Math

QuestionTranslate "4 times the sum of 2 and a number" into an expression using xx or yy.

Studdy Solution

STEP 1

Assumptions1. We are asked to translate the phrase into an algebraic expression. . The phrase is "4 times the sum of and a number".
3. We can use the variable names "x" or "y" to represent the unknown number.

STEP 2

The phrase "4 times the sum of2 and a number" can be translated into an algebraic expression by following the order of operations in mathematics, which is parentheses, exponents, multiplication and division (from left to right), addition and subtraction (from left to right). This is often abbreviated as PEMAS.

STEP 3

First, identify the operation and the numbers involved. The operation is " times" and the numbers involved are "2" and "a number". The "a number" is the unknown, which we can represent with the variable "x".

STEP 4

Next, translate "the sum of2 and a number" into an algebraic expression. The word "sum" indicates addition, so this part of the phrase can be written as "2 + x".

STEP 5

Finally, translate "4 times the sum of2 and a number" into an algebraic expression. The word "times" indicates multiplication, so this part of the phrase can be written as "4 * (2 + x)".
So, the algebraic expression for the phrase "4 times the sum of2 and a number" is4(2+x)4 * (2 + x)

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