# Algebra Basics: Solving Basic Equations Part 2 - Math Antics

mathantics2015-05-22

Algebra (Field Of Study)#Mathematics (Field Of Study)#Math Antics#Unknown#Variable#Equation#Education#Solve#Balance

3M views|9 years ago

💫 Short Summary

In this Math Antics video, the host, Rob, explains how to solve equations with one multiplication or division operation. He demonstrates the process using examples such as 3x = 15, 12x = 96, x ÷ 2 = 3, and 4 ÷ x = 2, showing the viewers how to rearrange the equations to isolate the unknown variable and solve for its value.

✨ Highlights

📊 Transcript

✦

Introduces the key strategy for solving an equation with an unknown value.

00:00Rearrange the equation so that the unknown is isolated on one side.

Maintain the balance of the equation by performing the same operation on both sides.

✦

Solving the equation 3x = 15 by getting x by itself.

02:55In algebra, the expression 3x means 3 times x.

Divide both sides by 3 to isolate x.

Simplify the equation by canceling the 3 on the left and evaluating 15 ÷ 3 on the right.

The solution is x = 5.

✦

Solving the equation x/2 = 3 by multiplying both sides by 2.

05:09Rewriting the division as a fraction for easier manipulation.

Using parentheses to show implied multiplication.

Canceling the 2 on the left side to isolate x.

Solving the equation to find x = 6.

✦

Handling equations where a number is divided by an unknown.

07:25Multiplying both sides by the unknown to solve for the variable.

💫 FAQs about This YouTube Video

### 1. What are the key strategies for solving algebraic equations with one multiplication or division operation?

The key strategies for solving algebraic equations with one multiplication or division operation are to rearrange the equation so that the unknown is isolated on one side, and to maintain the balance of the equation by performing the same operation on both sides.

### 2. How do you solve the equation 3x = 15?

To solve the equation 3x = 15, you need to get x by itself. This is done by dividing both sides of the equation by 3. The solution is x = 5.

### 3. What is the solution to the equation x/2 = 3?

The solution to the equation x/2 = 3 is x = 6. This is found by multiplying both sides of the equation by 2 to get rid of the division.

### 4. What is the approach for handling equations where a number is divided by an unknown?

When dealing with equations where a number is divided by an unknown, the approach is to multiply both sides of the equation by the unknown in order to solve for the variable.

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