Algebraic Expressions Lesson.notebook
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Algebraic Expressions Foldable
Algebraic Expressions Notes
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September 06, 2016
Writing Algebraic Expressions
Mathematical Practices
Attend to precision
Look for and express regularity in repeated reasoning
Review key words for the different operations
Drag word to correct operation
ADDITION
plus
sum
increased by
more than
MULTIPLICATION
multiplied by
times
product
SUBTRACTION
decreased by
minus
difference
less than
DIVISION
quotient
divided by Tips to remember:
• Letters in algebra are called variables because their values
can vary.
• When multiplying a number and a variable, the number is
written first. For example: x times 5 is 5x not x5.
• Don't use subtraction in the wrong order!
For example:
"the difference of 5 and t" and "5 decreased by t"
are translated as 5 - t
while "5 less than t" and "5 subtracted from t"
are translated as t - 5.
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Algebraic Expressions Lesson.notebook
Word Phrases
9 more than a number
the sum of 9 and a number
a number plus 9
a number increased by 9
the total of x and 9
4 subtracted from a number
a number minus 4
4 less than a number
a number decreased by 4
the difference of h and 4
September 06, 2016
Algebraic Expression
Would these all be written the same?
x + 9
When you see the phrase "the quantity of", you need to use parentheses.
Examples:
h ­ 4
6 multiplied by g
6 times a number
the product of g and 6
6g
a number divided by 5
the quotient of t and 5
divide a number by 5
t 5
Sometimes you will not see the phrase "the quantity of" but you still need to use parentheses to follow the order of operations.
Ex: Seven times the sum of a number and 10.
1. 5 times the quantity of the sum of a number and 3
2. The quantity of 7 less than a number times two. Write an algebraic expression for each word phrase.
Word Phrase
five plus a number d
the product of five and g
You Try: The difference of a number and 12, times 5. eleven fewer than a number f
seventeen less than h
the quotient of twenty and t
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Algebraic Expressions Lesson.notebook
September 06, 2016
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