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Variable expressions

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... is a mathematical phrase that uses variables, numbers, and operation symbols ... Do all the operations within grouping symbols first ... – PowerPoint PPT presentation

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Title: Variable expressions


1
  • Variable expressions

2
Definition
  • A Variable is a placeholder in a algebraic
    expression
  • A Variable represents some number in a variable
    expression

3
Variable
  • is the Variable in the following expression

4
Definition
  • A Variable or Algebraic expression is a
    mathematical phrase that uses variables, numbers,
    and operation symbols

5
  • Special notation

6
Expressions
  • Is the following mathematical phrase a numerical
    expression or variable expression?

7
Expressions
  • Is the following mathematical phrase a numerical
    expression or variable expression?

8
Objective
  • Write verbal phrases as variable expressions

9
Algebraic expressions
  • Words that indicate mathematical operations
  • (Page 5 in Book)

10
  • Words that indicate mathematical operations

Total More than Increased
by Difference Fewer than Less
than Decreased by Product x Times
x Quotient Divided by
11
Example
  • To determine your normal blood pressure divide
    your age by 2 and add 110

12
Example
  • Let the variable a represent age in the
    expression

13
Example
  • Becomes

14
Evaluate
  • if

15
Algebraic expressions
  • A number increased by 3
  • Let n represent the number
  • The wordsincreased by suggest addition

16
Algebraic expressions
  • The algebraic expression is

17
Algebraic expressions
  • A number divided by 8
  • Let n represent the number
  • The wordsdivided by suggest division

18
Algebraic expressions
  • The algebraic expression is

19
Algebraic expressions
  • The quotient of ninety-two and c
  • Let c be the variable
  • The word quotient implies division

20
Algebraic expressions
  • The algebraic expression is

21
Algebraic expressions
  • A number decreased by 7
  • Let c be the variable
  • The words decreased by imply subtraction

22
Algebraic expressions
  • The algebraic expression is

23
Class work
  • 1- 4 Practice (all)
  • Jumping Cows

24
Evaluate Variable Expression
  • You can evaluate a variable expression by
    replacing each variable with a number
  • Then use order of operations to simplify

25
Variables Order of Operations
  • You can evaluate a variable expression by
    replacing each variable with a number
  • Do all the operations within grouping symbols
    first
  • multiply and divide in order from left to right
  • add and subtract in order from left to right

26
Variables
  • Evaluate the following
  • If a 4

27
Variables
  • Evaluate the following
  • If a 4

28
Variables
  • Evaluate the following
  • If a 4, b 2, c 3

29
Variables
  • Evaluate the following
  • If a 4, b 2, c 3

30
Variables
  • Evaluate the following
  • If a 4, b 2, c 3

31
Variables
  • Evaluate the following
  • If a 4, b 2, c 3

32
Variables
  • Evaluate the following
  • If a 4, b 2, c 3

1)
2)
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