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Solving One-Step Subtraction Equations

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Solving One-Step Subtraction Equations

Study Guide

Key Definition

To solve $x - a = b$, add $a$ to both sides because addition is the inverse of subtraction and cancels out the $-a$, isolating $x$.

Important Notes

Inverse operations help solve equations.
Adding cancels out subtraction in equations.
$x - a + a = b + a$ simplifies to $x = b + a$.
Always perform the same operation on both sides of the equation.
Solution steps should be clear and logical.

Mathematical Notation

$-$ represents subtraction

$+$ represents addition

$=$ denotes equality

Remember to use proper notation when solving problems

Why It Works

Using inverse operations like $+$ and $-$ maintains equation balance.

Remember

The goal is to isolate $x$ by performing operations that eliminate other terms.

Quick Reference

Inverse Operation:$+$ to cancel $-$

Understanding Solving One-Step Subtraction Equations

Choose your learning level

Watch & Learn

Video explanation of this concept

Beginner

Start here! Easy to understand

Beginner Explanation

In an equation like $x - a = b$, x is reduced by a. To undo that subtraction, add a to both sides: $x - a + a = b + a$. On the left, -a + a cancels, leaving $x = b + a$.

Practice Problems

Test your understanding with practice problems

Quick Quiz

Single Choice Quiz

Beginner

Solve for $x$ in $x - 5 = 10$

Real-World Problem

Question Exercise

Intermediate

Teenager Scenario

If you have $20$ candies and give away $x$ candies, and you have $12$ left, how many did you give away?

Thinking Challenge

Thinking Exercise

Intermediate

Think About This

What is the value of $x$ in $25 - x = 17$?

Challenge Quiz

Single Choice Quiz

Advanced

Solve $40 - x = 15$ for $x$

Recap

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Review key concepts and takeaways