ACCUPLACER Elementary Algebra

ACCUPLACER Elementary Algebra focuses on assessing and enhancing foundational algebra skills essential for success in higher-level mathematics.

Operations with Integers and Rational NumbersSimplifying Algebraic ExpressionsSolving Linear Equations
Solving and Graphing Linear InequalitiesSystems of Linear EquationsPolynomials and Factoring
Budgeting and Shopping MathTravel and Distance ProblemsRecipe Scaling and Proportions
Mastering Multiple Choice QuestionsTime Management During the Test
Operations with Inte...Simplifying Algebrai...Solving Linear Equat...Solving and Graphing...Systems of Linear Eq...Polynomials and Fact...Budgeting and Shoppi...Travel and Distance ...Recipe Scaling and P...Mastering Multiple C...Time Management Duri...
Basic Concepts

Solving Linear Equations

What is a Linear Equation?

A linear equation is an equation where the variable has an exponent of 1 (like \( 2x + 3 = 7 \)). Solving means finding the value of the variable that makes the equation true.

Steps to Solve

  1. Isolate the Variable: Use addition, subtraction, multiplication, or division to get the variable alone on one side.
  2. Balance the Equation: Whatever you do to one side, do to the other!
  3. Check Your Solution: Substitute your answer back into the original equation.

Why Learn This?

Solving equations helps with budgeting, planning trips, or determining how much time something will take.

Pro Tip

Always double-check your answer by plugging it back into the equation.

Examples

  • Solve \( x + 5 = 12 \) gives \( x = 7 \).

  • Solve \( 3x = 9 \) gives \( x = 3 \).

In a Nutshell

Find the value of variables that make linear equations true by isolating the variable step by step.

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Solving and Graphing Linear Inequalities