Download Translating Words into Algebra

Translating Words into Algebraic Expressions
Operation
Addition
Subtraction
Multiplication
Word Expression
Add, Added to, the sum of, more
than, increased by, the total of,
plus
Add x to y
y added to 7
The sum of a and b
m more than n
p increased by 10
The total of q and 10
9 plus m
Subtract, subtract from,
difference, between, less, less
than, decreased by, diminished
by, take away, reduced by,
exceeds, minus
Subtract x from y
From x, subtract y
The difference between x and 7
10 less m
10 less than m
p decreased by 11
8 diminished by w
y take away z
p reduced by 6
x exceeds y
r minus s
Multiply, times, the product of,
multiplied by, times as much, of
7 times y
The product of x and y
5 multiplied by y
one-fifth of p
Divide, divides, divided by, the
quotient of, the ratio of, equal
amounts of, per
Division
Divide x by 6
7 divides x
7 divided by x
Algebraic Expression
+
x+y
7+ y
a+b
n+m
p + 10
q + 10
9+m
y-x
x-y
x -7
10 - m
m - 10
p - 11
8-w
y-z
p-6
x-y
r-s
×
7y
xy
5y
1
p
5
÷
x
or x ÷ 6
6
x
or x ÷ 7
7
7
or 7 ÷ x
x
y
or y ÷ 5
5
u
or u ÷ v
v
u
or u ÷ 4
4
5
100
y2
k3
t4
The quotient of y and 5
The ratio of u to v
Division
u separated into 4 equal parts
(continued)
5 parts per 100 parts
Power
Equals
Multiplication by
2
Multiplication by
½
The square of y
The cube of k
t raised to the fourth power
Is equal to, the same as, is, are,
the result of, will be, are, yields
=
x is equal to y
p is the same as q
Two, two times, twice, twice as
much as, double
x=y
p=q
2
Twice z
y doubled
Half of, one-half of, half as
much as, one-half times
2z
2y
1
2
u
2
1
m
2
Half of u
one-half times m
Geometry Problems
Concept
Area of a square
Perimeter of a square
Area of a rectangle
Perimeter of a rectangle
Angles of a Triangle
Word Expression
Algebraic Expression
Side Squared
Four times the side
Length times width
Two lengths plus two widths
The sum of the angles is 180o
A = s2
P = 4s
A=LxW
P = 2L + 2W
∠A + ∠B + ∠C = 180
Word Problem Relationships
Consecutive Integer
Motion
Mixture
% Mixture
Digits
Three consecutive integers
Three consecutive odd (even)
integers
Rate times Time equals
Distance
Price times Quantity equals
Total Value
% Strength times Quantity
equals Total Amount
A two digit number
x, x + 1, x+ 2
x, x + 2, x + 4
RxT=D
PxQ=T
PxQ=T
10t + u