Algebra

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Algebra

• Order of operations (5.01)
• Use and evaluate algebraic expressions (5.02)

Presentation By Suzanne Jenkins
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Essential Question

• What is the order of operations and why do we use
  them?
• What are variable expressions?

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Vocabulary

• Numerical expression
• Grouping symbols
• Evaluate
• Order of operations

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Vocabulary Definition Example
Numerical Expression
A number sentence representing a value.
4 3 7
Grouping Symbols
Parenthesis, brackets, or fraction bars used to
show the operation to be completed first.
7 (11 2)
Evaluate
Finding the value of an expression.
5 1 4
Order of Operations
The order in which all numerical expressions are
solved.
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Why do we need a order of operations?
Take a Look at this...
Ex 20 (3 x 5) 3
Left to Right
20 3 17 x 5 85 3 23 R1
Random Order
3 x 5 15 20 -15 5 5 3 1 R2
Order of Operations
3 x 5 15 3 5 20 5 15
If we didnt have a standard way to solve
problemsHow would we know when we had the
correct one!
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Order of operations
Please
Excuse
My Dear
Aunt Sally
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Please
(Parenthesis)
Ex (49) - 5
(4 9) 5
(13) -5
8
8
Excuse
2
Exponents
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Ex 5 3
3
5 3
5 3 x 3 x 3
5 27
32
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My Dear

X
Multiplication or Division
Ex 18 3 4 1
18 3 4 1
6 4 1
6 4 1
6 4
2
10
Aunt Sally
-

Addition and Subtraction
Ex 15 7 3
15 -7 3
8 3
8 3
11
11
Try These...
(13-6) X 4
3
(5 3) X 2 2
4 x (9 7) 6
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Vocabulary

• Variable
• Variable Expression

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Vocabulary Definition Example
A symbol, usually a letter, that represents one
or more numbers.
Variable
t 2
Variable Expression
A numerical expression with numbers, letters, and
the operations to be performed
S 5
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Key Variable Phrases of Variable Expressions
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Try These...
Five More than x
The product of ten and s
The difference in six and t
The quotient of eight and b