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

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