algebra 1 notes: lesson 1-1: variables and expressions
TRANSCRIPT
Algebra 1 Notes:
Lesson 1-1:Variables and Expressions
Today’s Objectives
• Write mathematical expressions
5x + 45
• Write verbal expressions
Five times a number increased by 45
Algebraic Expressions
5x
3x - 7
m 5n
3ab 5cd
Key Word Worksheet
Example 1Write an algebraic expression for
each verbal expression:
a. eight more than a number n
Example 1Write an algebraic expression for
each verbal expression:
a. eight more than a number n
8
Example 1Write an algebraic expression for
each verbal expression:
a. eight more than a number n
8
Example 1Write an algebraic expression for
each verbal expression:
a. eight more than a number n
8 +
Example 1Write an algebraic expression for
each verbal expression:
a. eight more than a number n
8 +
Example 1Write an algebraic expression for
each verbal expression:
a. eight more than a number n
8 + n
Example 1Write an algebraic expression for
each verbal expression:
a. eight more than a number n
8 + n
8 + n
Example 1Write an algebraic expression for
each verbal expression:
b. one third of the size of the original area a
Example 1Write an algebraic expression for
each verbal expression:
b. one third of the size of the original area a
3
1
Example 1Write an algebraic expression for
each verbal expression:
b. one third of the size of the original area a
3
1
Example 1Write an algebraic expression for
each verbal expression:
b. one third of the size of the original area a
×3
1
Example 1Write an algebraic expression for
each verbal expression:
b. one third of the size of the original area a
×3
1
Example 1Write an algebraic expression for
each verbal expression:
b. one third of the size of the original area a
× a3
1
Example 1Write an algebraic expression for
each verbal expression:
b. one third of the size of the original area a
a3
1
a3
1
Vocabulary
- Power - bn
- Base - b
- Exponent - n
42
base exponent
Powers
Vocabulary- Evaluate – Find the value
Example 2
Evaluate the following powers:
a) 34
b) 82
Example 2
Evaluate the following powers:
a) 34 = 3 · 3 · 3 · 3
b) 82
Example 2
Evaluate the following powers:
a) 34 = 3 · 3 · 3 · 3 = 81
b) 82
Example 2
Evaluate the following powers:
a) 34 = 3 · 3 · 3 · 3 = 81
b) 82 = 8 · 8
Example 2
Evaluate the following powers:
a) 34 = 3 · 3 · 3 · 3 = 81
b) 82 = 8 · 8 = 64
Example 3
Write a verbal expression for each algebraic expression.
Written to Verbal
a) 4m3
Example 3
Write a verbal expression for each algebraic expression.
a) 4m3 (look for an operation first)
Example 3
Write a verbal expression for each algebraic expression.
a) 4m3 (look for an operation first)
the product of
Example 3
Write a verbal expression for each algebraic expression.
a) 4m3 (look for an operation first)
the product of
Example 3
Write a verbal expression for each algebraic expression.
a) 4m3 (look for an operation first)
the product of 4 and
Example 3
Write a verbal expression for each algebraic expression.
a) 4m3 (look for an operation first)
the product of 4 and
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
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
Example 3
Write a verbal expression for each algebraic expression.
b) c2 + 21d
Example 3
Write a verbal expression for each algebraic expression.
b) c2 + 21d
the sum of
Example 3
Write a verbal expression for each algebraic expression.
b) c2 + 21d
the sum of
Example 3
Write a verbal expression for each algebraic expression.
b) c2 + 21d
the sum of c squared and
Example 3
Write a verbal expression for each algebraic expression.
b) c2 + 21d
the sum of c squared and
Example 3
Write a verbal expression for each algebraic expression.
b) c2 + 21d
the sum of c squared and 21 times d
Example 3
Write a verbal expression for each algebraic expression.
b) c2 + 21d
the sum of c squared and 21 times d
Assignment: Pg. 8: 12-40 Evens