Square Roots and Equations

Square Roots and Equations

Assessment

Interactive Video

Mathematics

9th - 10th Grade

Hard

Created by

Thomas White

FREE Resource

The video tutorial explains how to solve equations for x by demonstrating two examples. The first example involves solving x^2 = 4 by dividing both sides by 9 and taking the square root, resulting in x = ±2. The second example involves solving 8x^2 = 24 by dividing both sides by 8 and taking the square root, resulting in x = ±√3. The importance of considering both positive and negative solutions is emphasized.

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15 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the main difference between an expression and an equation?

Neither expressions nor equations contain equal signs.

Both expressions and equations contain equal signs.

An equation contains an equal sign, while an expression does not.

An expression contains an equal sign, while an equation does not.

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In the context of solving equations, what does it mean to 'satisfy' an equation?

To multiply both sides by the same number.

To simplify the equation.

To add the same number to both sides.

To make both sides of the equation equal.

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the first step in solving the equation x^2 = 36?

Add 9 to both sides.

Subtract 9 from both sides.

Multiply both sides by 9.

Divide both sides by 9.

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

After dividing both sides of the equation x^2 = 36 by 9, what is the resulting equation?

x^2 = 3

x^2 = 36

x^2 = 9

x^2 = 4

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

When solving x^2 = 4, why must we consider both positive and negative roots?

Because negative numbers do not have square roots.

Because only positive numbers have square roots.

Because both positive and negative numbers squared give the same result.

Because the equation only has one solution.

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What are the solutions to the equation x^2 = 4?

x = 2

x = -2

x = 2 and x = -2

x = 0

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the result of taking the square root of x^2?

x

x^2

x/2

2x

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