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Infinite Pre-Algebra
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Dear Students, understand informally that every number (0-1) has a decimal expansion; for rational numbers show that the decimal expansion repeats eventually, and convert a decimal expansion which repeats eventually into a rational number (0 is a rational number, all integers are rational numbers, zero is a rational number).
Analyze and solve linear equations (augmented matrix, linear differential equation, graphing linear equations, homogeneous differential equation, matrix equation) and pairs of simultaneous linear equations. Dear there are some examples of linear equations in one variable with one.
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Basics
- Naming decimal places
- Reading and writing whole numbers
- Rounding numbers
Naming Decimal Places-System, Linear, Equations
Reading and Writing Whole Numbers
Rounding Numbers-System, Linear, Equations
Arithmetic
- Rounding numbers
- Converting between fractions and decimals
- Converting between percents, fractions, and decimals
- Variable and verbal expressions
- Adding and subtracting integers
- Adding and subtracting decimals
- Adding and subtracting fractions and mixed numbers
- Dividing integers
- Multiplying integers
- Multiplying decimals
- Multiplying and dividing fractions and mixed numbers
- Order of operations
- Evaluating variable expressions
Add and Subtracting Fractions, Mixed Numbers
Adding and Subtracting Decimals Free PDF
Adding and Subtracting Integers Free PDF
Dividing Integers- pre-algebra worksheets
Evaluating Variable Expressions PDF
Fractions and Decimals – pre-algebra worksheets
Fractions Decimals and Percents PDF
Multiplying and Dividing Fractions Free PDF
Multiplying Decimals – pre-algebra worksheets
Multiplying Integers -Algebra practice sheets
Numbers and Expressions – pre-algebra worksheets
Order of Operations – pre-Algebra practice sheets
Number Theory
- Divisibility and factors
- Factoring numbers
- Factoring monomials
- Greatest common factor
- Least common multiple
Divisibility and Factors -Algebra practice sheets
Factoring Monomials – pre-algebra worksheets
Factors and Factorization -Algebra practice sheets
Greatest Common Factor -Algebra practice sheets
Least Common Multiple -Algebra practice sheets
Algebraic Expressions
- Evaluating variable expressions
- Simplifying variable expressions
- The distributive property
- Proportions and Percents
- Converting between percents, fractions, and decimals
- Percent problems, straightforward
- Finding percent change
- Markup, discount, and tax (easy, hard)
- Proportions
- Proportion word problems
- Similar figures
- Similar figure word problems
- Simple and compound interest
Evaluating Variable Expressions
Simplifying Variable Expressions
The Distributive Property Free PDF Download
Inequalities
- Graphing single-variable inequalities
- One-step inequalities by adding/subtracting
- One-step inequalities by multiplying or dividing
- Two-step inequalities
- Multi-step inequalities
Inequalities and Their Graphs Free PDF
Multi-Step Inequalities -Pre-algebra worksheets
Solving One-Step Inequalities Adding PDF
Solving One-Step Inequalities Multiplying
Two-Step Inequalities -Pre-algebra works
Equations
- One-step equations containing integers
- One-step equations containing decimals
- One-step equations containing fractions
- One-step equation word problems
- Two-step equations containing integers
- Two-step equations containing decimals
- Two-step equation word problems
- Multi-step equations
Multi-Step Equations -Pre-algebra works
One-Step Equations With Decimals PDF
One-Step Equations With Fractions Free PDF
One-Step Equations With Integers
One-Step Word Problems -Pre-algebra works
Two-Step Equations With Decimals
Two-Step Equations With Integers
Two-Step Word Problems -Pre-algebra works
Plane Figures
- Rigid Transformations
- Translations
- Rotations
- Reflections
- Angle relationships
- The Pythagorean Theorem
- The distance formula
- The midpoint formula
- Classifying triangles and quadrilaterals
- Angle sum of triangles and quadrilaterals
- Area of triangles
- Area of squares, rectangles, and parallelograms
- Area of trapezoids
- Area and circumference of circles
Angle Relationships -Pre-algebra works
Angle Sum of Triangles and Quadrilaterals
Area of Squares Rectangles Free PDF
Area of Trapezoids -Pre-algebra works
Area of Triangles -Pre-algebra works
Circles -Pre-algebra works Free PDF
Classifying Triangles and Quadrilaterals
Distance Formula -Pre-algebra works
Midpoint Formula -Pre-algebra works
Pythagorean Theorem -Pre-algebra works
Reflections of Shapes -Pre-algebra works
Translations of Shapes -Pre-algebra works
Solid Figures
- Classifying solids
- Volume
- Surface area
Classifying Solids – Solve, Algebra Worksheets
Surface Area of Solids – Solve, Algebra Worksheets
Volumes of Solids – Solve, Algebra Worksheets
Linear Functions
- Finding slope
- Graphing lines using slope-intercept form
- Graphing lines using standard form
- Writing linear equations
- Graphing linear inequalities
Graphing Linear Inequalities
Graphing Lines in Standard Form PDF
Slope – Solve, Algebra Worksheets
Writing Linear Equations – Solve, Algebra Worksheets
Polynomials
- Factoring monomials
- Adding and subtracting polynomials
- Multiplying a polynomial and a monomial
- Multiplying binomials
- Systems of Equations- Pre-Algebra
- Solving systems of equations by graphing
- Solving systems of equations by substitution
- Systems of equations word problems
Adding and Subtracting Polynomials
Factoring Monomials – Solve, Algebra Worksheets
Multiplying a Polynomial and a Monomial
Multiplying Binomials – Solve, Algebra Worksheets
Exponents and Radicals
- Multiplication property of exponents
- Division property of exponents
- Powers of products and quotients
- Writing scientific notation
- Square roots
Exponents and Division – Solve, Algebra Worksheets
Exponents and Multiplication Free PDF
Powers of Products and Quotients PDF
Scientific Notation – Solve, Algebra Worksheets
Square Roots – Solve, Algebra Worksheets
Word Problems
- One-step equation word problems
- Two-step equation word problems
- Proportion word problems
- Similar figure word problems
- Systems of equations word problems
One-Step Equation Word Problems
Proportion Word Problems – pre-algebra problems
Similar Figure Word Problems
Systems Word Problems – pre-algebra problems
Two-Step Word Problems pre-algebra problems
Statistics
- Visualizing data
- Center and spread of data
- Scatter plots
- Using statistical models
Center and Spread of Data – pre-algebra problems
Scatter Plots – pre-algebra problems PDF
Using Statistical Models – pre-algebra problems
Visualizing Data – pre-algebra problems
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