Algebra 1 (9th Grade) Math Worksheets, Lessons and Tests (Free PDF)
These algebra 1 worksheets follow the Common Core State Standards chapter by chapter: each chapter has a lesson, a worksheet of at least 20 exercises with solutions, a timed test with its answer key and an online quiz, all with a free PDF.
Algebra 1 is the high school course on linear, exponential and quadratic functions: solving and graphing linear equations and inequalities, systems of equations, exponent rules, polynomial operations and factoring, solving quadratic equations, sequences, and summarizing one- and two-variable data.
Algebra 1 worksheets: all chapters
1. Structure of Algebraic Expressions
Understand the parts of an algebraic expression · Interpret an expression in context · See part of an expression as a single quantity · Simplify an expression
2. Solving Linear Equations in One Variable
Understand a linear equation in one variable · Solve a two-step equation · Solve an equation with variables on both sides · Write an equation from a word problem
3. Literal Equations and Formulas
Understand a literal equation · Solve a formula for one variable
4. Linear Inequalities in One Variable
Understand a linear inequality · Solve an inequality · Understand a compound inequality · Write an inequality from a situation
5. Functions and Function Notation
Understand a function · Tell if a graph is a function · Find the domain and range in a real situation
6. Slope and Rate of Change
Understand slope · Understand average rate of change
7. Graphing Linear Equations
Graph from slope-intercept form · Graph standard form Ax + By = C · Graph point-slope form
8. Writing Linear Equations and Functions
Write the equation of a line · Write an equation from a table · Write a linear model from a situation
9. Arithmetic and Geometric Sequences
Understand a sequence · Understand an arithmetic sequence · Understand a geometric sequence · Write a rule for a sequence
10. Systems of Linear Equations
Understand a system of linear equations · Understand the substitution method · Understand the elimination method · Set up a word problem as a system
11. Linear Inequalities in Two Variables and Systems
Understand a linear inequality in two variables · Graph a linear inequality · Graph a system of inequalities · Use inequalities in a real situation
12. Exponent Rules and Radicals
Understand zero and negative exponents · Understand rational exponents and radicals · Understand rational and irrational numbers
13. Exponential Functions and Growth
Understand an exponential function · Tell linear from exponential
14. Adding, Subtracting and Multiplying Polynomials
Understand a polynomial · Add and subtract polynomials · Multiply polynomials · Understand the special products
15. Factoring Polynomials
Factor out the greatest common factor · Factor a trinomial \(x^{2} + bx + c\) · Factor when the leading coefficient is not 1
16. Solving Quadratic Equations
A quadratic equation has the form ax² + bx + c = 0.
17. Graphing Quadratic Functions and Transformations
A quadratic function f(x) = ax² + bx + c has a U-shaped graph called a parabola.
18. Data Distributions and Summary Statistics
Display data · Measure the center · Understand an outlier · Describe a distribution
How to use these algebra 1 worksheets
Pick a chapter, read its one-page lesson, then solve the worksheet on paper and check every answer with the solutions page. Take the ten-question quiz to see what is still unclear, and finish with the timed test. Every page can be printed from its PDF button, and the quick practice at the bottom of each page gives ten new questions at every visit.
Algebra 1 math: common questions
What is Algebra 1?
Algebra 1 is usually the first high school math course, taken in 9th grade or earlier. It studies linear, exponential and quadratic functions and the equations that go with them.
What grade is Algebra 1?
Most students take Algebra 1 in 9th grade; strong students take it in 8th grade.
What are the hardest Algebra 1 topics?
Factoring quadratics, solving quadratic equations by completing the square or the quadratic formula, and systems of equations are where students most often need extra practice.
Is there an Algebra 1 practice test?
Yes. Every chapter has a 45-minute test with point values and a solutions page with the scoring guide.