Algebra 1 Notes: Lesson 1-1: Variables and Expressions

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Algebra 1 Notes Lesson 1-1Variables and
Expressions
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Todays Objectives

• Write mathematical expressions
• 5x 45
• Write verbal expressions
• Five times a number increased by 45

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Algebraic Expressions
5x 3x - 7 m ? 5n 3ab ? 5cd
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• Key Word Worksheet

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Example 1

• Write an algebraic expression for each verbal
  expression
• eight more than a number n

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Example 1

• Write an algebraic expression for each verbal
  expression
• eight more than a number n
• 8

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Example 1

• Write an algebraic expression for each verbal
  expression
• eight more than a number n
• 8

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Example 1

• Write an algebraic expression for each verbal
  expression
• eight more than a number n
• 8

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Example 1

• Write an algebraic expression for each verbal
  expression
• eight more than a number n
• 8

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Example 1

• Write an algebraic expression for each verbal
  expression
• eight more than a number n
• 8 n

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Example 1

• Write an algebraic expression for each verbal
  expression
• eight more than a number n
• 8 n
• 8 n

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Example 1
Write an algebraic expression for each verbal
expression b. one third of the size of the
original area a
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Example 1
Write an algebraic expression for each verbal
expression b. one third of the size of the
original area a
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Example 1
Write an algebraic expression for each verbal
expression b. one third of the size of the
original area a
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Example 1
Write an algebraic expression for each verbal
expression b. one third of the size of the
original area a
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Example 1
Write an algebraic expression for each verbal
expression b. one third of the size of the
original area a
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Example 1
Write an algebraic expression for each verbal
expression b. one third of the size of the
original area a a
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Example 1
Write an algebraic expression for each verbal
expression b. one third of the size of the
original area a ? a
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• Vocabulary
• Power - bn
• Base - b
• Exponent - n

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Powers
42 base exponent
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• Vocabulary
• Evaluate Find the value

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• Example 2
• Evaluate the following powers
• 34
• 82

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• Example 2
• Evaluate the following powers
• 34 3 3 3 3
• 82

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• Example 2
• Evaluate the following powers
• 34 3 3 3 3 81
• 82

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• Example 2
• Evaluate the following powers
• 34 3 3 3 3 81
• 82 8 8

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• Example 2
• Evaluate the following powers
• 34 3 3 3 3 81
• 82 8 8 64

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• Example 3
• Write a verbal expression for each algebraic
  expression.
• Written to Verbal
• 4m3

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• Example 3
• Write a verbal expression for each algebraic
  expression.
• 4m3 (look for an operation first)

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• Example 3
• Write a verbal expression for each algebraic
  expression.
• 4m3 (look for an operation first)
• the product of

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• Example 3
• Write a verbal expression for each algebraic
  expression.
• 4m3 (look for an operation first)
• the product of

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• Example 3
• Write a verbal expression for each algebraic
  expression.
• 4m3 (look for an operation first)
• the product of 4 and

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• Example 3
• Write a verbal expression for each algebraic
  expression.
• 4m3 (look for an operation first)
• the product of 4 and

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• Example 3
• Write a verbal expression for each algebraic
  expression.
• 4m3 (look for an operation first)
• the product of 4 and m to the third power

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• Example 3
• Write a verbal expression for each algebraic
  expression.
• 4m3 (look for an operation first)
• the product of 4 and m to the third power
• OR the product of 4 and m cubed

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Example 3 Write a verbal expression for each
algebraic expression. b) c2 21d
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Example 3 Write a verbal expression for each
algebraic expression. b) c2 21d the sum of
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Example 3 Write a verbal expression for each
algebraic expression. b) c2 21d the sum of
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Example 3 Write a verbal expression for each
algebraic expression. b) c2 21d the sum of c
squared and
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Example 3 Write a verbal expression for each
algebraic expression. b) c2 21d the sum of c
squared and
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Example 3 Write a verbal expression for each
algebraic expression. b) c2 21d the sum of c
squared and 21 times d
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Example 3 Write a verbal expression for each
algebraic expression. b) c2 21d the sum of c
squared and 21 times d
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Assignment Pg. 8 12-40 Evens