Words that means a grouping symbol
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Transcript Words that means a grouping symbol
3.4 Expressions and Equations
Goal:
To translate phrases to algebraic
expressions (emphasizing grouping
symbols)
To solve problems by writing and
solving equations
Technique
Underline key phrases and write
what they mean underneath
Then put it all together
Key Words:
What words mean addition?
What words mean subtraction?
What words mean multiplication?
What words mean division?
Review:
Write an expression that means:
5 more than a number “n”
n+5
Review:
Write an expression that means:
9 less than a number “n”
9n
n 9
5 times the sum of a number and 5
5(n + 5)
Words that means a grouping symbol:
“the sum of”
“the difference of”
“the quantity”
“the product of”
“the quotient of”
n
5
5
5 times the quotient of a number and 5
5 times the quantity 3 less than a number.
5(n – 3)
Remember: with less
than we write the
expression
backwards…
NOT left to right.
14 less than the product of 3 and a #
(3n) - 14
Remember: with less
than we write the
expression
backwards…
NOT left to right.
4 times the quantity 3 greater
than a number
4(n + 3)
One-half the difference of a
number and 1
1
n 1
2
Two fewer than the product of 10
and a number
10n 2
The quarterback completed 8 more than half
of the passes he attempted. Let p = the
number of passes attempted. Write an
expression for the number of passes
completed.
Completed = 8 more than half of “p”
1
p8
2
Word Problems
Read the problem a few times
Underline key phrases and translate the english into
math
Write down what you know
Identify what you are trying to find
Translate into an equation
Solve
Check
c
21 = 2
Arthur is two years younger than Chan.
Arthur is 21. How old is Chan?
Let c = the age of Chan.
21 = c - 2
23 = c
The number of salted peanuts in a nut
=
mix is 13 times the number of
cashews. There are 52 salted peanuts.
How many cashews are there?
Let c = number of cashews
52 = 13 • c
4=c
Nora divided 315 cans equally among
26 cartons and had 3 cans left over.
How many cans were in each carton?
Let x = cans per carton
(cans per carton)(# cartons) = total cans
+ 3
26x + 3 = 315
The final exam had three times as many
points as the first test, plus a bonus question
worth 25 points. The final exam was worth
160 points (including the bonus). How many
points was the first test worth?
Let x = points on first test
Final = 3 times first test plus bonus
160 = 3x + 25
At Max's Restaurant the cost of a child's
dinner is $3.00 less than the cost of an adult
dinner. You bought four children's dinners
and paid $18.00. Find the cost of an adult
dinner. “x”
Child dinner = x - 3
4 • Child dinner = $18
4(x – 3) = 18
Assignment:
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