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Algebra 2 | Unit 3 | Lesson 9: Solving Radical Equations | Practice Problems

Authored by Illustrative Mathematics

Mathematics

6th Grade

CCSS covered

Algebra 2 | Unit 3 | Lesson 9: Solving Radical Equations | Practice Problems
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10 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Find the solution(s) to each of these equations, or explain why there is no solution. \(\sqrt{x+5}+7 = 10\)

\(x=4\)

No solution

Tags

CCSS.HSA.REI.A.2

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Find the solution(s) to each of these equations, or explain why there is no solution. \(\sqrt{x-2}+3=\text-2\)

\(x=4\)

No solution

Tags

CCSS.HSA.REI.A.2

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

For each equation, decide how many solutions it has and explain how you know. \((x-4)^2= 25\)

2 solutions

1 solution

No solution

Tags

CCSS.8.EE.A.2

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

For each equation, decide how many solutions it has and explain how you know. \(\sqrt{x-4} = 5\)

2 solutions

1 solution

No solution

Tags

CCSS.HSA.REI.A.2

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

For each equation, decide how many solutions it has and explain how you know. \(x^3 -7 = \text-20\)

2 solutions

1 solution

No solution

Tags

CCSS.8.EE.A.2

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

For each equation, decide how many solutions it has and explain how you know. \(6 \boldcdot \sqrt[3]{x} = 0\)

2 solutions

1 solution

No solution

Tags

CCSS.HSA.REI.A.2

7.

OPEN ENDED QUESTION

3 mins • 1 pt

Jada was solving the equation \(\sqrt{6-x}=\text-16\). She was about to square each side, but then she realized she could give an answer without doing any algebra. What did she realize?

Evaluate responses using AI:

OFF

Tags

CCSS.HSA.REI.A.2

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