

a)

$\left(0,\ 8\right)$

b)

$\left(8,\ 0\right)$

c)

$\left(0,\ -6\right)$

28.

What value of c would make this a perfect sqaure trinomial?
x² +8x + c

a)

4

b)

16

c)

64

d)

-16

29.

What value of c would make this a perfect square trinomial?
x² + 2x + c

a)

2

b)

4

c)

-2

d)

1

Unit 5-6 Algebra 2 Final Exam Review

Total questions: 29

Worksheet time: 2hrs 5mins

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