algebra 1 notes: lesson 1-1: variables and expressions
TRANSCRIPT
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Algebra 1 Notes:
Lesson 1-1:Variables and Expressions
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Today’s 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 1Write an algebraic expression for
each verbal expression:
a. eight more than a number n
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Example 1Write an algebraic expression for
each verbal expression:
a. eight more than a number n
8
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Example 1Write an algebraic expression for
each verbal expression:
a. eight more than a number n
8
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Example 1Write an algebraic expression for
each verbal expression:
a. eight more than a number n
8 +
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Example 1Write an algebraic expression for
each verbal expression:
a. eight more than a number n
8 +
![Page 10: Algebra 1 Notes: Lesson 1-1: Variables and Expressions](https://reader036.vdocument.in/reader036/viewer/2022081421/56649ede5503460f94beea85/html5/thumbnails/10.jpg)
Example 1Write an algebraic expression for
each verbal expression:
a. eight more than a number n
8 + n
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Example 1Write an algebraic expression for
each verbal expression:
a. eight more than a number n
8 + n
8 + n
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Example 1Write an algebraic expression for
each verbal expression:
b. one third of the size of the original area a
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Example 1Write an algebraic expression for
each verbal expression:
b. one third of the size of the original area a
3
1
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Example 1Write an algebraic expression for
each verbal expression:
b. one third of the size of the original area a
3
1
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Example 1Write an algebraic expression for
each verbal expression:
b. one third of the size of the original area a
×3
1
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Example 1Write an algebraic expression for
each verbal expression:
b. one third of the size of the original area a
×3
1
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Example 1Write an algebraic expression for
each verbal expression:
b. one third of the size of the original area a
× a3
1
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Example 1Write an algebraic expression for
each verbal expression:
b. one third of the size of the original area a
a3
1
a3
1
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Vocabulary
- Power - bn
- Base - b
- Exponent - n
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42
base exponent
Powers
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Vocabulary- Evaluate – Find the value
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Example 2
Evaluate the following powers:
a) 34
b) 82
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Example 2
Evaluate the following powers:
a) 34 = 3 · 3 · 3 · 3
b) 82
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Example 2
Evaluate the following powers:
a) 34 = 3 · 3 · 3 · 3 = 81
b) 82
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Example 2
Evaluate the following powers:
a) 34 = 3 · 3 · 3 · 3 = 81
b) 82 = 8 · 8
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Example 2
Evaluate the following powers:
a) 34 = 3 · 3 · 3 · 3 = 81
b) 82 = 8 · 8 = 64
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Example 3
Write a verbal expression for each algebraic expression.
Written to Verbal
a) 4m3
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Example 3
Write a verbal expression for each algebraic expression.
a) 4m3 (look for an operation first)
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Example 3
Write a verbal expression for each algebraic expression.
a) 4m3 (look for an operation first)
the product of
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Example 3
Write a verbal expression for each algebraic expression.
a) 4m3 (look for an operation first)
the product of
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Example 3
Write a verbal expression for each algebraic expression.
a) 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.
a) 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.
a) 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.
a) 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
![Page 42: Algebra 1 Notes: Lesson 1-1: Variables and Expressions](https://reader036.vdocument.in/reader036/viewer/2022081421/56649ede5503460f94beea85/html5/thumbnails/42.jpg)
Assignment: Pg. 8: 12-40 Evens