Math Refresher for Adults: Free Lessons & Worksheets

Where should an adult learner start?

You do not need to work through every topic below. Choose a path based on your goal, then move on when you can explain the steps and solve a few fresh problems without looking at an example.

1. Everyday number skills: begin with fractions and decimals, then ratios and percentages. These skills help with recipes, comparing unit prices, budgeting, and discounts.
2. Returning to a class or preparing for an assessment: review negative numbers and order of operations before equations and inequalities. Use your course outline or the exam provider’s current topic list to decide what else to study.
3. Preparing for more advanced mathematics: continue into functions, quadratics, and other later sections only when they match your next course. Matrices, logarithms, and trigonometry are optional for a basic everyday refresher.

Free printable math worksheets for adults

For a printable refresher, open a topic lesson and look for its worksheet download. The following lessons include a PDF worksheet link; they are separate topic sheets rather than one combined course PDF. Some worksheets carry a school-grade label, so choose by the skill you want to practice.

• Adding and subtracting fractions: lesson and printable worksheet — practice finding a common denominator.
• Percentage calculations: lesson and printable worksheet — review finding a percent of a number.
• One-step equations: lesson and printable worksheet — practice undoing an operation to find an unknown.

A manageable study routine

Try a short session that fits your schedule: read one worked example, cover the solution and redo it, then attempt several worksheet problems. Check your work and write down why an error happened. Revisit that skill in your next session before adding a new one.

Here are three everyday starting checks. If a step feels unfamiliar, use the matching lesson above.

• Combining amounts: 1/2 cup + 1/4 cup = 2/4 cup + 1/4 cup = 3/4 cup. Rewrite the fractions with the same denominator first.
• A discount: 20% of $45 is 0.20 × $45 = $9. The price after the discount is $36, before any tax.
• An unknown amount: x + 7 = 19 gives x = 12. Subtract 7 from both sides, then check: 12 + 7 = 19.

Keep your practice focused: if percentages are the immediate goal, review the decimal and fraction steps you need, then return to percentages. You can use a calculator to check arithmetic after you have written out your reasoning.

Adult Math Refresher: Topic Directory

Fractions and Decimals

• Simplifying Fractions
• Adding and Subtracting Fractions
• Multiplying and Dividing Fractions
• Adding Mixed Numbers
• Subtracting Mixed Numbers
• Multiplying Mixed Numbers
• Dividing Mixed Numbers
• Adding and Subtracting Decimals
• Multiplying and Dividing Decimals
• Comparing Decimals
• Rounding Decimals
• Factoring Numbers
• Greatest Common Factor
• Least Common Multiple

Real Numbers and Integers

• Adding and Subtracting Integers
• Multiplying and Dividing Integers
• Order of Operations
• Ordering Integers and Numbers
• Integers and Absolute Value

Proportions, Ratios, and Percent

• Simplifying Ratios
• Proportional Ratios
• Similarity and Ratios
• Percentage Calculations
• Percent Problems
• Discount, Tax and Tip
• Percent of Increase and Decrease
• Simple Interest

Algebraic Expressions

• Simplifying Variable Expressions
• Simplifying Polynomial Expressions
• Translate Phrases into an Algebraic Statement
• The Distributive Property
• Evaluating One Variable Expressions
• Evaluating Two Variables Expressions
• Combining like Terms

Equations and Inequalities

• One-Step Equations
• Multi-Step Equations
• Graphing Single, Variable Inequalities
• One-Step Inequalities
• Multi-Step Inequalities
• Systems of Equations

Linear Functions

• Finding Slope
• Graphing Lines Using Standard Form
• Graphing Lines Using Slope-Intercept Form
• Writing Linear Equations
• Graphing Linear Inequalities
• Finding Midpoint
• Finding Distance of Two Points

Exponents and Radicals

• Multiplication Property of Exponents
• Division Property of Exponents
• Zero and Negative Exponents
• Powers of Products and Quotients
• Negative Exponents and Negative Bases
• Scientific Notation
• Radicals

Polynomials

• Writing Polynomials in Standard Form
• Simplifying Polynomials
• Adding and Subtracting Polynomials
• Multiplying Monomials
• Multiplying and Dividing Monomials
• Multiplying a Polynomial and a Monomial
• Multiplying Binomials
• Factoring Trinomials
• Operations with Polynomials

Geometry and Solid Figures

• Pythagorean Theorem
• Triangles
• Polygons
• Trapezoids
• Circles
• Cubes
• Rectangular Prism
• Cylinder

Statistics and Probability

• Mean, Median, Mode, and Range
• Histograms
• Pie Graph
• Probability Problems
• Combinations and Permutations

Functions

• Function Notation
• Adding and Subtracting Functions
• Multiplying and Dividing Functions
• Composition of Functions

Quadratic

• Solving a Quadratic Equation
• Graphing Quadratic Functions
• Solving Quadratic Inequalities
• Graphing Quadratic Inequalities

Matrices

• Adding and Subtracting Matrices
• Matrix Multiplication

Logarithms

• Properties of Logarithms
• Evaluating Logarithms
• Natural Logarithms
• Solving Logarithmic Equations

Complex Numbers

• Adding and Subtracting Complex Numbers
• Multiplying and Dividing Complex Numbers
• Rationalizing Imaginary Denominators

Trigonometric Functions

• Trig Ratios of General Angles
• Coterminal Angles and Reference Angles
• Angles and Angle Measure
• Evaluating Trigonometric Function
• Missing Sides and Angles of a Right Triangle
• Arc Length and Sector Area

Want an organized workbook?

The free lessons above are a starting point. If you prefer a workbook, visit the Adult Math Workbook product page and use its Look inside preview to check the level before choosing it. Review the available format and purchase details there.

Adult Math Workbook A Comprehensive Review + 2 Full Length Adult Math Practice Tests

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