ASVAB Study GuideASVAB Math Review
Two of the four AFQT subtests are math. These 48 short lessons cover everything from integers and fractions to algebra, geometry and word problems — each with the key formula, a worked example and practice problems with step-by-step solutions.
Basic Math
Integers, positive and negative numbers, long division, decimals, prime numbers and factorials.
- 1 Adding and Subtracting Integers (Positive and Negative Numbers)3 practice problems
- 2 Multiplying and Dividing with Positives, Negatives, One, and Zero3 practice problems
- 3 Long Division12 practice problems
- 4 Operations with Decimals (Add, Subtract, Multiply, Divide)12 practice problems
- 5 Prime Numbers and Divisibility9 practice problems
- 6 Factorials3 practice problems
Conversions
Convert between Fahrenheit and Celsius with the formulas that show up on the ASVAB.
Fractions & Decimals
Simplify and operate on fractions, reciprocals, conversions between fractions, decimals and percents, and fraction word problems.
- 1 Simplify, Add, Subtract, Multiply, Divide, Mixed Numbers, and Converting to Decimals15 practice problems
- 2 Reciprocals of Fractions, Whole Numbers, and Mixed Numbers9 practice problems
- 3 Converting Fractions, Decimals, and Percentages15 practice problems
- 4 Algebraic Fractions (Rational Expressions)12 practice problems
- 5 Fraction Word Problems12 practice problems
Pre-Algebra
Combining like terms, adding and multiplying polynomials, and the order of operations (PEMDAS).
Algebra
Equations, inequalities, slope, lines, systems of equations, factoring and the laws of exponents.
- 1 Solving Equations12 practice problems
- 2 Solving Literal Equations12 practice problems
- 3 Evaluating Algebraic Expressions12 practice problems
- 4 Solving One-Step Inequalities12 practice problems
- 5 Solving Multiple-Step Inequalities12 practice problems
- 6 Calculating Slope12 practice problems
- 7 Writing Equations of Lines12 practice problems
- 8 Solving Systems of Equations: The Substitution and Elimination Methods6 practice problems
- 9 Factoring Trinomials (Leading Coefficient is One)6 practice problems
- 10 Factoring Trinomials (Leading Coefficient is NOT one)6 practice problems
- 11 Factoring by Grouping6 practice problems
- 12 Factoring the Difference of Squares6 practice problems
- 13 Law of Exponents3 practice problems
Geometry
Area, perimeter, triangles, the Pythagorean theorem, circles, volume, angles and shaded regions.
- 1 Area and Perimeter of Quadrilaterals15 practice problems
- 2 Triangles12 practice problems
- 3 The Pythagorean Theorem9 practice problems
- 4 Circles15 practice problems
- 5 Surface Area and Volume15 practice problems
- 6 Complementary and Supplementary Angles15 practice problems
- 7 Finding the Area of Shaded Regions9 practice problems
- 8 24 Essential Geometry Practice Problems9 practice problems
Statistics and Probability
Mean, median, mode and range, finding a missing value, and basic probability.
Word Problems
Distance-rate-time, ratios and proportions, money, work rates, counting, percentages and interest.
- 1 Distance, Rate, and Time (D = RT)6 practice problems
- 2 Ratios, Rates, and Proportions12 practice problems
- 3 Financial Math12 practice problems
- 4 Combined Rates and Work3 practice problems
- 5 The Fundamental Counting Principle3 practice problems
- 6 Percentages3 practice problems
- 7 Simple Interest3 practice problems
- 8 Compound Interest3 practice problems