Algebra 1 Worksheets: 64 Free PDFs with Answers

Download 64 free Algebra 1 worksheets with answers, organized by skill. Each three-page PDF includes a quick review and worked example, 12 practice problems, an answer section with explanations, and an optional book promotion. Open the topic link to print or save the worksheet; no signup is required for these downloads.

Studying for finals? Try our Algebra 1 semester 1 final exam review with 26 worked problems and answers.

Use this collection for focused homework practice, tutoring or independent review. Start with the skill in your current lesson. Course sequences vary, so check your teacher’s syllabus before using advanced topics such as inverse functions or linear-quadratic systems.

Algebra Foundations

• Variables, Expressions, and Properties, use letters for unknown values and the laws that govern them
• Order of Operations and Evaluating Expressions, PEMDAS in action, what to do first, second, and last
• Simplifying Algebraic Expressions, combine like terms and distribute to tidy any expression
• Introduction to Equations and Solutions, what it means for a value to ‘solve’ an equation
• Personal Financial Literacy, real-money algebra: interest, discount, markup, tax

Solving Linear Equations

• Solving One-Step Equations, undo one operation to isolate the variable
• Solving Two-Step Equations, two careful moves, in the right order
• Solving Multi-Step Equations, distribute, combine, then isolate, a full solve
• Equations with Variables on Both Sides, collect like terms on one side first
• Literal Equations and Formulas, solve a formula for a different letter

Inequalities and Absolute Value

• Solving One-Step Inequalities, one move, with one new rule for negatives
• Solving Multi-Step Inequalities, solve like an equation; flip the sign when dividing by a negative
• Compound Inequalities, AND vs. OR, and how to graph each
• Absolute Value Equations and Inequalities, split into two cases and read ‘and’ vs ‘or’ correctly

Functions and Sequences

• Relations and Functions, every input gets exactly one output, and how to check
• Function Notation and Evaluating Functions, read f(x) and plug in to evaluate
• Domain and Range, the inputs you may use and the outputs you get back
• Graphing Functions and Transformations, shift, stretch, and flip a parent graph
• Arithmetic Sequences as Linear Functions, add the same step each time, a line in disguise
• Geometric Sequences, multiply by the same ratio each time
• Graphing Square Root, Cube Root, and Piecewise Functions, graph nonlinear parent functions and split rules
• Comparing Functions, compare functions given as equations, tables, and graphs
• Combining Functions, add, subtract, multiply, and divide functions
• Inverse Functions, swap input and output, then solve for y

Linear Functions and Graphs

• Slope and Rate of Change, rise over run, a real-world rate of change
• Slope-Intercept Form, y = mx + b, read slope and intercept right off it
• Point-Slope Form, build a line from one point and a slope
• Standard Form of a Linear Equation, Ax + By = C, and when it’s most useful
• Writing Linear Equations from Graphs and Tables, turn a graph or a table into an equation
• Parallel and Perpendicular Lines, equal slopes for parallel, negative reciprocals for perpendicular
• Direct and Inverse Variation, y = kx versus y = k/x
• Understanding Graphs as Solution Sets, every point on the line satisfies the equation

Systems of Equations and Inequalities

• Solving Systems by Graphing, two lines, one shared point
• Solving Systems by Substitution, solve one equation for a variable, then substitute
• Solving Systems by Elimination, add or subtract the equations to cancel a variable
• Applications of Systems of Equations, two unknowns, two equations, one word problem
• Systems of Linear Inequalities, shade two regions and find where they overlap
• Solving Linear-Quadratic Systems, find where a line crosses a parabola

Exponents and Polynomials

• Properties of Exponents, product, quotient, power, zero, and negative-exponent rules
• Adding and Subtracting Polynomials, combine like terms in higher-degree expressions
• Multiplying Polynomials, FOIL and the box method, when each one helps
• Special Products of Polynomials, perfect squares and difference-of-squares patterns
• Rational and Irrational Numbers, tell a number that can be written as a fraction from one whose decimal never ends and never repeats

Factoring Polynomials

• Greatest Common Factor and GCF Factoring, pull out the biggest common piece first
• Factoring Trinomials: x² + bx + c, two numbers that multiply to c and add to b
• Factoring Trinomials: ax² + bx + c, the AC method and trial-and-error, side by side
• Factoring Special Products, spot difference of squares and perfect-square trinomials

Quadratic Functions

• Graphing Quadratic Functions, the parabola, its vertex, and the axis of symmetry
• Characteristics of Quadratic Functions, zeros, vertex, max/min, and end behavior
• Solving Quadratics by Factoring, set the product to zero, then each factor
• Solving Quadratics by Completing the Square, rewrite as (x − h)² = k and take square roots
• The Quadratic Formula and the Discriminant, the formula every Algebra 1 student remembers, plus what the discriminant tells you
• Solving Quadratics by Square Roots, isolate the square, then take both roots
• Quadratic Applications and Modeling, real-world parabolas: projectiles, area, profit

Statistics and Probability

• Measures of Center and Spread, mean, median, range, and the feel of standard deviation
• Displaying Data: Histograms and Box Plots, two ways to picture a distribution
• Scatter Plots and Correlation, read clustering, outliers, and the direction of a trend
• Lines of Best Fit and Predictions, draw a trend line and predict the next value
• Probability and Counting Principles, count outcomes by multiplying and combine events
• Two-Way Frequency Tables, organize categorical data and read relative frequencies

Exponential Functions and Models

• Graphing Exponential Functions, the shape of y = ab^x, growth or decay
• Exponential Growth and Decay, real-world doubling, half-life, and interest
• Comparing Linear, Quadratic, and Exponential Models, which model fits the pattern, and how to tell
• Interpreting Functions and Parameters, what every letter in the model actually means

How to practice with the answer keys

1. Read the short review and cover the worked solution. Try the example yourself, then compare your steps.
2. Complete the practice page before opening the answer section. Keep enough working to locate a sign, distribution or arithmetic mistake.
3. Check the explanation for each missed problem. Write the rule you needed, then solve the problem again without looking.
4. Choose a related worksheet after the first skill feels secure: two-step equations before multi-step equations, slope before slope-intercept form, or factoring before solving quadratics by factoring.

For compound inequalities, solve each condition and decide whether both must hold (and) or either can hold (or). For example, x > 3 and x < 2 has no solution because no number satisfies both. If this is where you get stuck, review the worked compound-inequality lesson before returning to the worksheet.

Which Algebra 1 topics are included?

The sections cover expressions, equations, inequalities, functions, lines, systems, exponents, polynomials, factoring, quadratics, data and exponential models. The Common Core high-school algebra standards describe expressions, equations, inequalities and systems, but that domain spans high-school study rather than certifying this worksheet collection as one complete Algebra 1 course. Schools and exam programs choose their own sequence and scope. Use these pages as supplementary practice.

Find more review or preview a book

Need a lesson before practicing? Visit the free Algebra 1 learning hub. For a different selection of printable topics, use the original Algebra 1 worksheet collection; it is separate from the 64 three-page downloads above.

If you prefer a paid study book, preview Algebra I for Beginners and compare its sample pages with the support you need. Check the product page for the current format, price and purchase options. The free worksheets above remain available without buying a book.

How to Teach Yourself Algebra 1 with These Worksheets

You can learn Algebra 1 on your own if you go in order and check every answer. The units on this page are already in a sensible order. Here is a simple plan:

1. Start with Algebra Foundations, even if it feels easy. Most later mistakes come from signs and order of operations.
2. Work through Solving Linear Equations and Inequalities. These are the core skills of the whole course.
3. Move to Functions and Linear Functions and Graphs. Learn slope until it feels automatic.
4. Do Systems of Equations, then Exponents and Polynomials, then Factoring.
5. Finish with Quadratic Functions, Statistics and Probability, and Exponential Functions.

For each worksheet, read the review at the top, do every problem on paper, then check with the answer key. If you miss more than a few, read the explanations and redo the sheet the next day before moving on.

Where to Start If You Are Stuck

When a topic feels impossible, the problem is often an earlier skill that never quite settled. Before you redo a hard worksheet, try the one it depends on. Use this table to find it:

Spend a day on the earlier worksheet, check it with the answer key, then go back to the harder one. Most students find it much easier the second time.

Frequently Asked Questions

Where can I get free Algebra 1 worksheets with answers in PDF?

All 64 Algebra 1 worksheets in this set are free PDFs you can print or save with no account needed. Each one is three pages: a short review with a worked example, 12 practice problems including word problems, and an answer section that explains the reasoning. Pick the unit you are studying in class and check your answers only after you finish.

What do Algebra 1 worksheets for 9th grade cover?

Ninth-grade Algebra 1 usually covers expressions, solving linear equations and inequalities, functions, graphing lines, systems of equations, exponents and polynomials, factoring, quadratics, statistics and exponential models. The worksheets follow those 11 units in order. A typical early problem is 4x + 5 = 21, so 4x = 16 and x = 4. Check your teacher’s syllabus, since course order can vary.

Can 8th graders use Algebra 1 worksheets?

Yes. Many students take Algebra 1 in 8th grade, and the content is the same course. Eighth graders often start with the foundation and linear equation units, then move to functions and systems. If a sheet feels too hard, go back to the order of operations or simplifying expressions worksheet first, because later units build on those skills.

Is there an Algebra 1 workbook with answers in PDF?

If you print the 64 worksheets in unit order and keep them in a binder, they work like a free Algebra 1 workbook with an answer key for every page. Students who want a single bound book with lessons and full practice tests can also use a printed Algebra 1 workbook, but the free PDFs cover each core skill on their own.

Is there a free Algebra 1 test with answers in PDF?

You can turn the worksheets into a practice test. Choose one sheet from each unit you have covered, set a timer, and work them without notes, then grade yourself with the answer keys. The units where you lose the most points are the ones to review before your class test or end-of-course exam.

Are there Algebra 1 functions worksheets with answers?

Yes. The Functions and Sequences and Linear Functions and Graphs units include worksheets on function notation, domain and range, slope and graphing, each with an answer key. For example, if f(x) = 2x − 3, then f(5) = 2 × 5 − 3 = 7. Work through function notation first, then move to graphing and writing equations of lines.