# Algebra 1

## Syllabus

### The Basics

• Variable and verbal expressions
• The order of operations
• Evaluating expressions
• Adding integers
• Subtracting integers
• Multiplying and dividing integers
• Adding and subtracting rational numbers
• Multiplying and dividing rational numbers
• The distributive property
• Simplifying variable expressions

### Equations

• Solving one-step equations
• Solving two-step equations
• Solving multi-step equations with variables on one side
• Solving multi-step equations with variables on both sides
• Absolute value equations
• Mixture word problems
• Distance – rate – time word problems
• Work word problems

### Inequalities

• Inequalities and their graphs
• Solving one-step inequalities by adding or subtracting
• Solving one-step inequalities by multiplying or dividing
• Solving two-step inequalities
• Solving multi-step inequalities with variables on one or both sides
• Compound inequalities
• Absolute value inequalities

### Proportions and Percent’s

• Solving proportions
• Percent word problems
• Percent change

### Polynomials

• Naming polynomials by degree and number of terms
• Adding and subtracting polynomials
• Multiplying polynomials
• Multiplying special case polynomials
• Factoring out the GCF
• Factoring trinomials with a = 1
• Factoring trinomials with a ≠ 1
• Factoring special case polynomials
• Factoring by grouping

### Linear Equations and Inequalities

• Finding trig. ratios
• Using trig. ratios to find angles
• Using trig. ratios to find distances

### Exponents

• Zero and negative exponents
• Exponents and multiplication (the product property)
• Exponents and division (the quotient property)
• Powers of products and quotients
• Reading and writing scientific notation
• Operations with numbers in scientific notation

### Quadratic Functions

• Graphing quadratic functions
• Solving quadratic equations by taking square roots
• Solving quadratic equations by factoring
• Solving quadratic equations with The Quadratic Formula
• Solving quadratic equations by completing the square
• Finding the value that completes the square
• Using and understanding the discriminant

### Radical Expressions

• Simplifying radical expressions
• Adding and subtracting radical expressions
• Multiplying radical expressions
• Dividing radical expressions
• Solving radical equations

### Rational Expressions

• Simplifying rational expressions
• Multiplying and dividing rational expressions
• Dividing polynomials
• Adding and subtracting rational expressions
• Solving rational equations