# Tutor Service: Pre-algebra

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## Section 1

Pre-algebra

Factors and multiples

• Factors and multiples
• Prime and composite numbers
• Prime factorization

Exponents intro and order of operations

• Meaning of exponents
• Powers of whole numbers
• Powers of fractions and decimals
• Order of operations introduction
• More on order of operations

Variables & expressions

• Parts of algebraic expressions
• Substitution & evaluating expressions
• Evaluating expressions with multiple variables
• Expression value intuition
• Evaluating expressions word problems
• Writing algebraic expressions introduction
• Writing basic algebraic expressions word problems
• Distributive property with variables
• Combining like terms
• Equivalent expressions

## Section 2

Pre-algebra

Equations & inequalities introduction

• Algebraic equations basics
• One-step equations intuition
• One-step addition & subtraction equations
• One-step multiplication and division equations
• Finding mistakes in one-step equations
• One-step equation word problems
• Intro to inequalities with variables
• Dependent and independent variables
• Analyzing relationships between variables

Percent & rational number word problems

• Percent word problems
• Rational number word problems

Proportional relationships

• Rate problems with fractions
• Constant of proportionality
• Compare and interpret constants of proportionality
• Identifying proportional relationships
• Graphs of proportional relationships
• Writing & solving proportions
• Equations of proportional relationships

One-step and two-step equations & inequalities

• Combining like terms
• The distributive property & equivalent expressions
• Interpreting linear expressions
• Two-step equations intro
• Two-step equations with decimals and fractions
• Two-step equation word problems
• One-step inequalities
• Two-step inequalities

## Section 3

Pre-algebra

Roots, exponents, & scientific notation

• Square roots & cube roots
• Exponent properties intro
• Negative exponents
• Exponent properties (integer exponents)
• Working with powers of 10
• Scientific notation intro
• Arithmetic with numbers in scientific notation
• Scientific notation word problems

Multi-step equations

• Equations with variables on both sides
• Equations with parentheses
• Number of solutions to equations
• Equations word problems

Two-variable equations

• Graphing proportional relationships
• Solutions to linear equations
• Intercepts
• Slope
• Intro to slope-intercept form
• Graphing slope-intercept form
• Writing slope-intercept equations

Functions and linear models

• Functions
• Linear models
• Comparing linear functions
• Constructing linear models for real-world relationships
• Recognizing functions
• Linear and nonlinear functions

Systems of equations

• Intro to systems of equations
• Systems of equations with graphing
• Solving systems with substitution