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College Algebra - MATH 101

Covers equations, inequalities, functions, polynomials, exponentials, logarithms, systems, and applications.

Study Tools

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Study guides

14

10/14 10. Exponential Functions and Applications

A progressive guide to modeling growth and decay, graphing exponential functions, applying compound-interest formulas, and solving exponential equations and real-world problems.
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02/14 2. Linear Equations and Applications

A progressive guide to solving linear equations, rearranging formulas, using proportions and percents, and modeling everyday applications with equations.
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13/14 13. Sequences, Series, and Mathematical Modeling

A structured guide to sequences, series, and mathematical modeling, including arithmetic and geometric patterns, finite and infinite sums, exponential growth and decay, polynomial models, and model evaluation.
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14/14 14. Algebraic Modeling and Applications

A practical guide to translating real-world situations into equations, functions, systems, and inequalities, then solving and interpreting the results with appropriate units and realistic restrictions.
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07/14 7. Quadratic Functions and Equations

A progressive guide to recognizing, graphing, solving, and applying quadratic functions and equations using multiple algebraic methods.
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09/14 9. Rational Expressions and Functions

A structured guide to simplifying rational expressions, solving rational equations, analyzing rational functions, graphing their key features, and applying them to rates, work, and cost models.
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05/14 5. Linear Functions and Models

A structured guide to identifying, graphing, writing, evaluating, and applying linear functions, including piecewise definitions and real-world linear models.
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04/14 4. Functions and Their Graphs

A progressive guide to relations, functions, domains and ranges, representations, graph transformations, and inverse functions.
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11/14 11. Logarithmic Functions and Equations

A structured guide to interpreting, rewriting, graphing, transforming, and solving logarithmic functions and equations while respecting domain restrictions.
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12/14 12. Systems of Equations and Inequalities

Builds a connected understanding of systems of equations and inequalities, including graphical, algebraic, matrix, technological, and modeling methods.
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06/14 6. Polynomial Expressions and Functions

A structured guide to operating on polynomials, dividing them, applying the Remainder and Factor Theorems, and finding polynomial zeros through factoring and rational-root testing.
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01/14 1. Algebraic Foundations and Factoring

A structured introduction to real numbers, algebraic expressions, equations, and systematic polynomial factoring, with worked examples and verification strategies.
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08/14 8. Higher-Degree Polynomial Functions

A structured guide to solving higher-degree polynomial equations and inequalities, interpreting real and complex zeros, analyzing polynomial graphs, and applying polynomial models.
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03/14 3. Inequalities

A step-by-step guide to solving, representing, graphing, and applying linear, compound, and absolute-value inequalities.
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Quizzes

14

13/14 13. Sequences, Series, and Mathematical Modeling

A medium-difficulty quiz on sequences, series, exponential and polynomial models, and the process of choosing and evaluating mathematical models. Questions progress from identifying and applying sequence rules to evaluating models and explaining modeling choices.
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14/14 14. Algebraic Modeling and Applications

A 14-question quiz on algebraic modeling and applications. The questions progress from foundational model selection to applied interpretation and solution of real-world algebraic models.
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09/14 9. Rational Expressions and Functions

A medium-difficulty quiz on simplifying, solving, analyzing, and applying rational expressions, equations, and functions.
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12/14 12. Systems of Equations and Inequalities

A medium-difficulty quiz on interpreting, solving, representing, and applying systems of linear equations and inequalities, including substitution, elimination, matrices, modeling, and verification.
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11/14 11. Logarithmic Functions and Equations

A medium-difficulty assessment on logarithmic definitions, properties, graphs, transformations, and equations. Questions progress from foundational interpretation to multistep application and domain checking.
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10/14 10. Exponential Functions and Applications

A medium-difficulty quiz on exponential functions, growth and decay models, compound interest, and solving exponential equations.
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07/14 7. Quadratic Functions and Equations

A medium-difficulty quiz on quadratic functions and equations, including graph features, solution methods, discriminants, completing the square, and applications.
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08/14 8. Higher-Degree Polynomial Functions

A medium-difficulty quiz on higher-degree polynomial equations, complex zeros, polynomial graphs, inequalities, and applications. Questions progress from foundational interpretation to multistep algebraic reasoning.
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06/14 6. Polynomial Expressions and Functions

A medium-difficulty quiz on polynomial expressions and functions, including polynomial structure, operations, identities, division, rational zeros, factors, multiplicity, and factoring strategies.
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02/14 2. Linear Equations and Applications

A 14-question practice quiz on solving linear equations, formulas, proportions, percent applications, and translating real-world situations into equations. Questions progress from foundational applications to more involved reasoning.
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04/14 4. Functions and Their Graphs

A medium-difficulty quiz on relations, functions, domains and ranges, function notation, representations, transformations, and inverse functions. Questions require learners to apply definitions and procedures from the material.
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01/14 1. Algebraic Foundations and Factoring

A 14-question medium-difficulty quiz on algebraic expressions, properties of real numbers and equality, order of operations, and polynomial factoring. Questions progress from foundational application to multistep factoring and solving.
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05/14 5. Linear Functions and Models

A medium-difficulty quiz on linear functions and models, covering slope, intercepts, equations of lines, piecewise functions, graph interpretation, and linear modeling.
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03/14 3. Inequalities

A medium-difficulty quiz on solving, representing, graphing, and applying linear, compound, and absolute-value inequalities. The quiz includes 12 required candidates and 2 additional alternate candidates.
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Flashcards

14

14/14 14. Algebraic Modeling and Applications

Review how to translate real-world situations into algebraic models, solve them, and interpret solutions using units, domains, and context.
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07/14 7. Quadratic Functions and Equations

Review the forms, graph features, solution methods, discriminant, and applications of quadratic functions and equations.
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11/14 11. Logarithmic Functions and Equations

Practice the definitions, properties, graphs, transformations, solution methods, and domain checks used with logarithmic functions and equations.
Flashcards · Updated

09/14 9. Rational Expressions and Functions

A focused flashcard activity covering rational expressions, equations, functions, asymptotes, graph features, and real-world rational models.
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13/14 13. Sequences, Series, and Mathematical Modeling

A focused review of sequences, series, exponential and polynomial models, and principles for choosing and evaluating mathematical models.
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08/14 8. Higher-Degree Polynomial Functions

A focused flashcard set covering higher-degree polynomial equations, complex and rational zeros, graph behavior, inequalities, and applications.
Flashcards · Updated

12/14 12. Systems of Equations and Inequalities

A focused review of solving, representing, graphing, modeling, and checking systems of linear equations and inequalities.
Flashcards · Updated

03/14 3. Inequalities

A focused review of solving, representing, graphing, and applying linear, compound, and absolute-value inequalities.
Flashcards · Updated

01/14 1. Algebraic Foundations and Factoring

A focused review of real numbers, algebraic expressions, equation-solving principles, and essential polynomial factoring methods.
Flashcards · Updated

04/14 4. Functions and Their Graphs

A focused review of relations, functions, domains and ranges, function notation, graph transformations, and inverse functions.
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10/14 10. Exponential Functions and Applications

A focused review of exponential functions, growth and decay models, compound interest, exponential equations, and application strategies.
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06/14 6. Polynomial Expressions and Functions

Review polynomial structure, operations, division, identities, theorems, factoring, and methods for finding polynomial zeros.
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05/14 5. Linear Functions and Models

Review the definitions, calculations, equations, graphs, piecewise rules, and contextual interpretations that define linear functions and models.
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02/14 2. Linear Equations and Applications

Build fluency with solving linear equations, rearranging formulas, proportions, percent relationships, and common applications involving numbers, geometry, rates, and money.
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