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Variable expressions

Write variable expressions

One of the major skills required in applied mathematics is the ability to translate a verbal expression into a variable expression. This requires recognizing the verbal phrases that translate into mathematical operations.

Here is a partial list of the phrases used to indicate the different mathematical operations.

 Addition added to more than the sum of increased by the total of plus 4 added to x 3 more than y the sum of x and y m increased by 5 the total of 5 and a h plus 6 x+4 y+3 x+y m+5 a+5 h+6 Subtraction minus less than less subtracted from decreased by the difference between a minus 3 4 less than z 4 less z 3 subtracted from x x decreaded by 2 the difference between y and 2 a-3 z-4 4-z x-3 x-2 y-2 Multiplication times the product of multiplied by twice of 7 times x the product of a and b m multiplied by 5 twice x one half of y 7x ab 5m 2x Division divided by the quotient of the ratio of a divided by 5 the quotient of a and b the ratio of x and 6 Power the square of the cube of the square of m the cube of x m2 x3

Translate into a variable expresion:
A. the total of four times a and b
B. the quotient of seven less than x and 9
C. five more than the sum of six and the square of x

Solution:
A. 4(a+b)    B.    C. (6+x2)+5