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Honors Pre-algebra

Operations Involving Whole Numbers

Describing Data

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


  • Reducing to lowest terms
  • Multiplication and division
  • Addition and subtraction

Operations on Numbers

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
March 16, 2006by T. Park
student photo
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