ASVAB Math

ASVAB Math covers essential mathematical concepts and problem-solving skills necessary for success on the ASVAB test.

Arithmetic OperationsFractions, Decimals, and PercentsWord Problems and Estimation
Algebraic Expressions and EquationsGeometry: Shapes, Area, and PerimeterData Interpretation and Statistics
Money Management and BudgetingMeasurements and Units in Daily LifeMath in Technical Careers
Time Management on the TestElimination and Guessing Strategies
Arithmetic Operation...Fractions, Decimals,...Word Problems and Es...Algebraic Expression...Geometry: Shapes, Ar...Data Interpretation ...Money Management and...Measurements and Uni...Math in Technical Ca...Time Management on t...Elimination and Gues...
Advanced Topics

Algebraic Expressions and Equations

Solving for the Unknown

Algebra introduces variables—letters that stand for numbers. You'll learn to write, simplify, and solve equations.

Expressions vs. Equations

  • Expression: \( 3x + 5 \) (no equals sign)
  • Equation: \( 3x + 5 = 20 \) (has an equals sign)

Solving Equations

To find the value of a variable, get it by itself using inverse operations.

\[ 3x + 5 = 20 \ 3x = 15 \ x = 5 \]

Real-World Example

Algebra is used to calculate unknown costs, plan budgets, or figure out distances.

Key Formula

\[3x + 5 = 20\]

Examples

  • Solving \( 2x - 4 = 10 \) to find the value of x.

  • Figuring out how many hours you need to work to earn $200 at $15/hour.

In a Nutshell

Algebra lets you solve for unknowns in equations, giving you powerful problem-solving skills.

Key Terms

Variable
A symbol that represents an unknown number.
Equation
A mathematical statement with an equals sign.
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Geometry: Shapes, Area, and Perimeter