Chapter 1:Foundations for Algebra

1-1:Variables and Expressions
*Translate between words and algebra.
*Evaluate algebraic expressions.


1-2:Adding and Subtracting Real Numbers
*Add real numbers.
*Subtract real numbers.



1-3:Multiplying and Dividing Real Numbers
*Multiply real numbers.
*Divide real numbers.


1-4:Powers and Exponents
*Evaluate expressions containing exponents.




1-5:Square Roots and Real Numbers
*Evaluate expressions containing square roots.
*Classify numbers within the real number system.


1-6:Order of Operations
*Use the order of operations to simplify expressions.


1-7:Simplifying Expressions
*Use the Commutative, Associative, and Distributive Properties to simplify expressions.
*Combine like terms


Chapter 2: Equations
listed below is a word document that has some extra examples of solving eqs:


2-1:Solving Equations by Adding or Subtracting
*Solve one-step equations in one variable by using addition or subtraction.


2-2:Solving Equations by Multiplying or Dividing
*Solve one-step equations in one variable by using multiplication or division.


2-3:Solving Two-Step and Multi-Step Equations
*Solve equations in one variable that contain more than one operation.


2-4:Solving Equations with Variables on Both Sides
*Solve equations in one variable that contain variable terms on both sides.



2-5:Solving for a Variable
*Solve a formula for a given variable.
*Solve an equation in two or more variables for one of the variables.



2-6:Rates, Ratios, and Proportions
*Write and use ratios, rates, and unit rates.
*Write and solve proportions.

2-8:Percents
*Solve problems involving percents


Word Problems:Word Problem Packet

Number and Age

Motion (Same Direction, Opposite Direction, & Round Trip)

Money

Consecutive Integers

Geometry







Chapter 3:Inequalities
Chapter 3 Review Sheet for Test

blank copy of review sheet


3-1:Graphing and Writing Inequalities
*Identify solutions of inequalities in one variable.
*Write and graph inequalities in one variable.

3-2:Solving Inequalities by Adding or Subtracting
*Solve one-step inequalities by using addition.
*Solve one-step inequalities by using subtraction.

3-3:Solving Inequalities by Multiplying or Dividing
*Solve one-step inequalities by using multiplication.
*Solve one-step inequalities by using division.


3-4:Solving two-Step and Multi-Step Inequalities
*Solve inequalities that contain more than one operation.



3-5:Solving Inequalities with Variables on Both Sides
*Solve inequalities that contain variable terms on both sides.

3-6:Solving Compound Inequalities
*Solve compound inequalities in one variable.
*Graph solution sets of compound inequalities in one variable



Chapter 4:Functions

4-2:Relations and Functions
*Identify functions.
*Find the domain and range of relations and functions.


4-4:Graphing Functions
*Graph functions given a limited domain.
*Graph functions given a domain of all real numbers.


Chapter 5:Linear Functions

5-2: Using Intercepts
*Find x- and y- intercepts and interpret their meanings in real-world situations.


5-3:Rate of Change and Slope
*Find rates of change and slopes.
*Relate a constant rate of change to the slope of a line.

5-4:The Slope Formula
*Find slope by using the slope formula.

5-6:Slope-Intercept Form
*Write a linear equation in slope-intercept form.
*Graph a line using slope-intercept form.




5-7:Point-Slope Form
*Graph a line and write a linear equation using point-slope form.
*Write a linear equation given two points.

5-8:Slopes of Parallel and Perpendicular Lines
*Identify and graph parallel and perpendicular lines.
*Write equations to describe lines parallel or perpendicular to a given line



Chapter 6: Systems of Equations and Inequalities

6-1:Solving Systems by Graphing
*Identify solutions of systems of linear equations in two variables.
*Solve systems of linear equations in two variables by graphing.


6-2:Solving Systems by Substitution
*Solve systems of linear equations in two variables by substitution.

6-3:Solving Systems by Elimination
*Solve systems of linear equations in two variables by elimination.
*Compare and choose and appropriate method for solving systems of
linear equations.


6-4:Solving Special Systems
*Solve special systems of linear equations in two variables.
*Classify systems of linear equations and determine the number of
solutions

6-5:Solving Linear Inequalities
*Graph and solve linear inequalities in two variables.

6-6:Solving Systems of Linear Inequalities
*Graph and solve systems of linear inequalities in two variables


Midterm

Chapter 7: Exponents and Polynomials

7-1:Integer Exponents
*Evaluate expressions containing zero and integer exponents.
*Simplify expressions containing zero and integer exponents.

7-3:Multiplication Properties of Exponents
*Use multiplication properties of exponents to evaluate and simplify
expressions.

7-4:Division Properties of Exponents
*Use division properties of exponents to evaluate and simplify
expressions.


7-5:Polynomials
*Classify polynomials and write polynomials in standard form.
*Evaluate polynomial expressions.

7-6:Adding and Subtracting Polynomials
*Add and subtract polynomials.


7-7:Multiplying Polynomials
*Multiply polynomials.





Chapter 8:Factoring Polynomials
8-1:Factors and Greatest Common Factors
*Write the prime factorization of numbers.
*Find the GCF of monomials.

8-2:Factoring by GCF
*Factor polynomials by using the greatest common factor.

8-3:Factoring
*Factor quadratic trinomials

8-4:Factoring
*Factor quadratic trinomials



8-5:Factoring Special Products
*Factor perfect-square trinomials.
*Factor the difference of two squares.


8-6:Choosing a Factoring Method
*Choose an appropriate method for factoring a polynomial.
*Combine methods for factoring a polynomial.




Chapter 9: Quadratic Functions and Equations

9-1:Identifying Quadratic Functions
*Identify quadratic functions and determine whether they have a
minimum or maximum.
*Graph a quadratic function and give its domain and range.

9-2:Characteristics of Quadratic Functions
*Find the zeros of a quadratic function from its graph.
*Find the axis of symmetry and the vertex of a parabola.

9-3:Graphing Quadratic Functions
*Graph a quadratic function

9-6:Solving Quadratic Equations by Factoring
*Solve quadratic equations by factoring.


9-7:Solving Quadratic Equations by Using Square Roots
*Solve quadratic equations by using square roots.

9-9:The Quadratic Formula
*Solve quadratic equations by using the Quadratic Formula.


Chapter 11:Exponential and Radical Functions


11-6:Radical Expressions
*Simplify radical expressions.




11-7:Adding and Subtracting Radical Expressions
*Add and subtract radical expressions.

11-8:Multiplying and Dividing Radical Expressions
*Multiply and divide radical expressions.
*Rationalize denominators.


11-9:Solving Radical Equations
*Solve radical equations.



Chapter 12:Rational Functions and Equations

12-3:Simplifying Rational Expressions
*Simplify rational expressions.


12-4:Multiplying and Dividing Rational Expressions
*Multiply and divide rational expressions.

12-5:Adding and Subtracting Rational Expressions
*Add and subtract rational expressions with like denominators.
*Add and subtract rational expressions with unlike denominators.




12-7:Solving Rational Equations
*Solve rational equations.
*Identify extraneous solutions.