Free Printable Alegrbra II Semester Review

1.

Factor: $4x^2+1$

a)

(2x - 1)(2x - 1)

b)

(2x + 1)(2x - 1)

c)

(2x + 1)(2x + 1)

d)

(4x + 1)(x - 1)

2.

Factor $8x^2+10x+3$

a)

(4x+3)(2x+1)

b)

(4x+1)(2x+3)

c)

(8x+3)(x+1)

d)

(2x+3)(4x+1)

3.

Simplify: $\sqrt[2]{52}$

a)

13√2

b)

2√13

c)

4√13

d)

2√12

4.

Simplify: √63m³p

a)

3m√9mp

b)

3p√7m³

c)

3mp√7m

d)

3m√7mp

5.

Distribute: $\left(3x^2-5x+1\right)\left(7x^2+5x-4\right)$

a)

21x^4 + 5x^3 - 12x^2 - 35x^3 + 25x^2 - 20x - 7x^2 - 5x + 1

b)

21x^4 + 5x^3 - 12x^2 - 35x^3 + 25x^2 - 20x + 7x^2 - 5x + 4

c)

21x^4 + 5x^3 - 12x^2 - 35x^3 + 25x^2 - 20x + 7x^2 - 5x - 1

d)

21x^4 + 5x^3 - 12x^2 - 35x^3 + 25x^2 - 20x + 7x^2 - 5x + 1

6.

Distribute: $\left(x-4\right)^2$

a)

$x^2 - 8x + 16$

b)

$x^2 - 4$

c)

$x^2 - 16$

d)

$x^2 - 4x + 8$

7.

Solve by elimination: $4x+2y=8\ ;\ 3x+3y=9$

a)

x=2, y=1

b)

x=1, y=4

c)

x=4, y=3

d)

x=3, y=2

8.

Solve by elimination: $x-2y=4\ ;\ 2x+5y=19$

a)

x=6, y=1

b)

x=3, y=2

c)

x=5, y=3

d)

x=8, y=4

9.

Expand: 5(y+2)

a)

5y + 2

b)

5y + 10

c)

5y - 10

d)

10y + 5

10.

Find the vertex (X coordinate)
$f\left(x\right)=-x^2-4x+12$

a)

4

b)

6

c)

10

d)

-2

11.

Simplify: $\left(3x^3y^5\right)^4$

a)

81x^12y^20

b)

12x^3y^5

c)

81x^3y^5

d)

12x^20y^12

12.

Inverse coordinates of: (1,2) (3,8) (-3,6)

a)

(1,2), (8,3), (6,-3)

b)

(2,1), (8,3), (3,6)

c)

(2,1), (3,8), (-3,6)

d)

[(2,1), (8,3), (6,-3)]

13.

Solve for X: 2x+3(5x-7)=47

a)

x=2

b)

x=4

c)

x=6

d)

x=10

14.

Solve for X: 2x-3+4y= 27

a)

3

b)

5

c)

7

d)

9

15.

What equation below is a quadratic?

a)

3x + 4 = 0

b)

5x - 7 = 0

c)

4x^3 - 2x^2 + x - 3 = 0

d)

2x^2 + 3x - 5 = 0

16.

Simplify: $\sqrt[2]{90x^3y^4z^5}$

a)

$2xy^2z\sqrt[2]{10xz^5}$

b)

$2xy^2z^2\sqrt[2]{10xz}$

c)

$3xy^2z^{ }\sqrt[2]{10xz^5}$

d)

$3xy^2z^2\sqrt[2]{10xz}$

17.

Identify the slope value: $y=16x^2-8x-24$

a)

16

b)

12

c)

15

d)

10

18.

Add or subtract: $\left(4n^4-8n+4\right)-\left(8n^2+4n^4+1\right)$

a)

-4n^4-4n-5

b)

-8n^2-8n-5

c)

12n^2+12n+5

d)

-12n^4-12n-5

19.

Simplify: $\left(3x^3y^5\right)^4$

a)

12x^81y^20

b)

81x^20y^12

c)

3x^12y^20

d)

81x^12y^20

20.

Distribute
$\left(2a^2b^4z\right)\ \left(6a^3b^2z^5\right)$

a)

24a^5b^6z^6

b)

12a^5b^6z^6

c)

8a^5b^6z^6

d)

10a^5b^6z^6

21.

distribute

$\left(5x+2\right)\ \left(x^2-3x+6\right)$

a)

5x^3 - 15x^2 + 30x + 2x^2 - 6x + 12

b)

5x^3 - 15x^2 + 30x + 2x^2 + 6x - 12

c)

5x^3 - 15x^2 + 30x + 2x^2 - 6x - 12

d)

5x^3 - 15x^2 + 30x - 2x^2 - 6x + 12

22.

Write the following interval in integral notation: $-7<x\le8$

a)

(-7, 8]

b)

[-7, 8)

c)

[-7, 8]

d)

(-7, 8)

23.

Is $x<3$ open or closed?

a)

open

b)

closed

24.

What is the quotient of this equation $x^2+7x=12\ \div\ x+3$ using synthetic division?

a)

x+2

b)

x-3

c)

x+5

d)

x+4

25.

Using synthetic division, what is the quotient of this equation? $2x^3-5x^2-8x+15\ \div\ x-3$

a)

x^2-4x+7

b)

2x^2+x-3

c)

3x^2-2x+5

d)

4x^2-3x+2

26.

By using long division, what the quotient to this equation? $x^2+9x+20\div x+5$

a)

x+6

b)

x+4

c)

x+3

d)

x+2

27.

Using long division, what is the quotient of this equation? $x^2+11x+10\div x+1$

a)

x+10

b)

x+3

c)

x+4

d)

x+7

28.

Simplify the radical $4\sqrt[3]{-750}$

a)

$-6\sqrt[3]{20}$

b)

$6\sqrt[3]{-20}$

c)

$20\sqrt[3]{-6}$

d)

$20\sqrt[3]{6}$

Alegrbra II Semester Review

Total questions: 28

Worksheet time: 4hrs 21mins

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