Search Header Logo
  1. Resource Library
  2. Math
  3. Algebra
  4. ...
  5. Solving Equations And Inverse Operations
Solving Equations and Inverse Operations

Solving Equations and Inverse Operations

Assessment

Interactive Video

•

Mathematics

•

7th - 8th Grade

•

Practice Problem

•

Hard

Created by

Ethan Morris

FREE Resource

The video tutorial explains how to solve equations involving squares and square roots by using inverse operations. It begins with a basic understanding of inverse operations, such as squaring and square rooting, and progresses to solving equations involving addition. The tutorial then covers quadratic equations, highlighting the dual solutions of positive and negative roots. Finally, it addresses radical equations, demonstrating how to isolate variables under square roots by squaring both sides of the equation.

Read more

10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What are the inverse operations discussed in the video?

Squaring and square rooting

Multiplication and division

Addition and subtraction

Exponentiation and logarithms

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the result of squaring the square root of a number?

The square of the original number

Double the original number

Half of the original number

The original number

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the first step in solving the equation x + 7 = 10?

Divide both sides by 7

Add 7 to both sides

Subtract 7 from both sides

Multiply both sides by 7

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the purpose of using inverse operations in solving equations?

To make the equation more complex

To eliminate the variable

To isolate the variable

To add more variables

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the result of solving x^2 = 100?

x = 10

x = 5

x = 50

x = 20

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Why do quadratic equations have two solutions?

Because they involve both positive and negative square roots

Because they involve addition and subtraction

Because they involve complex numbers

Because they involve multiplication and division

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In the equation x^2 = 100, what are the possible values of x?

x = 50 and x = -50

x = 10 and x = -10

x = 5 and x = -5

x = 20 and x = -20

Access all questions and much more by creating a free account

Create resources

Host any resource

Get auto-graded reports

Google

Continue with Google

Email

Continue with Email

Microsoft

Continue with Microsoft

or continue with

Facebook

Facebook

Apple

Apple

Others

Others

By signing up, you agree to our Terms of Service & Privacy Policy

Already have an account?