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Intermediate Algebra: Master Core Concepts & Skills

Adding and Subtracting Integers

Introduction to integer addition

Adding 1-digit integers

Opposite Integers — Up to 10

Adding integers

Adding 2-digit integers

Introduction to integer subtraction

Integer Subtraction — Missing Value

Subtracting 1-digit integers

Subtracting integers

Subtracting 2-digit integers

Application of integer operations

Application of Integer Operations – Word Problem

Application of Integer Operations  – Word Problem

Multiplying and Dividing Integers

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Understanding integer multiplication

Multiplying 1-digit Integers

Multiplying 1-digit integers Mixed Sign

Multiplying integers

Multiplying 2-Digit Integers

Multiplying 1 and 2 Digit Integers

Understanding integer division

Dividing by 1-Digit Integers

Dividing by 1-Digit Integers Mixed Sign

Dividing integers

Dividing by 2-Digit Integers

Dividing by 2-Digit Integers Mixed Sign

Applications of integer operations

Multiple Integer Operations

Three Step Integer Operations Combined Multiply Divid

Three Step Integer Operations Divide Add Or Minus Multiply

Three Step Integer Operations Divide Add Or Minus

Three Step Integer Operations Multiply Add Minus Divide

Three Step Integer Operations Multiply Add Or Minus

Operations with Decimals

Adding and subtracting decimals

Subtracting Decimals — Data Table

Ordering Decimals — Data Table

Decimals – Word Problem

Adding Decimals

Subtracting Decimals

Multiplying decimals

Multiplying Decimals

Dividing decimals 

Dividing Decimals

Order of operations (BEDMAS)

Mixed Operations with Decimals

Mixed Operations

Identify the Order of Operations

Order of Operations — Word Problem

Mixed Operations with Decimals Bracket

Mixed Operations with Bracket Square

Adding and Subtracting Fractions

Using models to add and subtract fractions

Add Fractions With Models

Subtract Fractions With Models

Adding fractions with like denominators

Adding Fractions — with like denominators — 3-digit without simplifying

Adding Fractions — with like denominators — 3-digit

Adding Fractions — Word problem: baking

Add fractions with like denominator

Adding Fractions — with like denominators — 1-digit

Adding Fractions — with like denominators — 2-digit

Adding Fractions — Word problem: beads

Subtracting fractions with like denominators 

Subtract fractions with like denominator

Subtracting Fractions — with like denominators — 2-digit

Subtracting Fractions — with like denominators — Larger 2-digit

Subtracting Fractions — with like denominators — 3 digit

Subtracting fractions — Word problem: competition

Subtracting fractions — Word problem: snack

Adding and subtracting fractions with unlike denominators

Adding and Subtracting Fractions — Find the lowest common denominator (LCD)

Adding and Subtracting Fractions — Find the LCD and evaluate

Add fractions with unlike denominator

Subtract fractions with unlike denominator

Adding and Subtracting Fractions — Word problem: cargo ship

Adding Fractions — with unlike denominators

Subtracting Fractions — with unlike denominators

Adding and subtracting mixed numbers

Adding Mixed Numbers — Word Problem

Subtracting Mixed Numbers — Word Problem

Add mixed fractions with like denominator

Add mixed fractions with unlike denominator

Multiplying and Dividing Fractions

Multiplying fractions and whole numbers

Multiply a fraction with a whole number

Multiplying Fractions — with whole numbers — 1 digit

Multiplying Fractions — with whole numbers — 2 digits

Application of Multiplying Fractions and Whole Numbers – Word Problems

Dividing fractions with whole numbers

Divide a fraction by a whole number

Divide a Fraction by a Whole Number

Divide a Fraction by a Whole Number Number RHS

Multiplying proper fractions

Multiply Proper Fractions — 1 Digit Fractions

Multiplying improper fractions and mixed numbers

Multiply Mixed Numbers

Dividing fractions and mixed numbers

Divide Fractions and Mixed Numbers – Word Problem

Dividing Mixed numbers

Dividing Mixed Numbers

Applications of fraction operations

Fraction Operations

Introduction to Variables and Expressions

Evaluating algebraic expressions

Evaluating Algebraic Expressions

Coordinates, Quadrants, and Transformations

Cartesian plane

Cartesian Plane — Coordinates

Draw on coordinate planes

Introduction to transformations

Horizontal and vertical distances

Number System

Understanding the number systems

Prime factorization

Number properties: Prime or Composite

Number properties: Prime?

Prime factors – Word Problem

Greatest Common Factors (GCF)

Greatest Common Factor 2 Numbers

Greatest Common Factor 2 Numbers – Word Problem

Least Common Multiple (LCM)

Lowest Common Multiple - 2 Numbers – Word Problem

Lowest Common Multiple 2 Numbers

Rational vs. Irrational numbers

Converting repeating decimals to fractions

Set Theory

Set notation

Understanding How to Use Set Notation

Set builder notation

Intersection and union of 2 sets

Intersection and Union of 2 Sets

Intersection and union of 3 sets

Intersection and Union of 3 Sets

Solving Linear Equations

Solving linear equations using multiplication and division

Two-step Linear Equations LHS

Two-step Linear Equations RHS

Solving two-step linear equations: ax + b = c, x/a + b = c

Solving two-step linear equations: ax + b = c, x/a + b = c

Solving linear equations using distributive property: a(x + b) = c

Solving linear equations using distributive property: a(x + b) = c

Solving linear equations with variables on both sides

Solving literal equations

Introduction to Relations and Functions

Relationship between two variables

Understand relations between x- and y-intercepts

Domain and range of a function

Identifying functions

Function notation

Linear Functions

Distance formula: \(d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\)

Distance formula: <katex>d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}</katex>

Distance formula

Midpoint formula: \(M = ( \frac{x_1+x_2}2  ,\frac{y_1+y_2}2)\)

Midpoint formula

Midpoint formula: <katex>M = ( \frac{x_1+x_2}2 ,\frac{y_1+y_2}2)</katex>

Midpoint formula: <katex>M = ( \frac{x_1+x_2}2 ,\frac{y_1+y_2}2)</katex>

Slope equation: \(m = \frac{y_2-y_1}{x_2- x_1}\)

Slope equation: <katex>m = \frac{y_2-y_1}{x_2- x_1}</katex>

Slope intercept form: y = mx + b

General form: Ax + By + C = 0

Point-slope form: \(y - y_1 = m (x - x_1)\)

Graphing linear functions using table of values

Graphing linear functions using x- and y-intercepts

Intermediate Algebra

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