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# Honors Pre-algebra

#### Number Line and Notation

• Sets
• Subsets of real numbers: natural numbers, integers, rationals, irrationals
• Graphing real numbers on a number line
• Ordering symbols: =,
• The absolute value of a real number
• Grouping symbols
• Exponents

#### The GCF and LCM

• Prime factors
• Greatest common factor
• Least common multiple

#### Fractions

• Reducing to lowest terms
• Multiplication and division

#### Simplifying Expressions

• Constants and variables
• Terms and coefficients
• Combining like or similar terms
• Parentheses
• Evaluating expressions
• Formulas: Substitution

#### Solving Equations I

• Recognizing a linear equation
• The addition and subtraction principles for solving a linear equation
• The multiplication and division principles for solving a linear equation
• Combining the principles

#### Solving Equations II

• Equations with fractions as coefficients
• Equations with no solutions or infinitely many solutions
• Formulas: Solving for a particular unknown

#### Number and Age

• Translating words into algebraic expressions
• Number problems
• Age problems

#### Solving Inequalities

• Recognizing solutions of linear inequalities
• Graphing solutions of inequalities in one variable
• The addition and subtraction principles for solving a linear inequality
• The multiplication and division principles for solving a linear inequality
• Combining the addition, subtraction, multiplication, and division principles
• Solving problems using inequalities