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Writing Expressions
We need to translate words in
mathematical symbols. Here are some
words you should know.Operation Verbal Phrase Expression
Addition: sum, plus, total, more than, increased by.
The sum of 2 and a number x
2+x
A number n plus 7 n+7
Subtraction: difference, less than, minus, decreased by.
The difference of a number n and 6
n-6
A number y minus 5 y-5
Multiplication: times, product, multiplied by, of.
12 times a number y
12y
1/3 of a number x 1/3(x)
Division: Quotient, divided by, divided into.
The quotient of a number k and 2
k/2
Translate these verbal phrases into
expressions…• 4 Less than the quantity 6 times a
number n.
• 3 times the sum of 7 and a number y.
• The difference of 22 and the square of a number m.
• The quotient when the quantity 10 plus a number x is divided by 2
Let’s try it with a word problem…
• A piece of ribbon L feet long is cut from a ribbon 8 feet long. Write an expression for the length (in feet) of the remaining piece.
Let’s try another…
• You work with 5 other people at an ice cream stand. All the worker put their tips into a jar and share the amount in the jar equally a the end of the day. Write an expression for each person’s share (in dollars) for the tips.
Let’s Talk About Rate
Here’s some vocab…
• Rate• Is a fraction that compares 2 quantities
measured in different units.
• Unit Rate• When the denominator of the fraction is
1 unit.
Here’s an example of a problem involving
rate…
€
110mi
2hrs=110 ÷ 2
2 ÷ 2=55mi
1hr
A car travels 110 miles in 2 hours. Find the unit rate.
The unit rate is 55 miles per hour, or 55mi/h, or 55mph
Here’s one for you to try…
• Your basic monthly charge for cell phone service is $30, which includes 300 free minutes. You pay a fee for each extra minute you use. One month you paid $3.75 for 15 extra minutes. Find your total bill if you use 22 extra minutes.