About Course
Students will learn how to represent verbal quantitative situations algebraically and evaluate algebraic expressions for given replacement values of the variables.
In addition, students will perform operations on polynomials, including applying the laws of exponents to perform operations on expressions; adding, subtracting, multiplying, and dividing polynomials; factoring completely first and second degree binomials and trinomials in one variable; simplifying square roots of whole numbers and monomial algebraic expressions; cube roots of integers; and numerical expressions containing square or cube roots.
It also covered solving multistep linear equations and quadratic equations in one variable algebraically, literal equations for a specified variable, systems of two linear equations in two variables algebraically and graphically, and practical problems involving equations, inequalities, and systems of equations.
Main Topics
- Foundations for Algebra
- Solving Equations
- Solving Inequalities
- An Introduction to Functions
- Linear Functions
- Systems of Equations and Inequalities
- Exponents and Exponential Functions
- Polynomials and Factoring
- Quadratic Functions and Equations
- Radical Expressions and Equations
- Rational Expressions and Functions
- Data Analysis and Probability
Course Format
- Online
Course Update
- Once a week, continuous
Course Content
Foundations for Algebra
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Variables and Expressions
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Order of Operations and Evaluating Expressions
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Real Numbers, the Number Line, Properties of Real Numbers
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Adding and Subtracting, Multiplying and Dividing Real Numbers
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The Distributive Property
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Patterns, Equations, and Graphs
Solving Equations
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Solving One-Step Equations
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Solving Multi-Step Equations
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Solving Equations With Variables on Both Sides
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Literal Equations and Formulas
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Ratios, Rates, and Conversions
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Solving Proportions
Solving Inequalities
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Inequalities and Their Graphs
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Solving Inequalities Using Addition or Subtraction
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Solving Inequalities Using Multiplication or Division
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Solving Multi-Step Inequalities
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Working With Sets
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Compound Inequalities
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Absolute Value Equations and Inequalities
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Unions and Intersections of Sets
An Introduction to Functions
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Using Graphs to Relate Two Quantities
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Patterns and Linear Functions
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Nonlinear Functions
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Graphing a Function Rule
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Writing a Function Rule
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Formalizing Relations and Functions
Linear Functions
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Rate of Change and Slope
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Direct Variation
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Slope-Intercept Form
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Point-Slope Form
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Standard Form
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Parallel and Perpendicular Lines
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Scatter Plots and Trend Lines
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Graphing Absolute Value Functions
Systems of Equations and Inequalities
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Solving Systems by Graphing
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Solving Systems Using Substitution
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Solving Systems Using Elimination
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Applications of Linear Systems
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Linear Inequalities
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Systems of Linear Inequalities
Exponents and Exponential Functions
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Zero and Negative Exponents
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Multiplying Powers With the Same Base
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More Multiplication Properties of Exponents
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Division Properties of Exponents
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Rational Exponents and Radicals
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Exponential Functions
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Exponential Growth and Decay
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Geometric Sequences
Polynomials and Factoring
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Adding and Subtracting Polynomials
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Multiplying and Factoring
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Multiplying Binomials
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Multiplying Special Cases
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Factoring Binomials
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Factoring Special Cases
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Factoring by Grouping
Quadratic Functions and Equations
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Quadratic Graphs and Their Properties
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Quadratic Functions
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Solving Quadratic Equations
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Factoring to Solve Quadratic Equations
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Completing the Square
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The Quadratic Formula and the Discriminant
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Linear, Quadratic, and Exponential Models
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Systems of Linear and Quadratic Equations
Radical Expressions and Equations
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The Pythagorean Theorem
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Simplifying Radicals
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Operations With Radical Expressions
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Solving Radical Equations
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Graphing Square Root Functions
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Trigonometric Ratios
Rational Expressions and Functions
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Simplifying Rational Expressions
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Multiplying and Dividing Rational Expressions
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Dividing Polynomials
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Adding and Subtracting Rational Expressions
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Solving Rational Equations
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Inverse Variation
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Graphing Rational Functions
Data Analysis and Probability
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Organizing Data Using Matrices
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Frequency and Histograms
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Measures of Central Tendency and Dispersion
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Box-and-Whisker Plots
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Samples and Surveys
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Permutations and Combinations
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Theoretical and Experimental Probability
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Probability of Compound Events
