CLEP College Math

CLEP College Math covers essential mathematical concepts and skills necessary for college-level coursework.

Numbers and OperationsAlgebraic Expressions and EquationsGeometry and Measurement
Functions and GraphsProbability and StatisticsLogic and Set Theory
Budgeting and Financial MathMeasurements in Cooking and ConstructionPlanning Travel and Scheduling
Time Management for the CLEP ExamUsing Estimation and Mental Math
Numbers and Operatio...Algebraic Expression...Geometry and Measure...Functions and GraphsProbability and Stat...Logic and Set TheoryBudgeting and Financ...Measurements in Cook...Planning Travel and ...Time Management for ...Using Estimation and...
Basic Concepts

Algebraic Expressions and Equations

What Are Algebraic Expressions?

Algebraic expressions use variables (like \(x\) or \(y\)) combined with numbers and operations. For example, \(2x + 5\) is an expression.

Solving Equations

An equation states that two expressions are equal. To solve equations, you find the value of the variable that makes the equation true.

Steps to Solve One-Step Equations

  1. Isolate the variable by using inverse operations.
  2. Keep both sides of the equation balanced!

Example

If \(x + 3 = 7\), subtract 3 from both sides to get \(x = 4\).

Applications in Life

Algebra helps you solve for unknowns in real-world situations, like figuring out how many hours you need to work to earn a certain amount of money.

Examples

  • Solving for \(x\) if \(2x = 10\): \(x = 5\).

  • Finding the cost per ticket if total cost is $60 for 4 tickets: \(x = 60/4 = 15\).

In a Nutshell

Algebraic expressions and equations help you solve problems with unknown values.

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Geometry and Measurement