Algebra 1c 1-1 Symbols and Expressions Terms to Know: Variable: A symbol that represents a number. Algebraic Expression: Is a collection of numbers, operators,

Algebra 1c

1-1 Symbols and Expressions

Terms to Know:

Variable: A symbol that represents a number.Algebraic Expression: Is a collection of numbers, operators, variables, and grouping symbols.

Algebra 1c

1-1 Symbols and Expressions

Terms to Know:

Substitution: When a variable is replaced by a number.

Evaluate: To substitute a number for each variable and calculate (simplify).

Algebra 1c

1-1 Symbols and ExpressionsObjective (things to learn): How to represent numbers and number operations and how to use grouping symbols.

First we will start off with learning the terms that identify specific types of numbers.

The following terms are types of numbers:

Natural Numbers Rational Numbers

Whole Numbers Real numbers

Integers

Algebra 1c

1-1 Symbols and Expressions

W := {0, 1, 2, 3, …}

Natural Numbers N := {1, 2, 3, 4, …}

Whole Numbers

Integers

Q := { All Fractions ie. ...}

Rational Numbers

Real Numbers R := { All Numbers }

Z := {… ,-3, -2, -1, 0, 1, 2, 3, …}

1

2, ,

3

4

5

6,

Algebra 1c

1-1 Symbols and Expressions

The four basic operations to remember are:

Algebra 1c

1-1 Symbols and Expressions

•Addition:

•Subtraction:

•Multiplication:

•Division:

Sum

Difference

Product

Quotient

2 6 8

4 6 24( )

63

79

9 5 4

** The sum of 2 and 6 is 8 **

** The difference of 9 and 5 is 4 **

** The product of 4 and 6 is 24 **

** The quotient of 63 and 7 is 9 **

Algebra 1c

1-1 Symbols and Expressions

Examples:

1. What is the sum of 15 and 19?

** 15 +19 = 34 **

2. What is the difference of 9 and 5?

** 9 - 5 = 4 **

Algebra 1c

1-1 Symbols and Expressions

Examples:

1. What is the product of 4 and 8?

** 4 (8) = 32 **

2. What is the quotient of 36 and 6?

** 36 ÷ 6 = 6 **

Algebra 1c

1-1 Symbols and Expressions

Evaluating expressions containing grouping symbols

Recall: Order of Operations ( PEMDAS )

Please Excuse My Dear Aunt Sally[( )] 63 + -1st 3rd 4th2nd

L R L R

Algebra 1c

1-1 Symbols and Expressions

Evaluating expressions containing grouping symbols

Examples:

22 4 5 6 22 20 6

22 14

8

( )

=

Simplify4 5Simplify20 6

Simplify 22 14

Algebra 1c

1-1 Symbols and Expressions

Evaluating expressions containing grouping symbols

Examples:

( ) ( )45 9 12 6 5 6

11

Simplify45 9 12 6 and

Simplify 5 6

Algebra 1c

1-1 Symbols and Expressions

Evaluating expressions containing grouping symbols

Examples:

64

4(12 - 4)

64

4 8

64

322

( )Simplify 12 4

Simplify 4 8

Simplify 64 2

Algebra 1c