**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

**Proportions and Percent’s**

- Solving proportions
- Percent word problems
- Percent change

**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

**Rational Expressions**

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

**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

**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

**Radical Expressions**

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

**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

**Linear Equations and Inequalities**

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

**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