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Writing Algebraic Expressions

- Lesson 2-3

Word phrases can be written as algebraic

expressions.

- Use the words to determine what operation you are

using. - Use a variable for the phrase a number.

Adding Phrases

- Plus
- More than
- Sum
- Increased by

Subtracting Phrases

- Minus
- Difference
- Subtracted from
- Decreased by
- Less than

Multiplying Phrases

- Times
- Product of

Dividing Phrases

- Quotient
- Divided by

Example 7 decreased by b

Decreased by means subtract.

7 - b

Example The product of 19 and k

Product means multiply. We show multiplication

by placing the factor right next to the variable.

19k

Less than, more than

- Some word phrases contain the words less than

or more than. - When you see those words, start with the second

part of the phrase.

Example 23 less than m

m - 23

Example 32 less than 5 times c

The 32 is less than the 5 times c, which means we

subtract 32 from the 5 times c. So, start with 5

times c.

5c - 32

Tables

- When you are given a table of values, determine

how to get from the first column to the second

column. - Describe that pattern with an algebraic

expression.

Example

n

?

3

12

7

28

11

44

Compare from left to right.

- How do we get from 3 to 12? Add 9 or multiply by

4. - How do we get from 7 to 28? Multiply by 4.
- If we multiply 11 by 4, we get 44.

The pattern is to multiply our number, n, by 4.

The algebraic expression to describe this is 4n

Describing Unknown Numbers

- When you dont know what a number is, let a

variable stand for that number. - Use an algebraic expression to describe what

youre looking for.

Example

Write an algebraic expression to describe Jerrys

age. Use the following information Jerry is 4

years younger than his brother Steve.

First, we have to know how old Steve is. We do

not have an age for Steve, so we will use a

variable Let s Steves age.

Now that we have determined Steves age (s), we

can use it to determine Jerrys age. Jerry is 4

years younger than Steve.

s - 4

If Steve is 22 years old, then how old is Jerry?

s - 4

Jerry is 18 years old.

22 - 4

18

Homework Time

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