logo Your Math Help is on the Way!

More Math Help

Algebraic Symmetries
Radical Expressions and Equation
The Exponential Function
Math 1010-3 Exam #3 Review Guide
Rational Numbers Worksheet
Are You Ready for Math 65?
Solving Simultaneous Equations Using the TI-89
Number Theory: Fermat's Last Theorem
Course Syllabus for Intermediate Algebra
Solving Inequalities with Logarithms and Exponents
Introduction to Algebra Concepts and Skills
Other Miscellaneous Problems
Syllabus for Calculus
Elementary Linear Algebra
Adding and Subtracting Fractions without a Common Denominator
Pre-Algebra and Algebra Instruction and Assessments
Mathstar Research Lesson Plan
Least Common Multiple
Division of Polynomials
Counting Factors,Greatest Common Factor,and Least Common Multiple
Real Numbers, Exponents and Radicals
Math 115 Final Exam Review
Root Finding and Nonlinear Sets of Equations
Math 201-1 Final Review Sheet
Powers of Ten and Calculations
Solving Radical Equations
Factoring Polynomials
Section 8
Declining Price, Profits and Graphing
Arithmetic and Algebraic Structures
Locally Adjusted Robust Regression
Topics in Mathematics
Syllabus for Mathematics
The Quest To Learn The Universal Arithmetic
Solving Linear Equations in One Variable
Examples of direct proof and disproof
Algebra I
Quadratic Functions and Concavity
More on Equivalence Relations
Solve Quadratic Equations by the Quadratic Formula
Solving Equations and Inequaliti
MATH 120 Exam 3 Information
Rational Number Ideas and Symbols
Math Review Sheet for Exam 3
Linear Algebra Notes
Factoring Trinomials
Math 097 Test 2
Intermediate Algebra Syllabus
How to Graphically Interpret the Complex Roots of a Quadratic Equation
The General, Linear Equation
Written Dialog for Problem Solving
Radian,Arc Length,and Area of a Sector
Internet Intermediate Algebra
End Behavior for linear and Quadratic Functions
Division of Mathematics
161 Practice Exam 2
General linear equations
Algebraic Symmetries
Math 20A Final Review Outline
Description of Mathematics
Math 150 Lecture Notes for Chapter 2 Equations and Inequalities
Course Syllabus for Prealgebra
Basic Operations with Decimals: Division
Mathematics Content Expectations
Academic Systems Algebra Scope and Sequence
Syllabus for Introduction to Algebra
Syllabus for Elementary Algebra
Environmental Algebra
More Math Practice Problems
Intermediate Algebra
Syllabus for Linear Algebra and Differential Equations
Intermediate Algebra
Rational Expressions and Their Simplification
Course Syllabus for Intermediate Algebra
GRE Review - Algebra
Foundations of Analysis
Finding Real Zeros of Polynomial Functions
Model Academic Standards for Mathematics
Study Guide for Math 101 Chapter 3
Real Numbers
Math 9, Fall 2009, Calendar
Final Review Solutions
Exponential and Logarithmic Functions

Try the Free Math Solver or Scroll down to Tutorials!












Please use this form if you would like
to have this math solver on your website,
free of charge.

Algebra I

Prerequisite Material

Before taking an Algebra I course, students should understand and be able to apply basic
properties of real numbers (i.e. commutative, associative, distributive properties…), be
able to add, subtract, multiply, and divide integers, fractions, and decimals, convert from
one form of a number to another, understand and apply the order of operations rules,
understand and simplify numerical exponential expressions, have a working
understanding of percents, understand the concepts of variables, expressions, and
equations, solve simple linear equations in one variable, and use ratios and proportions to
solve problems.

Required Material

1. Number Systems

a. Counting Numbers, Whole Numbers, Integers, Rational Numbers,
Irrational Numbers, Real Numbers (MA.A.1.4, MA.A.2.4.2, MA.A.3.4.1,
b. Properties of Real Numbers (MA.A.1.4, MA.A.2.4.2, MA.A.3.4.2,

2. Variables and Expressions

a. Terminology such as variable, algebraic expression, exponential
expression, constant, coefficient, opposite, absolute value, and like terms
b. Simplifying variable expressions such as,

c. Evaluating expressions such as,

for x=-3

3. Solving Linear Equations in One Variable (MA.A.4.4)

a. One-step equations
b. Multi-step equations
c. Equations with variable on both sides of the equal sign
d. Solving a variety of problems including percent problems
e. Solving formulas for specified variables

4. Solving and Graphing Inequalities in One Variable

a. Simple Inequalities (The complexity of these should be consistent with
that of the linear equations that students have learned to solve.)
b. Compound Inequalities

5. Two Variable Functions and their Graphs

a. Relations
b. Functions
c. Different ways of representing functions
d. Graphs of functions
e. An introduction to both linear and nonlinear functions
f. Qualitative graphing

6. Linear Functions in two Variables

a. Slope
b. Intercepts
c. Forms of linear equations (standard, slope-intercept, point-slope)
d. Scatter plots and lines of best fit
e. Direct variation

7. Systems of Two Equations in Two Unknowns

a. Solutions of systems
b. Solving by graphing
c. Solving by substitution
d. Solving by elimination
e. Using systems to solve problems

8. Linear Inequalities in Two Variables and Systems of Linear Inequalities

a. Graphs of linear inequalities and their solutions
b. Graphs of systems of linear inequalities and their solutions
c. Linear programming

9. Equations and Inequalities Involving Absolute Value

a. Solving equations involving absolute value
b. Graphing functions involving absolute value
c. Conjunctions
d. Disjunctions

10. Quadratic Equations

a. Simplifying square root expressions involving both numbers and variables
b. Graphing quadratic functions and identifying their vertices, intercepts, and
lines of symmetry
c. Solving quadratic equations by factoring, taking square roots, and the
quadratic formula
d. Scatter plots and quadratic functions as models

11. Polynomials

a. Multiplying and dividing monomial expressions containing integer
b. Adding and subtracting polynomials
c. Scientific notation
d. Multiplying polynomials
e. Factoring polynomials
f. Solving quadratic equations by factoring

12. Rational Expressions and Equations

a. Simplifying rational expressions
b. Multiplying and dividing rational expressions
c. Adding and subtracting rational expressions
d. Solving equations with rational expressions
e. Solving problems involving indirect variation

13. Radical Expressions and Right Triangles

a. Simplifying, adding, subtracting, and multiplying square root expressions
(MA.A.1.4.1, MA.A.3.4.3
b. Rationalizing denominators
c. Solving equations with square roots
d. The Pythagorean Theorem
e. The distance formula
f. The midpoint formula
g. Solving similar triangle problems
h. Right triangle trigonometry

14. Probability

a. Combinations, permutations, and sample spaces
b. Compute simple probabilities

15. Data Analysis

a. a. Tables and graphs
b. Distributions and their shapes
c. Measures of center (mean, median, and mode)
d. Measures of spread (range, interquartile range, variance, standard
e. Outliers
f. Samples and populations

Other Considerations

• There should be an emphasis on the understanding of the underlying concepts.

• Communication, both oral and written, should be emphasized throughout the
course. Written solutions to problems should be expected and evaluated.

• Students should be allowed to use calculators and computers where appropriate.*

• Classroom activities should be student-centered and involve active/experiential

• There should be an emphasis on problem-solving, estimation, and real-world

• Alternative assessment should be incorporated into student evaluation.*

• At the end of each semester, a summary of the mathematics covered should occur
in which the relationships among concepts are emphasized. Semester exams are
required of all students.

*Taken from the Florida Department of Education Basic Assumptions for Mathematics