Translating Words into Algebraic Expressions. Operation. Word Expression
Algebraic Expression. Addition. Add, Added to, the sum of, more than, increased
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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
