Pre-Algebra

Pre-Algebra Topics Covered by …and Math Tutoring

  • Whole numbers
  • Naming decimal places
  • Reading and writing whole numbers
  • Correlation to California Standards
  • Rounding whole numbers
  • Adding and subtracting whole numbers
  • Multiplying and dividing whole numbers
  • Decimals
  • Naming decimal places
  • Reading and writing decimal numbers
  • Rounding decimal numbers
  • Adding and subtracting decimal numbers
  • Multiplying and dividing decimal numbers
  • Fractions and Mixed Numbers
  • Factoring
  • Greatest common factor (GCF)
  • Least common multiple (LCM)
  • Simplifying fractions
  • Changing between fractions and decimals
  • Adding and subtracting fractions / mixed numbers with like / unlike denominators
  • Multiplying and dividing fractions / mixed numbers
  • Algebraic Expressions and Integers
  • Variables and expressions
  • The order of operations
  • Evaluating expressions
  • Adding integers
  • Subtracting integers
  • Multiplying and dividing integers
  • The distributive property
  • Simplifying variable expressions
  • Equations
  • Solving one-step equations by adding or subtracting integers / decimals / fractions
  • Solving one-step equations by multiplying or dividing integers / decimals / fractions
  • One-step equation word problems
  • Solving two-step equations containing integers / decimals / fractions
  • Two-step equation word problems
  • Solving multi-step equations containing integers / decimals / fractions with variables on one or both sides
  • Inequalities
  • Inequalities and their graphs
  • Solving one-step inequalities by adding or subtracting integers / decimals / fractions
  • Solving one-step inequalities by multiplying or dividing integers / decimals / fractions
  • Solving two-step inequalities containing integers / decimals / fractions
  • Solving multi-step inequalities containing integers / decimals / fractions with variables on one or both sides
  • Factors, Fractions, and Exponents
  • Divisibility, factors, and factoring
  • Exponents and multiplication (the product property of exponents)
  • Exponents and division (the quotient property of exponents)
  • Powers of products and quotients
  • Reading and writing scientific notation
  • Multiplying numbers in scientific notation
  • Ratios, Proportions, and Percents
  • Checking if fractions form a proportion
  • Solving proportions
  • Proportion word problems
  • Similar figures
  • Similar figure word problems
  • Converting between fractions, decimals, and percents
  • Percent word problems
  • Percent of change
  • Markup, tax, and discount
  • Simple and compound interest
  • Linear Equations, Inequalities, and Systems
  • Plotting points
  • The midpoint formula
  • Finding slope
  • Slope-intercept form
  • Standard form of a linear equation
  • Writing linear equations
  • Graphing linear inequalities
  • Graphing systems of equations
  • Solving systems of equations by substitution
  • Systems of equations word problems
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