Question

Translate the following phrases into algebraic expressions. Explain, in complete sentences, the difference between the two.
•twice the sum of x and y
•the sum of twice x and y

Answer 1

Twice the sum of X and Y;
2(x+y)
It asks that you find an expression that finds the sum of two numbers, and then multiplies that sum by two.

The Sum of twice X and Y;
either 2x + y
or 2x + 2y
It doesn't explicitly state whether it wants you to add the sum of double x and single y, or double x and double y. There is an ambiguity in the phrase.

Answer 2

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