#### 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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