Translate verbal expressions into variable expressions
WORDS OR PHRASES FOR ADDITION
added to
6 added to y
y + 6
more than
8 more than x
x +
8
the sum of
the sum of x and z
X +
z
increased by
/ increased by 9
* + 9
the total of
the total of 5 and cl
5 +
plus
b plus 17
6+17
WORD
</
PHRASES FOR SUBTRACTION
x minus 2
x -
2
7 less than t
t -
1
less
1 less /
7 -
/
subtracted from
5 subtracted from d
d
5
decreased by
in decreased by 3
m
the difference between
the difference between r and 4
v -
minus
[less tharTj?
-
WORDS OR PHRASES FOR MULTIPLICATION
times
10 times /
0/
1
of
one-half ofx
the pro duct of
the p ro duc t of y and z
multiplied by
b multiplied by 11
1 1/)
twice
twice //
2n
2*
yz
PHRASES FOR DIVISION
divided by
x divided by 12
x
12
the quotient of
the quotient ofy and z
the ratio of
the ratio of/ to 9
y
t
9
3
4
PHRASES FOR POWER
the square of
the square ofx
x2
the cube of
the cube of a
a3
Exercise 1: Translate the following into a variable expression.
1. u less than twenty
J} 0 — OL-
2. The sum of x and 3
a ~f ' i
3. a decreased by 10
C\,"IU
4. z multiplied by 3.
^- • ^ ~ ^ C »
5.
3 times the difference between a and 4
6.
The sum.of
J(a-Mj
7. 6 divided by the difference between z and 10
8. The product of 4 and the total of x and 5
4/W 5
9. Six less than the product ofs and negative three
10. The total of 3 times the cube ofp,and the square ofp,
^.'X^ — £?
h ^Tn
-4 f->
Exercise 2: Translate the following into a variable expression. Then simplify, if
necessary.
1.
r~~
The sum of the square of a number£na)three times the number.
-A.I
~h- •
n^-f 2>w
2.
l
A number increasedbxthe total of the
number(and twenty
3.
A number(added tp.Jhe^product-oisixand the number
"
'
'v
4.
Ten (riore thamthe sum of a number and two
—
an, -\2o
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1
Yi 10 •=> avjSfAfaHC* ^'^ '
X
-i
(j^ 4tke-k 3=*&
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