MAP 8th Grade Math

A comprehensive course covering essential 8th grade math concepts to prepare students for high school and real-world problem solving.

Rational and Irrational NumbersSolving Linear EquationsFunctions and Graphs
Systems of Linear EquationsThe Pythagorean TheoremExponents and Scientific Notation
Applying Math to Everyday BudgetsUsing Geometry in Real LifeInterpreting Data and Statistics
Showing Your Work EffectivelyTime Management on Tests
Rational and Irratio...Solving Linear Equat...Functions and GraphsSystems of Linear Eq...The Pythagorean Theo...Exponents and Scient...Applying Math to Eve...Using Geometry in Re...Interpreting Data an...Showing Your Work Ef...Time Management on T...
Basic Concepts

Solving Linear Equations

What is a Linear Equation?

A linear equation is a math sentence that uses variables and equals a value. The variable is raised only to the first power.

Solving Step-by-Step

  • Isolate the variable: Get the variable by itself on one side.
  • Use inverse operations: Undo addition, subtraction, multiplication, or division.
  • Check your answer: Substitute and see if it works.

Example

Solve \( 3x + 4 = 16 \):

  1. Subtract 4 from both sides: \( 3x = 12 \)
  2. Divide both sides by 3: \( x = 4 \)

Why Linear Equations Matter

These equations help solve everyday puzzles, from budgeting to figuring out distances or times.

Examples

  • \( 2y - 6 = 10 \) has the solution \( y = 8 \).

  • If \( x + 7 = 15 \), then \( x = 8 \).

In a Nutshell

Linear equations help you find unknown values using logical steps.

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Functions and Graphs