Pre-Algebra

Pre-Algebra introduces foundational concepts in mathematics, including integers, fractions, and basic equations, essential for higher-level math courses.

Understanding IntegersFractions and DecimalsOrder of Operations
Solving Basic EquationsFactors and MultiplesRatios and Proportions
Using Math in ShoppingCooking and MeasuringPlanning and Time Management
Check Your WorkBreak Down Big ProblemsUse Visuals and Drawings
Understanding Intege...Fractions and Decima...Order of OperationsSolving Basic Equati...Factors and Multiple...Ratios and Proportio...Using Math in Shoppi...Cooking and Measurin...Planning and Time Ma...Check Your WorkBreak Down Big Probl...Use Visuals and Draw...
Advanced Topics

Solving Basic Equations

What Is an Equation?

An equation says that two things are equal, using an equals sign (=). Solving equations means finding the value that makes the equation true.

Steps to Solve

  1. Look for the variable (like \( x \) or \( y \)).
  2. Use opposite operations to get the variable alone.
  3. Check your answer by plugging it back in.

Example Problem

\( x + 7 = 12 \)

  • Subtract 7 from both sides: \( x = 12 - 7 \)
  • So, \( x = 5 \)

Why Learn This?

Equations help us solve puzzles in math, science, and life!

Tips

  • Whatever you do to one side, do to the other.
  • Keep your work neat and check your answer.

Key Formula

\[x + a = b\]

Examples

  • If \( y - 3 = 10 \), then \( y = 13 \).

  • If \( 2x = 16 \), then \( x = 8 \).

In a Nutshell

Solving equations means finding the value that makes an equation true.

Key Terms

Equation
A statement that shows two things are equal.
Variable
A letter that stands for a number.
Next
Factors and Multiples