writing algebraic expressions lesson 2-3. word phrases can be written as algebraic expressions. use...
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Writing Algebraic Expressions
Lesson 2-3
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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.”
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Adding Phrases
Plus More than Sum Increased by
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Subtracting Phrases
Minus Difference Subtracted from Decreased by Less than
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Multiplying Phrases
Times Product of
Dividing Phrases Quotient Divided by
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Example: 7 decreased by b
“Decreased by” means subtract.
7 - b
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Example: The product of 19 and k
“Product” means multiply. We show multiplication by placing the factor right next to the variable.
19k
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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
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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
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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.
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Example
n ?3 127 2811 44
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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
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Describing Unknown Numbers
When you don’t know what a number is, let a variable stand for that number.
Use an algebraic expression to describe what you’re looking for.
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Example
Write an algebraic expression to describe Jerry’s 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 = Steve’s age.
Now that we have determined Steve’s age (s), we can use it to determine Jerry’s age. Jerry is 4 years younger than Steve.
s - 4
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If Steve is 22 years old, then how old is Jerry?
s - 422 - 418
Jerry is 18 years old.
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Classwork
ALGEBRAIC EXPRESSIONS MILLIONAIREThis Algebraic Expressions Millionaire Game can be played online alone or in two teams. For each question you have to identify the correct mathematical expression that models a given word expression.
Homework Time: p 76, 1-33 Odd