8th Independent Topics

Independent Algebra I Topics:

Real Numbers: (Chapter 1)

Classifying numbers

Operations

Algebraic Expressions (Chapter 2)

Translating expressions and equations

Simplifying by combining like terms

Properties

Solution sets

Solving Equations and Inequalities (Chapters 3, 4, and 5)

Related number sentences

Percent equations and percent of change

Mixtures

Literal equations

Uniform motion

Absolute value equations and inequalities

Linear Equations (and inequalities) (Chapter 9)

y = mx + b

slope intercept and standard forms

graphing

Exponential Growth and Decay (Guided – 8.1 to 8.4, Ind. – 6.1-6.4)

Properties of exponents

Polynomials (Chapter 6)

Multiplying and dividing monomials

FOIL

Factoring Polynomials (Chapter 7)

Monomials, Binomials, Trinomials

Special Cases

Grouping

Factor Completely

Solve polynomial equations by factoring

Relations, Functions, and Variation (Chapter 10)

Relations

Functions

Function Notation

Direct Variation

Inverse Variation

Systems of Linear Equations (Chapter 11)

Solve by graphing/substitution/using operations

Radicals (Chapter 12)

Simplifying vs. solving

Radical equations

Pythagorean Theorem

Quadratics (Guided – 9.1 to 9.5, Ind. – Chapter 13)

Graphing

Perfect Squares

Factoring

Quadratic formula

Completing the square

Rational Expressions (Chapter 8)

Simplifying

Multiplying and Dividing

Adding and Subtracting

Mixed and Complex Rational Expressions

Solving Rational Equations