# 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
• 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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