Quiz about Radical Equations

Question 1

What is the correct next step for solving the equation $$2\sqrt[3]{x-15}=\sqrt[3]{5x+6}$$

Accepted Answer

$$8\left(x-15\right)=5x+6$$

Answer

$$4\left(x-15\right)=5x+6$$

Answer

$$2\left(x-15\right)=5x+6$$

Question 2

What is the correct next step for solving the equation $$\sqrt[]{5x+1}-4=2$$

Accepted Answer

$$\sqrt[]{5x+1}=6$$

Answer

$$\sqrt[]{5x+1}=-2$$

Answer

$$5x+1=6$$

Question 3

What is the reciprocal of $$\frac{5}{3}$$ ?

Accepted Answer

$$\frac{3}{5}$$

Answer

$$-\frac{5}{3}$$

Answer

$$-\frac{3}{5}$$

Answer

$$\frac{1}{3}$$

Question 4

What is the reciprocal of $$\frac{1}{4}$$ ?

Accepted Answer

$$4$$

Answer

$$-\frac{1}{4}$$

Answer

$$-4$$

Question 5

Rewrite the following as a radical $$\sqrt[4]{5x}$$

Accepted Answer

$$\left(5x\right)^{\frac{1}{4}}$$

Answer

$$5x^4$$

Answer

$$\left(5x\right)^4$$

Answer

$$5x^{\frac{1}{4}}$$

Question 6

Rewrite the following as a rational exponent $$\sqrt[3]{\left(y\right)^2}$$

Accepted Answer

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

Answer

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

Answer

$$\sqrt[]{y^3}$$

Answer

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

Question 7

Write in exponential form
$$\sqrt[]{x^5}$$

Accepted Answer

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

Answer

$$x^{\frac{1}{5}}$$

Answer

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

Answer

$$x^5$$

Question 8

Write in exponential form
$$\sqrt[3]{x^7}$$

Accepted Answer

$$x^{\frac{7}{3}}$$

Answer

$$x^{\frac{3}{7}}$$

Answer

$$3x^7$$

Answer

$$7x^3$$

Question 9

Write the expression in exponential form:
$$\sqrt[]{23}$$

Accepted Answer

$$23^{\frac{1}{2}}$$

Answer

$$23^{-\frac{1}{2}}$$

Answer

$$23^2$$

Answer

$$23^{-2}$$

Question 10

Write the expression in radical form.

$$y^{\frac{1}{2}}$$

Accepted Answer

$$\sqrt[]{y}$$

Answer

$$\sqrt[3]{y}$$

Answer

$$\sqrt[]{y^2}$$

Answer

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

Question 11

Given $$\sqrt{4x+9}=5$$
What is the first step to solve for x?

Accepted Answer

Square each side to eliminate the radical

Answer

Subtract 9 from each side

Answer

Subtract 5 from each side

Answer

Divide each side by 4

Radical Equations

Create a free account and access millions of resources

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics