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```					   Objective - To translate variable expressions.
                                      
plus         minus       times      quotient
sum        difference   product
increased by decreased by …of...
total    diminished by twice  2 
less
more than    less than
Backwards Words
Add 3 and 7 = 3 + 7
The sum of 3 and 7 = 3 + 7
3 increased by 7 = 3 + 7
The total of 3 and 7 = 3 + 7

3 more than 7 = 7 + 3
3 added to 7 = 7 + 3
Backwards Words
7 subtract 3 = 7 - 3
The difference of 7 and 3 = 7 - 3
7 decreased by 3 = 7 - 3
7 diminished by 3 = 7 - 3
7 less 3 = 7 - 3

7 less than 3 = 3 - 7
7 subtracted from 3 = 3 - 7
Translate the following phrases.
1) Five plus x minus 3
5+x-3
2) Three times y less 4
3y  4
3) Eight multiplied by y minus 7
8y - 7
4) The product of 10 and m decreased by 7
10m - 7
5) Four more than the quotient of x and 3
x 4
x  3  4 or
3
6) Six times m plus 8
6m + 8
Match each phrase with its variable expression.
d 1) Twice the sum of x and 3       a) 2x  3
b) 3(x  2)
e 2) Two less than the product
of 3 and x                  c) 3x  2
b 3) Three times the difference    d) 2(x  3)
of x and 2                   e) 3x  2
a 4) Twice a number x less 3

c 5) Two more than 3 times a
number x
Translate the following phrases.
1) 5 less than a number x
x-5
2) 5 less a number x
5-x
3) 5 less twice a number x
5 - 2x
4) 2 more than the difference of x and 5
(x - 5) + 2
5) Twice the difference of x and 5
2(x - 5)
6) Twice the sum of x and 5
2(x + 5)
Write a phrase that describes each variable
expression below.
1) 4  x  5  2
Four times the sum of x and 5 minus 2

2) 7  2  x  3
Seven minus twice the quotient of x and 3

3) m  9  4
The quotient of m and 9 minus 4
Define a variable to represent the unknown and
write the phrase as a variable expression.
1) 10 mph faster than the Honda
Let x = the speed of the Honda
x + 10
2) 7 inches shorter than Jill’s brother
Let b = the height of Jill’s brother
b-7
3) 5 acres larger than twice the size of my lot
Let k = the size of my lot
2k + 5
4) \$7.50 times the number of people plus a
\$20 group registration
Let y = the number of people
\$7.5y + \$20
Problem Situation #1
A cab driver charges a surcharge of \$4 plus
\$1.50 per mile. Write a variable expression
that represents the total cost of the fare.

Let x = # of miles driven
4 + 1.5x
Problem Situation #2
ATI Phone Services charges a monthly fee of
\$16 plus 18 cents a minute for local calls and
40 cents a minute for long distance. Write a
variable expression that describes the total
monthly bill.
Let a = # of local minutes
Let b = # of long distance minutes
16 + 0.18a + 0.40b

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 views: 10 posted: 5/14/2011 language: English pages: 10