Chapter #1 Introduction to Algebra

​Section 1.1  Variables and Expressions

​Videos
- What is a variable
- Why not use a multiplication sign in an algebraic expression
- Writing expressions 1
- Writing expressions 2

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Section 1.2  Order of Operations and Evaluating Expressions

Videos
- Introduction to order of operations
- Order of operations
- Order of operations 1
- More complicated order of operations example
- Order of operations examples
- Evaluating an expression
- Evaluating a formula using substitution
- Examples of evaluating expressions
- Evaluating expressions with two variables
- Evaluating expressions in word problems

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Section 1.3  Real Numbers and the Number Line

Videos
- Understanding square roots
- Approximating square roots
- Recognizing rational and irrational numbers
- Square roots and real numbers

Online Practice
- Square roots of perfect squares
- Estimating square roots
- Recognizing rational and irrational numbers

Section 1.4  Properties of Real Numbers

​Assignment
none ​

​Videos
- Commutative law of addition
- Commutative property for addition
- Associative law of addition
- Associative law of multiplication
- Identity property of 1
- Identity property of 0

Online Practice
- Properties of numbers

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Section 1.5  Adding and Subtracting Real Numbers

Videos
- Negative numbers introduction
- Adding negative numbers
- Adding and subtracting negative numbers examples
- Why subtracting a negative is equal to adding a positive

Online Practice
- Adding negative numbers
- Adding and subtracting negative numbers

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Section 1.6  Multiplying and Dividing Real Numbers

Videos
- Multiplying positive and negative numbers
- Why a negative times a negative is a positive
- Why a negative times a negative makes intuitive sense
- Dividing positive and negative numbers
- Example multiplying numbers with different signs

Online Practice
- Multiplying and dividing negative numbers

​Section 1.7  Distributive Property and Combining Like Terms

​Videos
- Distributive property
- Distributive property 2
- Distributive property example 
- Distributive property exercise
- Distributive property with rational terms
- Combining like terms
- Combining like terms 1
- Combining like terms 2
- Combining like terms 3

Online Practice
- Distributive property
- Combining like terms
- Combining like terms with distributive property

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Section 1.7 B  More Distributive Property and
​Combining Like Terms

Videos
- Combining like terms and the distributive property
- Distributive Property with rational terms
- Equivalent forms of expressions

Online Practice
- Manipulating linear expressions with rational coefficients
- Equivalent forms of expressions


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