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  5. Solving Radical Equations: Square Roots, Cube Roots, And More
Solving Radical Equations: Square Roots, Cube Roots, and More

Solving Radical Equations: Square Roots, Cube Roots, and More

Assessment

Interactive Video

•

Mathematics

•

8th - 12th Grade

•

Practice Problem

•

Hard

•
CCSS
HSA.REI.A.2

Standards-aligned

Created by

Mia Campbell

FREE Resource

Standards-aligned

CCSS.HSA.REI.A.2

10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the first step in solving the equation √(x - 3) + 6 = 8?

Square both sides

Add 6 to both sides

Subtract 6 from both sides

Divide both sides by 2

Tags

CCSS.HSA.REI.A.2

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

After isolating the square root in the equation √(x - 3) + 6 = 8, what is the next step?

Subtract 3 from both sides

Add 3 to both sides

Take the cube root of both sides

Square both sides

Tags

CCSS.HSA.REI.A.2

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In the equation 5∛(x + 2) - 4 = 6, what should you do after adding 4 to both sides?

Subtract 2 from both sides

Square both sides

Divide both sides by 5

Multiply both sides by 5

Tags

CCSS.HSA.REI.A.2

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the result of raising both sides of the equation ∛(x + 2) = 2 to the third power?

x + 2 = 4

x + 2 = 8

x + 2 = 16

x + 2 = 2

Tags

CCSS.HSA.REI.A.2

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In the equation 3(2x - 4)^(2/3) + 5 = 17, what is the first step to isolate the term with the exponent?

Add 5 to both sides

Subtract 5 from both sides

Multiply both sides by 3

Divide both sides by 3

Tags

CCSS.HSA.REI.A.2

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the reciprocal of the exponent 2/3 in the equation 3(2x - 4)^(2/3) = 12?

3

3/2

2/3

1/2

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

When solving the equation √(x + 1) = 2x - 13, what should you do after squaring both sides?

Factor the equation

Add 13 to both sides

Subtract x from both sides

Combine like terms

Tags

CCSS.HSA.REI.A.2

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