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Solving One-Step Multiplication Equations

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Solving One-Step Multiplication Equations

Study Guide

Key Definition

Solving one-step multiplication equations involves using the inverse operation of multiplication, which is division, to isolate the variable $x$.

Important Notes

Use division to solve multiplication equations
The goal is to isolate x
Check your work by substituting back into the original equation
Inverse operations reverse each other's effects
Each problem is solved with a single step
Any letter can represent the unknown variable

Mathematical Notation

$\times$ or $*$ represents multiplication

$\div$ or $/$ represents division

Remember to use proper notation when solving problems

Why It Works

By using the inverse operation, division, you can isolate the variable and find its value efficiently. If $5x = 125$, dividing both sides by 5 gives $x = 25$.

Remember

Always perform the same operation on both sides of the equation to maintain balance.

Quick Reference

Inverse Operation:$\frac{1}{a} \times a = 1$

Understanding Solving One-Step Multiplication Equations

Choose your learning level

Watch & Learn

Video explanation of this concept

Beginner

Start here! Easy to understand

Beginner Explanation

When you have an equation like $5x = 125$, divide both sides by 5 to solve for x.

Practice Problems

Test your understanding with practice problems

Quick Quiz

Single Choice Quiz

Beginner

Solve for x: $3x = 12$

Real-World Problem

Question Exercise

Intermediate

Teenager Scenario

You have $5x$ dollars from a summer job (so $5x = 100$) and you earned $100$ dollars. What is x?

Thinking Challenge

Thinking Exercise

Intermediate

Think About This

Solve the equation $7y = 35$.

Challenge Quiz

Single Choice Quiz

Advanced

If $\frac{2}{3}z = 10$, what is z?

Recap

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Review key concepts and takeaways