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Arithmetic
Chapter 1
Long division
Chapter 2
Define fractions
Simplify fractions
Comparing fractions
Generating equivalent fractions
Mixed numeral to improper fraction
Improper fraction to mixed numeral
Chapter 3
Adding fractions
Subtracting fractions
Chapter 4
Multiplying fractions
Dividing fractions
Chapter 5
Meaning of decimals & rounding
Writing decimals as fractions and fractions as decimals
Comparing decimals
Chapter 6
Adding and subtracting decimals
Chapter 7
Multiplying decimals
Dividing decimals
Elementary Algebra
Chapter 1
Set notation
Prime factorization
Greatest Common Factors
Least Common Multiples
Order of operations with +, -, x, &Mac184;
Order of operations with parentheses and +, -, x, &Mac184;
Chapter 2
Evaluating expressions with natural number substitutions
Using the Distributive Property to remove parentheses
Combining like terms
Chapter 3
Solving linear equations (using natural numbers)
Solving linear equations by first combining like terms
Chapter 4
The integers
Absolute value
Adding integers
Subtracting integers
Add and Subtract Integers
Multiplying Integers
Counting number exponents
Chapter 5
Evaluating expressions with integer coefficients
More Counting number exponents
Simplify expressions (integer coefficients) without parentheses
Simplify expressions (integer coefficients) with parentheses
Commutative & Associative properties.
Chapter 6
Solve linear equations -- addition property.
Solve linear equations -- Multiplication property
Solve linear equations -- addition & multiplication properties.
Solve linear equations -- many terms
Chapter 7
Define rational numbers
Determine greatest common factor
Determine least common multiple
Simplify rational numbers
Add rational numbers
Subtract rational numbers
Multiply rational numbers
Divide rational numbers
Simplify complex fractions
Chapter 8
Define ratio
Define proportion
Word problems with proportions
Chapter 9
Define percent and convert to fractions and decimals.
Convert fractions & decimals to percent
Word problems with percent.
Chapter 10
Word problems with division and subtraction
Word problems with multiplication and addition (rates included)
Chapter 11
Simplify expressions with rational coefficients
Properties of exponents - multiplication
Properties of exponents - division
Chapter 12
Solve equations - addition & multiplication properties
Solve equations - multiple terms
Solve equations - multiplying by the LCM
Chapter 13
Evaluate and solve formulas for an unknown
Solve a formula for a variable
Chapter 14
Properties of exponents - Integer exponents
Define the square root of a number
Simplify square root expressions - multiplicative property
Simplify square root expressions - division property
Simplify square root expressions - combine like terms
Chapter 15
Define Scientific Notation
Convert numerals to Scientific Notation
Calculations with Scientific Notation
Chapter 16
Define the rectangular (Cartesian) coordinate system
Determine solutions to linear equations in two variables
Sketch the graph of linear equations in two variables.
Chapter 17
Using the substitution method to solve a system of equations
Using the addition method to solve a system of equations - part 1
Using the addition method to solve a system of equations - part 2
Chapter 18
Addition and subtraction of polynomials
Multiplication of a monomial and a polynomial
Multiplication of two binomials and a binomial and a trinomial
Chapter 19
Define common factors
Factor out common factors from polynomials
Factor polynomials of the form x2 + bx + c
Factor polynomials of the form ax2 + bx + c
Special factoring: the difference of two squares, etc.
Chapter 20
Simplify Rational Expressions
Multiply Rational Expressions
Add and Subtract Rational expressions
Chapter 21
Review of Addition and Multiplication Properties
Solve Equations with Variables in the Denominator
Chapter 22
Solve equations by factoring - part 1
Solve equations by factoring - part 2
Chapter 23
Solve quadratic equations by taking Square roots - part 1
Solve quadratic equations by taking Square roots - part 2
Solve quadratic equations by using the Quadratic Formula
Chapter 24
Define inequalities in one variable
Graph linear inequalities in one variable
Solve linear inequalities in one variable.
Chapter 25
Define slope
Determine the Slope of the Graph of a Straight Line
Slope-Intercept form of an equation and x- and y-intercepts
Determine the equation of a line given m and a point
Determine the equation of a line given two points
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