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]$2 / x$[/tex]
D) [tex]$2-x$[/tex]
Answer (1)
Represent the unknown number with the variable x .
Translate "the product of 2 and a number" to 2 ∗ x .
Simplify the expression to 2 x .
Choose the correct option: 2 x .
Explanation
Understanding the Problem Let's break down the problem. We need to translate the phrase "the product of 2 and a number" into a mathematical expression. This means we're looking for an expression that shows 2 multiplied by some unknown number.
Translating to Math Let's use the variable x to represent the unknown number. The word "product" means multiplication. So, "the product of 2 and a number" translates to 2 multiplied by x , which we write as 2 x .
Finding the Correct Option Now, let's compare our expression, 2 x , with the given options: A) 2 + x (This represents the sum of 2 and x )
B) 2 x (This represents the product of 2 and x )
C) 2/ x (This represents 2 divided by x )
D) 2 − x (This represents the difference between 2 and x )
The correct option is B, as it matches our derived expression.
Final Answer Therefore, the mathematical expression for "the product of 2 and a number" is 2 x .
Examples
In real life, this type of expression is used all the time. For example, if you are buying multiple items that cost the same amount, the total cost is the product of the number of items and the cost per item. If each candy bar costs 2 an d yo u b u y x$ candy bars, the total cost is 2 x .
