# Topics Covered By Infinite Algebra 1

Infinite Algebra 1 covers all typical algebra material, over 90 topics in all, from adding and subtracting positives and negatives to solving rational equations. Suitable for any class with algebra content. Designed for all levels of learners from remedial to advanced.

Beginning
Algebra

Verbal expressions

Order of operations

Sets of numbers

Adding and subtracting rational numbers

Multiplying rational numbers

Dividing rational numbers

The Distributive Property

Equations

One-step equations

Two-step equations

Multi-step equations

Absolute value equations

Mixture word problems

Distance, rate, time word problems

Work word problems

Literal equations

Inequalities

Graphing single-variable inequalities

One-step inequalities

Two-step inequalities

Multi-step inequalities

Compound inequalities

Absolute value inequalities

Proportions
and Percents

Solving proportions

Percents

Percent of change

Relations and
Introduction to Functions

Discrete relations

Continuous relations

Evaluating and graphing functions

Linear
Equations and Inequalities

Slope

More on slope

Graphing linear equations

Writing linear equations

Graphing linear inequalities

Graphing absolute value equations

Direct and inverse variation

Systems of
Equations and Inequalities

Solving by graphing

Solving by elimination

Solving by substitution

Graphing systems of inequalities

Word problems

Exponents

Properties of exponents

Graphing exponential functions

Writing scientific notation

Operations and scientific notation

Addition and subtraction with scientific notation

Discrete exponential growth and decay word problems

Polynomials

Naming

Adding and subtracting

Dividing

Multiplying

Multiplying special cases

Factoring

Common factor only

Quadratic expressions

Special cases

By grouping

Quadratic
functions

Graphing

Solving equations by taking square roots

Solving equations by factoring

Solving equations with the Quadratic Formula

Understanding the discriminant

Completing the square by finding the constant

Solving equations by completing the square

Radical
Expressions

Simplifying single radicals

The Distance Formula

The Midpoint Formula

Adding and subtracting

Multiplying

Dividing

Equations

Rational
Expressions

Simplifying and excluded values

Multiplying and dividing

Adding and subtracting

Equations

Beginning
Trigonometry

Finding sine, cosine, tangent

Finding angles

Find missing sides of triangles

Statistics

Visualizing data

Center and spread

Scatter plots

Using statistical models