TRANSLATING KEY WORDS AND PHRASES INTO ALGEBRAIC EXPRESSIONS
[Pages:1]TRANSLATING KEY WORDS AND PHRASES INTO ALGEBRAIC EXPRESSIONS
The table below lists some key words and phrases that are used to describe common mathematical operations. To write algebraic expressions and equations, assign a variable to represent the unknown number. In the table below, the letter "x" is used to represent the unknown. In translation problems, the words sum, total, difference, product and quotient imply at least two parts ? use parentheses when a sum or difference is multiplied. For example, the phrase "the sum of three times a number and five" translates to "3x + 5," while the phrase "three times the sum of a number and five" translates to "3(x + 5)."
OPERATION
KEY WORD/PHRASE EXAMPLE
TRANSLATION
Addition ( + )
plus
more than
the sum of
the total of
increased by
added to
Subtraction ( - )
minus
less than
the difference of
less
decreased by
subtracted from
Multiplication ( x ) times
the product of
twice; double
multiplied by
of
Division ( ? )
the quotient of
divided by
Powers ( xn )
the ratio of
the square of; squared
A number plus three Ten more than a number The sum of a number and five The total of six and some number A number increased by two Eleven added to a number A number minus seven Four less than a number The difference of a number and three Nine less a number A number decreased by twelve Six subtracted from a number Eight times a number The product of fourteen and a number Twice a number; double a number A number multiplied by negative six
Three fourths of a number
The quotient of a number and seven
Ten divided by a number
The ratio of a number to fifteen
The square of a number; a number squared
x + 3 x + 10 x + 5 6 + x x + 2 x + 11 X ? 7 X ? 4 X ? 3 9 ? X X ? 12 X ? 6
8x 14x 2x -6x
3 x
4 x 7 10 x x 15
x2
the cube of; cubed The cube of a number; a number cubed
x3
Equals ( = )
equals is is the same as yields amounts to
Seven less than a number equals ten. Three times a number is negative six. Eight is the same as twice a number. Twelve added to a number yields five. Nine less a number amounts to twenty.
x - 7 = 10 3x = -6 8 = 2x
x + 12 = 5 9 ? x = 20
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