Solving Radical Equations Quiz

Mathematics

10th - 12th Grade

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12 questions

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MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Non-Calculator: Find the solution set for the equation.
$x-5=\sqrt{x-3}$

$\left\{5\right\}$

$\left\{7\right\}$

$\left\{4,\ 7\right\}$

$\left\{\frac{1\pm\sqrt{-111}}{2}\right\}$

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Calculator: Describe the solutions for the equation.
$\sqrt{8-2x}=x-4$

2 extraneous solutions.

2 valid solutions.

1 valid solution.

No solution.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Non-Calculator: What is the solution set for this equation?
$\sqrt{x^2-12x+36}=x-4$

$\left\{\frac{5}{3}\right\}$

$\left\{5\right\}$

$90\left\{5,8\right\}$

No solution.

FILL IN THE BLANKS QUESTION

5 mins • 1 pt

Calculator: What is the solution set for this equation?
$\sqrt{x^2-7x+10}=\sqrt{x-2}$

(a)

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Challenge (Non-Calculator): What is the solution set for this equation?
$\sqrt{9x}=\sqrt{x}-2$

No solution.

$\left\{\frac{1}{4}\right\}$

$\left\{1\right\}$

$\left\{\frac{1}{4},1\right\}$

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

All four of the expressions below are equivalent to $\sqrt[]{50}$ . Which is the best choice to simplify it?

$\sqrt[]{49+1}$

$\sqrt[]{25\cdot2}$

$\sqrt[]{10\cdot5}$

$\sqrt[]{\frac{100}{2}}$

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Simplify $\sqrt[]{72}$

$2\sqrt[]{6}$

$6\sqrt[]{2}$

$3\sqrt[]{8}$

$8\sqrt[]{3}$

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Simplify $\sqrt[]{18m^9}$

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

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

$2m^4\sqrt[]{3m}$

$3m^4\sqrt[]{2m}$

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Solving Radical Equations

Non-Calculator: Find the solution set for the equation.
$x-5=\sqrt{x-3}$

Calculator: Describe the solutions for the equation.
$\sqrt{8-2x}=x-4$

Non-Calculator: What is the solution set for this equation?
$\sqrt{x^2-12x+36}=x-4$

Calculator: What is the solution set for this equation?
$\sqrt{x^2-7x+10}=\sqrt{x-2}$

(a)

Challenge (Non-Calculator): What is the solution set for this equation?
$\sqrt{9x}=\sqrt{x}-2$

All four of the expressions below are equivalent to $\sqrt[]{50}$ . Which is the best choice to simplify it?

Simplify $\sqrt[]{72}$

Simplify $\sqrt[]{18m^9}$

Only type the numerical value. Do not include units.

(a)

Only type the numerical value. Do not include the units.

(a)

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Popular Resources on Wayground

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Solving Radical Equations

Non-Calculator: Find the solution set for the equation. x−5=x−3x-5=\sqrt{x-3}x−5=x−3​

Calculator: Describe the solutions for the equation. 8−2x=x−4\sqrt{8-2x}=x-48−2x​=x−4

Non-Calculator: What is the solution set for this equation? x2−12x+36=x−4\sqrt{x^2-12x+36}=x-4x2−12x+36​=x−4

Calculator: What is the solution set for this equation? x2−7x+10=x−2\sqrt{x^2-7x+10}=\sqrt{x-2}x2−7x+10​=x−2​ (a)

Challenge (Non-Calculator): What is the solution set for this equation? 9x=x−2\sqrt{9x}=\sqrt{x}-29x​=x​−2

All four of the expressions below are equivalent to 50\sqrt[]{50}50​ . Which is the best choice to simplify it?

Simplify 72\sqrt[]{72}72​

Simplify 18m9\sqrt[]{18m^9}18m9​

Only type the numerical value. Do not include units. (a)

Only type the numerical value. Do not include the units. (a)

Access all questions and much more by creating a free account

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics

Non-Calculator: Find the solution set for the equation.
$x-5=\sqrt{x-3}$

Calculator: Describe the solutions for the equation.
$\sqrt{8-2x}=x-4$

Non-Calculator: What is the solution set for this equation?
$\sqrt{x^2-12x+36}=x-4$

Calculator: What is the solution set for this equation?
$\sqrt{x^2-7x+10}=\sqrt{x-2}$

(a)

Challenge (Non-Calculator): What is the solution set for this equation?
$\sqrt{9x}=\sqrt{x}-2$

All four of the expressions below are equivalent to $\sqrt[]{50}$ . Which is the best choice to simplify it?

Simplify $\sqrt[]{72}$

Simplify $\sqrt[]{18m^9}$

Only type the numerical value. Do not include units.

(a)

Only type the numerical value. Do not include the units.

(a)