Quiz about Chapter 0 Test Review

Question 1

Factor Completely: 16x²-64

Accepted Answer

16(x-4)(x+4)

Answer

(4x-8)(4x+8)

Answer

4(2x-8)(2x+8)

Answer

(4x-8)2

Question 2

Simplify and leave your answer without negative exponents: (y⁹)^-2

Accepted Answer

1/(y18)

Answer

y18

Answer

y11

Answer

y9/2

Question 3

Simplify
(3x³y⁵)⁴

Accepted Answer

81x¹²y²⁰

Answer

3x¹²y²⁰

Answer

12x¹²y²⁰

Answer

81x7y9

Question 4

Add or Subtract to Simplify:
(4n⁴ - 8n + 4) - (8n² + 4n⁴ + 1)

Accepted Answer

-8n² - 8n + 3

Answer

-7n² - 8n + 3

Answer

-6n²- 8n + 3

Answer

-7n² - 4n + 3

Question 5

In scientific notation, 0.00326 = ?

Accepted Answer

3.26 x 10^-3

Answer

3.26 x 10^-2

Answer

3.26 x 10^-1

Answer

3.26 x 10²

Answer

3.26 x 103

Question 6

Factor

6n³ + 5n² +12n + 10

Accepted Answer

(n² + 2)(6n + 5)

Answer

(n² + 2)(6n - 5)

Answer

(n² + 2)(n²- 5)

Answer

(n²- 2)(n² - 5)

Question 7

$$\sqrt[3]{40x^{3\ }y^5}$$

Accepted Answer

$$2xy\sqrt[3]{5y^2}$$

Answer

$$2\sqrt[3]{10x^3y^5}$$

Answer

$$8x^3y^{3\ }\sqrt[3]{5}$$

Answer

$$4xy\sqrt[3]{10y^2}$$

Question 8

5n² + 20n + 20

Accepted Answer

5(n + 2)2

Answer

Not factorable

Answer

5(3n - 5)²

Answer

5(n + 4)2

Question 9

16v² + 44v + 30

Accepted Answer

2(2v + 3)(4v + 5)

Answer

16(v + 3)(v - 5)

Answer

2(8v + 3)(v + 5)

Answer

2(4v + 3)(2v - 5)

Question 10

1252/3

Accepted Answer

25

Answer

5

Answer

75

Answer

5

Question 11

$$12x^2\left(3x^4\right)^{-2\ }$$

Accepted Answer

$$\frac{4}{3x^6}$$

Answer

$$\frac{1}{108x^{10}}$$

Answer

$$-\frac{108}{x^6}$$

Answer

$$\frac{36}{x^{12}}$$

Question 12

Solve:

(6 x 10⁶) x (2 x 10³)

Accepted Answer

1.2 x 10¹⁰

Answer

8 x 109

Answer

1.2 x 10⁸

Answer

8 x 10¹⁰

Question 13

$$\frac{14\ imes\ 10^9}{\ 20 imes\ 10^2}$$

Accepted Answer

$$7 imes10^6$$

Answer

$$7 imes\ 10^8$$

Answer

$$0.7\ imes\ 10^7$$

Answer

$$1.4 imes10^7$$

Question 14

Simplify $$\frac{2}{3-\sqrt[]{2}}$$

Accepted Answer

$$\frac{\left(6+2\ \sqrt[]{2}\right)}{7}$$

Answer

$$6+3\ \sqrt[]{2}$$

Answer

$$\frac{\left(6+2\ \sqrt[]{2}\right)}{5}$$

Answer

$$6\ +2\ \sqrt[]{2}$$

Question 15

Simplify:

$$\frac{3}{x+4}+\frac{2}{x-2}$$

Accepted Answer

$$\frac{5x+2}{\left(x+4\right)\left(x-2\right)}$$

Answer

$$\frac{3x-6}{\left(x-2\right)\left(x+4\right)}$$

Answer

$$\frac{5x-10}{\left(x-2\right)\left(x+4\right)}$$

Answer

$$\frac{6x+24}{\left(x-2\right)\left(x+4\right)}$$

Question 16

Question 16.

Accepted Answer

Option A is correct

Answer

B.

Answer

C.

Answer

D.

Question 17

$$\frac{b-4}{b^2-14b+40}\div\frac{b^2+6b+8}{b^2-3b-70}$$

Accepted Answer

$$\frac{b+7}{\left(b+4\right)\left(b+2\right)}$$

Answer

$$\frac{b-3}{6}$$

Answer

$$\frac{2b}{9}$$

Answer

$$\frac{5b\left(b-6\right)}{7}$$

Question 18

$$\frac{10m-20}{10m+70} imes\frac{m^2+8m+7}{m+1}$$

Accepted Answer

$$m-2$$

Answer

$$\frac{m+2}{3}$$

Answer

$$\frac{3}{20}$$

Answer

$$\frac{m+4}{m+7}$$

Question 19

How else could you write $$4^{-2}$$ ?

Accepted Answer

$$\frac{1}{16}$$

Answer

$$16$$

Answer

$$-16$$

Answer

$$-\frac{1}{16}$$

Question 20

Simplify the expression: $$^4\sqrt{x^{10}}$$

Accepted Answer

$$x^2\sqrt{x}$$

Answer

$$x^{\frac{5}{2}}$$

Answer

$$\sqrt{x^5}$$

Answer

$$x^{2\ \ 4}\sqrt{x^2}$$

Question 21

Simplify: $$\left(144x^6y^{\frac{2}{3}}\right)^{\frac{1}{2}}$$

Accepted Answer

$$12x^3y^{\frac{1}{3}}$$

Answer

$$72x^{\frac{13}{2}}y^{\frac{7}{6}}$$

Answer

$$12x^{\frac{13}{2}}y^{\frac{7}{6}}$$

Answer

$$72x^3y^{\frac{1}{3}}$$

Question 22

Question 22.

Accepted Answer

a

Answer

b

Answer

c

Answer

d

Question 23

$$\frac{x^2-x-6}{x-3}\cdot\frac{x+9}{x+2}$$

Accepted Answer

$$x+9$$

Answer

$$\frac{x-3}{x-2}$$

Answer

$$\frac{x+9}{x+2}$$

Answer

$$x-3$$

Question 24

Simplify:

$$\frac{8x}{x-4}-\frac{11}{3x+1}$$

Accepted Answer

$$\frac{24x^2-3x+44}{\left(3x+1\right)\left(x-4\right)}$$

Answer

$$\frac{24x^2-3x-44}{\left(3x+1\right)\left(x-4\right)}$$

Answer

$$\frac{24x^2+19x-44}{\left(3x+1\right)\left(x-4\right)}$$

Answer

$$\frac{13x^2+52x}{\left(3x+1\right)\left(x-4\right)}$$

Question 25

Find the values that make the Rational Expression undefined:

$$\frac{x^2+3x-18}{x^2+10x+24}$$

Accepted Answer

$$x=-6,-4$$

Answer

$$x=-6$$

Answer

$$x=-4$$

Answer

$$x=4,6$$

Question 26

Factor: 27x³ + 8

Accepted Answer

(3x + 2)(9x² - 6x + 4)

Answer

(9x + 2)(3x² + 18x + 4)

Answer

(3x²+4)(9x + 2)

Answer

(27x + 8)(x² - 216x + 64)

Question 27

What values make the rational expression undefined?

Accepted Answer

0 and 1.5

Answer

0 and 2

Answer

2 and 3

Answer

1.5 and -1.5

Question 28

Fully simplify to one fraction:

$$\frac{3}{x+7}-\frac{7x}{x^2+9x+14}$$

Accepted Answer

$$\frac{-4x+6}{\left(x+2\right)\left(x+7\right)}$$

Answer

$$\frac{3-7x}{\left(x+2\right)\left(x+7\right)}$$

Answer

$$\frac{-4x+2}{\left(x+2\right)\left(x+7\right)}$$

Answer

$$\frac{10x+6}{x^2+9x+14}$$

Question 29

What is true about the following equation?

$$\frac{x^2\left(x-4\right)}{\left(x-3\right)\left(x-4\right)}\cdot\frac{\left(x-3\right)\left(x+6\right)}{x^3}$$

Accepted Answer

There are 3 domain restrictions

Answer

There are no domain restrictions

Answer

$$x e0$$ is the only domain restriction

Answer

$$x
e-6$$

Question 30

What are the restrictions of: $$\frac{19}{8u\left(u+2\right)}$$

(Pick all that apply!)

Accepted Answer

$$u\ 
e0$$

Accepted Answer

$$u\ 
e-2$$

Answer

$$u\ 
e2$$

Answer

$$u
e8$$

Answer

$$u
e-8$$

Chapter 0 Test Review

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