Write the phrase "the product of 2 and a number" as a mathematical expression.
A) [tex]$2 x$[/tex]
B) [tex]$2+x$[/tex]
C) [tex]$2 \frac{1}{x}$[/tex]
D) [tex]$2-x$[/tex]
Answer (1)
The problem requires translating the phrase "the product of 2 and a number" into a mathematical expression.
Let the number be x .
"The product of 2 and a number" translates to 2 × x .
Simplify the expression to 2 x .
The correct option is 2 x .
Explanation
Understanding the Problem The problem asks us to translate the phrase "the product of 2 and a number" into a mathematical expression. We need to identify which of the given options correctly represents this phrase.
Translating the Phrase Let's represent the unknown number with the variable x . The term "product" indicates multiplication. Therefore, "the product of 2 and a number" can be written as 2 × x , which is commonly written as 2 x .
Comparing with Options Now we compare our expression 2 x with the given options:
A) 2 x - This matches our expression. B) 2 + x - This represents the sum of 2 and a number. C) 2 x 1 - This represents 2 times the reciprocal of a number. D) 2 − x - This represents the difference between 2 and a number.
Final Answer The correct expression for "the product of 2 and a number" is 2 x . Therefore, the correct option is A.
Examples
In real life, if you are buying multiple items of the same price, the total cost is the product of the price per item and the number of items. For example, if each candy bar costs 2 an d yo u b u y x$ candy bars, the total cost is 2 x . This expression helps you calculate the total cost quickly and easily.
