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Algebra 1

Free Algebra 1 study guide: 8 units with summaries, key ideas, flashcards and 270 practice questions with step-by-step solutions.

Lines up with: SAT: Algebra; state end-of-course exams.

Units

1. UNIT 01

   Expressions & real numbers

   Algebra starts with expressions: combinations of numbers, variables and operations. Simplifying and evaluating them correctly is the base for everything else.
2. UNIT 02

   Linear equations & inequalities

   Solving an equation means finding the value that makes it true. Keep the equation balanced by doing the same thing to both sides.
3. UNIT 03

   Linear functions & graphs

   A linear function has a constant rate of change, so its graph is a straight line. Three forms of the equation each make something easy to see.
4. UNIT 04

   Systems of linear equations

   A system of equations asks for values that satisfy every equation at once. Graphically, it's where the lines cross.
5. UNIT 05

   Exponents & exponential functions

   Exponents are repeated multiplication. Exponential functions use a variable exponent and model things that grow or shrink by a constant percent.
6. UNIT 06

   Polynomials & factoring

   Polynomials are sums of terms with whole-number exponents. Factoring rewrites them as products, which is the main tool for solving quadratics.
7. UNIT 07

   Quadratic functions & equations

   Quadratic functions make U-shaped graphs called parabolas. Solving a quadratic equation finds where the parabola crosses the x-axis.
8. UNIT 08

   Data & statistics

   Statistics in Algebra 1 is about summarizing data and describing relationships between two variables.