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Solving Equations Involving Radicals

Solving Equations Involving Radicals

Assessment

Interactive Video

Mathematics

7th - 10th Grade

Practice Problem

Hard

CCSS
HSA.REI.A.2, 7.EE.B.4A, 6.EE.B.7

Standards-aligned

Created by

Olivia Brooks

FREE Resource

Standards-aligned

CCSS.HSA.REI.A.2
,
CCSS.7.EE.B.4A
,
CCSS.6.EE.B.7
The video tutorial explains how to solve equations involving radicals. It starts with an equation where the radical is already isolated, demonstrating the process of squaring both sides to eliminate the square root and solve for the variable. The tutorial then addresses a more complex equation where the radical is not isolated, showing how to first isolate the radical before squaring both sides to solve for the variable. The key steps include isolating the radical, squaring both sides, and solving for the variable.

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9 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the first step in solving an equation with a radical that is already isolated?

Multiply both sides by 2

Subtract a constant from both sides

Add a constant to both sides

Square both sides of the equation

Tags

CCSS.HSA.REI.A.2

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

After squaring both sides of the equation, what is the next step to isolate the variable X?

Multiply both sides by 3

Add 1 to both sides

Divide both sides by 3

Subtract 1 from both sides

Tags

CCSS.HSA.REI.A.2

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What happens to the square root when you square both sides of an equation?

It becomes negative

It cancels out

It remains unchanged

It doubles

Tags

CCSS.7.EE.B.4A

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In the first example, what is the value of X after solving the equation?

X = 4

X = 5

X = 3

X = 2

Tags

CCSS.HSA.REI.A.2

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In the second example, what is the first step to isolate the radical?

Multiply both sides by 10

Subtract 10 from both sides

Add 10 to both sides

Divide both sides by 10

Tags

CCSS.HSA.REI.A.2

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the result of squaring both sides of the equation in the second example?

10X + 1 = 9

10X - 1 = 9

10X - 1 = 3

10X + 1 = 3

Tags

CCSS.6.EE.B.7

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the final value of X in the second example?

X = 3

X = 2

X = 1

X = 0

Tags

CCSS.HSA.REI.A.2

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