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We will solve equations and inequalities (remember that what we do to one side of the equation, we must also do to the other side!).
- Solving Equations Using the Addition and Subtraction Properties of Equality
- Solving Equations using the Division and Multiplication Properties of Equality
- Solving Equations with Variables and Constants on Both Sides
- Using General Strategy to Solve Linear Equations
- Solving Equations with Fractions or Decimals
- Solving Formula for Specific Variable
- Solving Linear Inequalities
We will look at linear graphs, slopes of lines, equations of lines, and linear inequalities.
- Using the Rectangular Coordinate System
- Graphing Linear Equations in Two Variables
- Graphing with Intercepts
- Understanding Slope of Line
- Using the Slope-Intercept Form of Equation of Line
- Finding the Equation of Line
- Graphs of Linear Inequalities
We will look at methods to solve equations with two variables.
- Solving Systems of Equations by Graphing
- Solving Systems of Equations by Substitution
- Solving Systems of Equations by Elimination
- Graphing Systems of Linear Inequalities
We will explore operations with and properties of polynomials.
- Adding and Subtracting Polynomials
- Using Multiplication Properties of Exponents
- Multiplying Polynomials
- Special Products
- Dividing Monomials
- Dividing Polynomials
- Integer Exponents and Scientific Notation
We will explore the process of factoring expressions and see how factoring is used to solve certain types of equations.
- Finding Greatest Common Factor (GCF)
- Factoring by Grouping
- Factor Quadratic Trinomials with Leading Coefficient 1
- Factor Quadratic Trinomials with Leading Coefficient Other than 1
- Factoring Special Products
- General Strategy for Factoring Polynomials
- Quadratic Equations
We will work with rational expressions, solve rational equations, and use them to solve problems in a variety of applications.
- Simplifying Rational Expressions
- Multiplying/Dividing Rational Expressions
- Adding/Subtracting Rational Expressions with Common Denominator
- Adding/Subtracting Rational Expressions with Unlike Denominators
- Simplifying Complex Rational Expressions
- Solving Rational Equations
- Solving Proportion
We will apply the properties of square roots and extend the concept to higher order roots and rational exponents.
- Simplifying and Using Square Roots
- Simplifying Square Roots
- Adding/Subtracting Square Roots
- Multiplying Square Roots
- Dividing Square Roots
- Solving Equations with Square Roots
We will solve and graph quadratic equations and see how they are applied as models of various situations.
- Solving Quadratic Equations Using the Square Root Property
- Solving Quadratic Equations by Completing the Square
- Solving Quadratic Equations Using the Quadratic Formula
- Graphing Quadratic Equations