1 
Prealgebra Review 
 Classifying Numbers
 Fractions
 Operations with Fractions

 Classify numbers as natural, whole, integer.
 Define rational and irrational numbers.
 Write an integer as a fraction.
 Find the prime factorization for a number.
 Find the GCF for two or more numbers.
 Find the LCM for two or more numbers.
 Reduce Fractions to lowest terms.
 Add and subtract fractions.
 Multiply fractions.
 Divide fractions.

2 
The Real Numbers 
 Decimals and Percents
 Real Numbers and Number Line
 Orders on Real Numbers

 Write a decimal in expanded form.
 Write a decimal as a fraction.
 Write a fraction as a decimal.
 Add, subtract, multiply, and divide decimals.
 Convert decimals to percents and percents to decimals.
 Convert fractions to percents and percents to fractions.
 Identify real numbers.
 Represent integers and real numbers on the number line.
 Find the absolute value of a number.
 Represent intervals on the number line.

3 
Operations with Real Numbers 
 Operations with Real Numbers
 Exponential Expressions
 Order of Operations

 Add two real numbers.
 Subtract one real number from another.
 Add and subtract several real numbers.
 Multiply two real numbers.
 Divide one real number by another.
 Evaluate expressions with exponents.
 Evaluate expressions using the correct order of operations.
 Evaluate expressions with more than one grouping symbol.
 Solve applications.

4 
Properties of Real Numbers 
 Algebraic Expressions
 Properties of Real Numbers
 OSimplifying Expressions

 Identify algebraic expressions.
 Translate verbal expressions to algebraic expressions.
 Translate algebraic expressions to verbal expressions.
 Evaluate algebraic expressions.
 Determine whether a given number satisfies an algebraic equation.
 Identify properties of real numbers.
 Find the additive and/or subtractive inverse of a real number.
 Add, subtract and combine like terms.
 Use the properties of real numbers to simplify expressions.
 Solve applications.

5 
Solving Linear Equations in One Variable 
 The Addition and Multiplication Properties of Equality
 Solving Linear Equations
 Solving Literal Equations (Formulae)

 Determine whether a number satisfies an equation.
 Use the addition and subtraction properties of equality to solve equations.
 Use the multiplication and division properties of equality to solve equations.
 Multiply by reciprocals to solve equations.
 Multiply by least common multiples to solve equations.
 Solving applications involving percents.
 Solve linear equations by using all properties of equality and the rules.
 Use a formula to solve an application.
 Translate verbal expressions into algebraic expressions in more detail.

6 
Applications of Linear Equations and Linear Inequalities in One Variable 
 Applications of Linear Equations
 Solving Linear Inequalities
 Applications of Linear Inequalities

 Solve word problems using linear equations.
 Solve applications involving numbers and mixture problems.
 Determine which of two numbers is greater.
 Use the notation of inequalities.
 Solve and graph linear inequalities.
 Use the addition and subtraction properties of inequalities.
 Use the multiplication and division properties of inequalities with positive numbers.
 Use the multiplication and division properties of inequalities with negative numbers.
 Write, solve, and graph compound inequalities.
 Solve an application using inequalities.

7 
Linear Equations in Two Variables 
 Solutions of Equations in Two Variables
 Graphing Lines in the Coordinate Plane
 Slope of a Line
 Three Forms for the Equation of a Line

 Find solutions of equations in two variables.
 Graph ordered pairs of numbers.
 Determine the coordinates of a point in the plane.
 Graph a linear equation.
 Graph a line using intercepts.
 Solve applications involving linear equations.
 Find the slope of a line given two points.
 Find the slope of a line given the equation of the line.
 Determine whether two lines are parallel, perpendicular, or neither.
 Write the equation of a line in three forms.

8 
Polynomials 
 Exponents and Polynomials
 Addition and Subtraction of Polynomials
 Multiplication of Polynomials
 Division of Polynomials

 Use properties of exponents.
 Classify polynomials.
 Find the degree of a polynomial.
 Add and subtract polynomials.
 Multiply a binomial by a binomial.
 Multiply any two polynomials.
 Find the product of two binomials that differ only by the sign between terms.
 Divide a polynomial by a monomial.
 Divide a polynomial by a binomial.
 Divide one polynomial by another polynomial.

8 
Polynomials 
 Exponents and Polynomials
 Addition and Subtraction of Polynomials
 Multiplication of Polynomials
 Division of Polynomials

 Use properties of exponents.
 Classify polynomials.
 Find the degree of a polynomial.
 Add and subtract polynomials.
 Multiply a binomial by a binomial.
 Multiply any two polynomials.
 Find the product of two binomials that differ only by the sign between terms.
 Divide a polynomial by a monomial.
 Divide a polynomial by a binomial.
 Divide one polynomial by another polynomial.

8 
Polynomials 
 Exponents and Polynomials
 Addition and Subtraction of Polynomials
 Multiplication of Polynomials
 Division of Polynomials

 Use properties of exponents.
 Classify polynomials.
 Find the degree of a polynomial.
 Add and subtract polynomials.
 Multiply a binomial by a binomial.
 Multiply any two polynomials.
 Find the product of two binomials that differ only by the sign between terms.
 Divide a polynomial by a monomial.
 Divide a polynomial by a binomial.
 Divide one polynomial by another polynomial.

9 
Factoring 
 The Greatest Common Factor and the Factorization of Polynomials
 Factoring ax^2+bx+c
 Factoring Strategy
 Solving Quadratic Equations by Factoring and Applications

 Find the greatest common factor of numbers and terms.
 Write polynomials in factored form.
 Factor by grouping. Factor trinomials.
 Factor a polynomial by using a trial and error process.
 Factor squares of binomials.
 Use "ac method" to factor.
 Factor the sum or difference of two cubes.
 Factor a polynomial by using general factoring strategy.
 Solve quadratic equations by factoring.
 Solve applications of quadratic equations.

10 
Rational Expressions 
 Working with Rational ExpressionsI
 Working with Rational Expressions II
 Solving Equations with Rational Expressions
 Applications

 Determine the values that make a rational expression undefined.
 Simplify a rational expression to lowest terms.
 Multiply two rational expressions.
 Divide one rational expression by another.
 Add and subtract rational expressions.
 Use crossmultiplying to solve equations.
 Solve equations involving rational expressions.
 Solve applications with ratios and proportions.

11 
Powers and Roots 
 Roots and Radicals
 Operations with Rational Exponents and Radicals
 Solving Equations with Radicals and Exponents

 Square roots, cube roots and nth roots of numbers.
 Find principal roots of numbers.
 Recognize and write a root using the radical notation.
 Evaluate radicals.
 Find the conjugate of a sum or difference of radicals.
 Simplify radicals using properties of radicals.
 Find the approximate value of radicals using a graphing calculator.
 Write radicals as a rational exponent and rational exponents as a radical.
 Evaluate and simplify rational exponents.
 Solve equations involving radicals and rational exponents.

12 
Quadratic Equations 
 Using the Square Root Property and Factoring
 Completing the Square
 The Quadratic Formula
 Applications

 Solve quadratic equations by square root property.
 Solve quadratic equations by factoring.
 Complete the square for a trinomial expression.
 Solve quadratic equations by completing the square.
 Write quadratic equations in standard form.
 Solve quadratic equations by the quadratic formula.
 Use the Pythagorean Theorem to solve right triangle.
 Solve word problems involving quadratic equations.

13 
Systems of Linear Equations 
 The Graphing Method
 The Substitution Method
 The Addition (Elimination) Method
 Applications

 Solve a system of two equations in two variables by graphing.
 Solve a system of two equations in two variables by adding.
 Solve a system of two equations in two variables by substitution.
 Determine whether a system of equations is consistent, inconsistent, or dependent.
 Solve applications involving coin, general, motion, and investment problems.

14 
Functions and Interpreting Graphs 
 Introduction to Functions
 Applications of Functions
 Interpreting Graphs

 Find domain and ranges.
 Determine whether a relation is a function.
 Use function notation.
 Solve an application.
 Add, subtract, multiply, and divide functions.
 Read and interpret graphs.
 Solve applications involving graphs.

15 
Course Review 

 Review of the course topics.
