Algebra · Worksheets

Algebra Worksheets

397 worksheets · pick a grade and topic, practice on screen, or print a worksheet and work it on paper.

Grade-by-grade topicsPrintable practice

Absolute value equations and inequalities

5 worksheets

Algebra: Absolute value equations and inequalities worksheets

Graphing Absolute Value InequalitiesAlgebra 1 · Solve and graph solutions to absolute value inequalities, recognizing 'and' (between) vs 'or' (outside) cases.Practice Graphing Solutions to Absolute Value EquationsAlgebra 1 · Solve absolute value equations and graph their solution sets on a number line.Practice Solving Absolute Value EquationsAlgebra 1 · Solve absolute value equations using the two-case method and interpret real-world distance scenarios.Practice Solving Absolute Value InequalitiesAlgebra 1 · Solve and interpret absolute value inequalities, choosing between AND (intersection) and OR (union) solution sets.Practice Writing Absolute Value Equations from GraphsAlgebra 1 · Read the vertex and slope from an absolute value graph and write its equation in the form y = a|x - h| + k.Practice

Absolute value functions

6 worksheets

Algebra: Absolute value functions worksheets

Adding and Subtracting Absolute Value FunctionsAlgebra 1 · Add and subtract absolute value functions and evaluate the resulting combined functions.Practice Domain and Range of Absolute Value FunctionsAlgebra 1 · Determine the domain and range of absolute value functions from their equations.Practice Domain and Range of Absolute Value FunctionsAlgebra 1 · Read the domain and range of absolute value functions from their graphs and equations, including transformations that shift, stretch, or reflect the V.Practice Graphing Absolute Value FunctionsAlgebra 1 · Graph and analyze absolute value functions of the form f(x) = a|x − h| + k, identifying the vertex, direction of opening, and transformations.Practice Transformations of Absolute Value FunctionsAlgebra 1 · Identify and apply translations and reflections to the parent function f(x) = |x|.Practice Transformations of Absolute Value FunctionsAlgebra 1 · Identify and apply translations, reflections, and dilations to the parent function f(x) = |x|.Practice

Use Factoring, Squares to Analyze Graphs

1 worksheet

Algebra: Use Factoring, Squares to Analyze Graphs worksheets

Analyze Quadratic Graphs: Factoring & Completing the SquareAlgebra 1 · Use factoring and completing the square to identify zeros, extreme values, and symmetry of quadratic functions and interpret them in context.Practice

Arithmetic and Geometric Sequences as Functions

1 worksheet

Algebra: Arithmetic and Geometric Sequences as Functions worksheets

Arithmetic & Geometric Sequences as FunctionsAlgebra 1 · Write arithmetic and geometric sequences both recursively and with an explicit formula, use them to model situations, and translate between the two forms.Practice

Average Rate of Change

1 worksheet

Algebra: Average Rate of Change worksheets

Average Rate of ChangeAlgebra 1 · Calculate and interpret the average rate of change of a function over a specified interval, presented symbolically, as a table, or estimated from a graph.Practice

Choosing Appropriate Levels of Accuracy

1 worksheet

Algebra: Choosing Appropriate Levels of Accuracy worksheets

Choosing Appropriate Levels of AccuracyAlgebra 1 · Choose a level of accuracy appropriate to limitations on measurement when reporting quantities (CCSS.N-Q.3).Practice

Combine Different Function Types

1 worksheet

Algebra: Combine Different Function Types worksheets

Combining Different Function TypesAlgebra 1 · Combine standard function types (linear, quadratic, exponential, constant) using arithmetic operations to build new functions that model real-world situations.Practice

Comparing Functions Represented in Different Ways

1 worksheet

Algebra: Comparing Functions Represented in Different Ways worksheets

Comparing Functions Represented in Different WaysAlgebra 1 · Compare properties of two functions each represented in a different way (algebraically, graphically, numerically in tables, or by verbal descriptions) — CCSS.F-IF.9Practice

Comparing Linear, Quadratic, Polynomial, Exponential Growth

1 worksheet

Algebra: Comparing Linear, Quadratic, Polynomial, Exponential Growth worksheets

Comparing Linear, Quadratic, Polynomial & Exponential GrowthAlgebra 1 · Observe using graphs and tables that a quantity increasing exponentially eventually exceeds a quantity increasing linearly, quadratically, or as a polynomial function (F-LE.3).Practice

Complete the Square to Find Extrema

1 worksheet

Algebra: Complete the Square to Find Extrema worksheets

Complete the Square to Find ExtremaAlgebra 1 · Complete the square in a quadratic expression to reveal the maximum or minimum value of the function it defines.Practice

Compose Two Functions

1 worksheet

Algebra: Compose Two Functions worksheets

Compose Two FunctionsAlgebra 1 · Practice composing two functions to build a new function, including evaluating and simplifying composite function expressions (F-BF.1.c).Practice

Constructing Linear and Exponential Functions

1 worksheet

Algebra: Constructing Linear and Exponential Functions worksheets

Constructing Linear & Exponential FunctionsAlgebra 1 · Construct linear and exponential functions, including arithmetic and geometric sequences, given a graph, a description of a relationship, or two input-output pairs (including reading these from a table).Practice

Creating and Graphing Two Variable Equations

1 worksheet

Algebra: Creating and Graphing Two Variable Equations worksheets

Creating & Graphing Two-Variable EquationsAlgebra 1 · Create equations in two or more variables to represent relationships between quantities and graph equations on coordinate axes with labels and scales (CCSS A-CED.2).Practice

Creating/Solving One Variable Equations/Inequalities

1 worksheet

Algebra: Creating/Solving One Variable Equations/Inequalities worksheets

Creating & Solving One-Variable Equations and InequalitiesAlgebra 1 · Create equations and inequalities in one variable from real-world and mathematical contexts — including linear, quadratic, rational, and exponential relationships — and use them to solve problems (A-CED.1).Practice

Deconstructing Complicated Expressions

1 worksheet

Algebra: Deconstructing Complicated Expressions worksheets

Deconstructing Complicated ExpressionsAlgebra 1 · Interpret complicated expressions by viewing one or more of their parts as a single entity (CCSS A-SSE.1b).Practice

Defining Quantities for Descriptive Modeling

1 worksheet

Algebra: Defining Quantities for Descriptive Modeling worksheets

Defining Quantities for Descriptive ModelingAlgebra 1 · Define appropriate quantities for the purpose of descriptive modeling (N-Q.2). Students identify which measurable quantities best capture a real-world situation and choose units, variables, and relationships that make a model useful.Practice

Explaining and Justifying Equation Solving Steps

1 worksheet

Algebra: Explaining and Justifying Equation Solving Steps worksheets

Explaining & Justifying Equation-Solving StepsAlgebra 1 · Explain each step in solving a simple equation as following from the equality of numbers asserted at the previous step, and construct a viable argument to justify a solution method (CCSS A-REI.1).Practice

Function Notation and Evaluation

1 worksheet

Algebra: Function Notation and Evaluation worksheets

Function Notation and EvaluationAlgebra 1 · Use function notation, evaluate functions for inputs in their domains, and interpret statements that use function notation in terms of a context.Practice

Deriving/Applying the Geometric Series Formula

1 worksheet

Algebra: Deriving/Applying the Geometric Series Formula worksheets

Geometric Series Formula: Derive & ApplyAlgebra 1 · Derive the formula for the sum of a finite geometric series and use it to solve problems (CCSS A-SSE.4).Practice

Graph Linear and Quadratic Functions

1 worksheet

Algebra: Graph Linear and Quadratic Functions worksheets

Graphing Linear & Quadratic FunctionsAlgebra 1 · Graph linear and quadratic functions and identify intercepts, maxima, and minima (CCSS.F-IF.7.a).Practice

Graph Square Root and Piecewise Functions

1 worksheet

Algebra: Graph Square Root and Piecewise Functions worksheets

Graphing Square Root & Piecewise FunctionsAlgebra 1 · Graph square root, cube root, and piecewise-defined functions, including step functions and absolute value functions (CCSS.F-IF.7.b).Practice

Graphs as Sets of Solutions

1 worksheet

Algebra: Graphs as Sets of Solutions worksheets

Graphs as Sets of SolutionsAlgebra 1 · Understand that the graph of an equation in two variables is the set of all its solutions plotted in the coordinate plane, often forming a curve (which could be a line).Practice

Interpreting/Sketching Key Features of Functions

1 worksheet

Algebra: Interpreting/Sketching Key Features of Functions worksheets

Interpreting & Sketching Key Features of FunctionsAlgebra 1 · Interpret key features of graphs and tables (intercepts, increasing/decreasing intervals, extrema, symmetry, end behavior) in terms of real-world quantities, and sketch graphs given verbal descriptions.Practice

Interpret Exponential Functions and Growth Rate

1 worksheet

Algebra: Interpret Exponential Functions and Growth Rate worksheets

Interpreting Exponential Functions & Growth RateAlgebra 1 · Use properties of exponents to interpret exponential expressions, identify percent rate of change, and classify functions as exponential growth or decay.Practice

Interpreting Parameters in Linear/Exponential Models

1 worksheet

Algebra: Interpreting Parameters in Linear/Exponential Models worksheets

Interpreting Parameters in Linear & Exponential ModelsAlgebra 1 · Interpret the parameters (slope, y-intercept, growth/decay factor, initial value) in linear and exponential functions in terms of a real-world context (CCSS F-LE.5).Practice

Modeling with Equation/InequalityConstraints

1 worksheet

Algebra: Modeling with Equation/InequalityConstraints worksheets

Modeling with Equation & Inequality ConstraintsAlgebra 1 · Represent constraints by equations or inequalities, and by systems of equations and/or inequalities, and interpret solutions as viable or nonviable options in a modeling context (CCSS.A-CED.3).Practice

Recognize Percent Growth or Decay

1 worksheet

Algebra: Recognize Percent Growth or Decay worksheets

Recognize Percent Growth or DecayAlgebra 1 · Recognize situations in which a quantity grows or decays by a constant percent rate per unit interval relative to another (CCSS F-LE.1c).Practice

Relating Domain to Context and Graphs

1 worksheet

Algebra: Relating Domain to Context and Graphs worksheets

Relating Domain to Context and GraphsAlgebra 1 · Relate the domain of a function to its graph and, where applicable, to the quantitative relationship it describes (CCSS.F-IF.5).Practice

Rewrite Exponential Expressions Using Exponents

1 worksheet

Algebra: Rewrite Exponential Expressions Using Exponents worksheets

Rewrite Exponential Expressions Using Properties of ExponentsAlgebra 1 · Use the properties of exponents to transform expressions for exponential functions, revealing equivalent rates over different time periods (CCSS A-SSE.3.c).Practice

Rewriting Rational Expressions

1 worksheet

Algebra: Rewriting Rational Expressions worksheets

Rewriting Rational ExpressionsAlgebra 1 · Rewrite simple rational expressions in the form q(x) + r(x)/b(x) using polynomial long division and inspection.Practice

Sequences as Functions and Recursion

1 worksheet

Algebra: Sequences as Functions and Recursion worksheets

Sequences as Functions & RecursionAlgebra 1 · Recognize that sequences are functions, sometimes defined recursively, whose domain is a subset of the integers (CCSS.F-IF.3).Practice

Solve Quadratics by Multiple Methods

1 worksheet

Algebra: Solve Quadratics by Multiple Methods worksheets

Solve Quadratics by Multiple MethodsAlgebra 1 · Solve quadratic equations by inspection, taking square roots, completing the square, the quadratic formula, and factoring. Recognize when the quadratic formula gives complex solutions and write them as a ± bi.Practice

Solving One Variable Linear Equations/Inequalities

1 worksheet

Algebra: Solving One Variable Linear Equations/Inequalities worksheets

Solving One-Variable Linear Equations & InequalitiesAlgebra 1 · Solve linear equations and inequalities in one variable, including equations with coefficients represented by letters (CCSS.A-REI.3).Practice

Solving Quadratic Equations with Complex Solutions

1 worksheet

Algebra: Solving Quadratic Equations with Complex Solutions worksheets

Solving Quadratic Equations with Complex SolutionsAlgebra 1 · Solve quadratic equations with real coefficients that have complex solutions (CCSS.N-CN.7).Practice

Solving Rational and Radical Equations

1 worksheet

Algebra: Solving Rational and Radical Equations worksheets

Solving Rational and Radical EquationsAlgebra 1 · Solve simple rational and radical equations in one variable, and give examples showing how extraneous solutions may arise (CCSS.A-REI.2).Practice

Terms, Factors, & Coefficients

1 worksheet

Algebra: Terms, Factors, & Coefficients worksheets

Terms, Factors, & CoefficientsAlgebra 1 · Interpret parts of an expression—terms, factors, and coefficients—by identifying and classifying them in algebraic expressions (CCSS A-SSE.1.a).Practice

Understanding and Operating with Polynomials

1 worksheet

Algebra: Understanding and Operating with Polynomials worksheets

Understanding and Operating with PolynomialsAlgebra 1 · Add, subtract, and multiply polynomials, understanding that polynomials are closed under these operations (CCSS A-APR.1).Practice

Understanding Functions, Domain, and Range

1 worksheet

Algebra: Understanding Functions, Domain, and Range worksheets

Understanding Functions, Domain, and RangeAlgebra 1 · Understand that a function assigns each element of the domain exactly one element of the range; use f(x) notation; identify domain and range from various representations.Practice

Understanding Rational Exponents and Radicals

1 worksheet

Algebra: Understanding Rational Exponents and Radicals worksheets

Understanding Rational Exponents & RadicalsAlgebra 1 · Convert between radical notation and rational exponent notation, and apply the properties of integer exponents to rational exponents (CCSS.N-RN.1).Practice