## Topic outline

- ELEMENTARY ALGEBRA COURSEELEMENTARY ALGEBRA COURSE
This comprehensive course contains 10 sections with 88 self-grading lessons, including final assessments. The first section is available to try for free.

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- FoundationsFoundations
- Use place value with whole numbers
- Identify multiples and and apply divisibility tests
- Find prime factorizations and least common multiples

- Use variables and algebraic symbols
- Simplify expressions using the order of operations
- Evaluate an expression
- Identify and combine like terms
- Translate an English phrase to an algebraic expression

- Use negatives and opposites
- Simplify: expressions with absolute value
- Add integers
- Subtract integers

- Multiply integers
- Divide integers
- Simplify expressions with integers
- Evaluate variable expressions with integers
- Translate English phrases to algebraic expressions
- Use integers in applications

- Find equivalent fractions
- Simplify fractions
- Multiply fractions
- Divide fractions
- Simplify expressions written with a fraction bar
- Translate phrases to expressions with fractions

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- Foundations - Final AssessmentFoundations - Final Assessment
This is the final assessment for

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The full course includes all 88 lessons, including 10 Final Assessments with Instructor Answer Keys.

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- Solving Linear Equations and InequalitiesSolving Linear Equations and Inequalities
2.1. Solve Equations Using the Subtraction and Addition Properties of Equality

2.2. Solve Equations using the Division and Multiplication Properties of Equality

2.3. Solve Equations with Variables and Constants on Both Sides

2.4. Use a General Strategy to Solve Linear Equations

2.5. Solve Equations with Fractions or Decimals

2.6. Solve a Formula for a Specific Variable

2.7. Solve Linear Inequalities

Final Assessment - Math ModelsMath Models
3.1. Use a Problem-Solving Strategy

3.2. Solve Percent Applications

3.3. Solve Mixture Applications

3.4. Solve Geometry Applications: Triangles, Rectangles, and the Pythagorean Theorem

3.5. Solve Uniform Motion Applications

3.6. Solve Applications with Linear Inequalities

Final Assessment - GraphsGraphs
4.1. Use the Rectangular Coordinate System

4.2. Graph Linear Equations in Two Variables

4.3. Graph with Intercepts

4.4. Understand Slope of a Line

4.5. Use the Slope–Intercept Form of an Equation of a Line

4.6. Find the Equation of a Line

4.7. Graphs of Linear Inequalities

Final Assessment - Systems of Linear EquationsSystems of Linear Equations
5.1. Solve Systems of Equations by Graphing

5.2. Solve Systems of Equations by Substitution

5.3. Solve Systems of Equations by Elimination

5.4. Solve Applications with Systems of Equations

5.5. Solve Mixture Applications with Systems of Equations

5.6. Graphing Systems of Linear Inequalities

Final Assessment - PolynomialsPolynomials
6.1. Add and Subtract Polynomials

6.2. Use Multiplication Properties of Exponents

6.3. Multiply Polynomials

6.4. Special Products

6.5. Divide Monomials

6.6. Divide Polynomials

6.7. Integer Exponents and Scientific Notation

Final Assessment - FactoringFactoring
7.1. Greatest Common Factor and Factor by Grouping

7.2. Factor Quadratic Trinomials with Leading Coefficient 1

7.3. Factor Quadratic Trinomials with Leading Coefficient Other than 1

7.4. Factor Special Products

7.5. General Strategy for Factoring Polynomials

7.6. Quadratic Equations

Final Assessment - Rational Expressions and EquationsRational Expressions and Equations
8.1. Simplify Rational Expressions

8.2. Multiply and Divide Rational Expressions

8.3. Add and Subtract Rational Expressions with a Common Denominator

8.4. Add and Subtract Rational Expressions with Unlike Denominators

8.5. Simplify Complex Rational Expressions

8.6. Solve Rational Equations

8.7. Solve Proportion and Similar Figure Applications

8.8. Solve Uniform Motion and Work Applications

8.9. Use Direct and Inverse Variation

Final Assessment - Roots and RadicalsRoots and Radicals
9.1. Simplify and Use Square Roots

9.2. Simplify Square Roots

9.3. Add and Subtract Square Roots

9.4. Multiply Square Roots

9.5. Divide Square Roots

9.6. Solve Equations with Square Roots

9.7. Higher Roots

9.8. Rational Exponents

Final Assessment - Quadratic EquationsQuadratic Equations
10.1. Solve Quadratic Equations Using the Square Root Property

10.2. Solve Quadratic Equations by Completing the Square

10.3. Solve Quadratic Equations Using the Quadratic Formula

10.4. Solve Applications Modeled by Quadratic Equations

10.5. Graphing Quadratic Equations

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