Quiz about Simplify Radicals and Rational Exponents

Question 1

What is the first step to solving Radical Equations?

Accepted Answer

Isolate the radical on one side of equations.

Answer

Check for extraneous solutions.

Answer

Raise each side of the equation to the power of the index.

Answer

Solve the remaining equation.

Answer

Convert from radical form to rational exponent form

Question 2

Simplify, write answer in radical form

Accepted Answer

$$13\ \sqrt[4]{2}$$

Answer

$$15\ \sqrt[4]{2}$$

Answer

$$8\ \sqrt[4]{2}$$

Answer

$$11\ \sqrt[4]{2}$$

Question 3

FOIL -- and then write answer in simpliest radical form.

Accepted Answer

$$5+2\sqrt[]{6}$$

Answer

$$3+2\sqrt[]{5}$$

Answer

$$5+2\sqrt[]{5}$$

Answer

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

Question 4

Write using a rational exponent: $$\sqrt[]{x^{11}}$$

Accepted Answer

$$x^{\frac{11}{2}}$$

Answer

$$x^{11}$$

Answer

$$x^9$$

Answer

$$x^{10}$$

Question 5

Write using a radical: $$x^{\frac{3}{7}}$$

Accepted Answer

$$\sqrt[7]{x^3}$$

Answer

$$\sqrt[3]{x^7}$$

Answer

$$\sqrt[]{x^{\frac{7}{3}}}$$

Answer

$$x^4$$

Question 6

Solve for x:

Accepted Answer

65

Answer

2

Answer

63

Answer

no solution

Question 7

Question 7.

Accepted Answer

C

Answer

A

Answer

B

Answer

D

Question 8

Question 8.

Accepted Answer

A

Answer

B

Answer

C

Answer

D

Question 9

Simplify the following:

Accepted Answer

D

Answer

A

Answer

B

Answer

C

Question 10

Solve the Rational Exponent Equation:

Accepted Answer

A

Answer

B

Answer

C

Answer

D

Question 11

Solve. (3x - 5)^1/4+ 3 = 4

Accepted Answer

2

Answer

4/3

Answer

-2

Answer

-4/3

Question 12

Solve for x:

Accepted Answer

0

Answer

3

Answer

2

Answer

1

Question 13

Solve.

Accepted Answer

x = 7

Answer

x = -7

Answer

x = -11

Answer

no solution

Question 14

Question 14.

Accepted Answer

x = 6

Answer

x = 6, x = -1

Answer

x = -6, x = 1

Answer

x = 1

Question 15

Evaluate 81^3/4

Accepted Answer

27

Answer

1/3

Answer

3

Answer

243

Question 16

Question 16.

Accepted Answer

3

Accepted Answer

2

Answer

-3

Answer

-2

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