Translate the following phrase into an algebraic expression. Please use the variable x.
Nineteen more than three times a number
Answer (2)
Represent "a number" as x .
Express "three times a number" as 3 x .
Express "nineteen more than three times a number" as 3 x + 19 .
The algebraic expression is 3 x + 19 .
Explanation
Understanding the Problem We need to translate the phrase "Nineteen more than three times a number" into an algebraic expression using the variable x.
Breaking Down the Phrase Let's break down the phrase:
"a number" can be represented as x .
"three times a number" can be written as 3 × x , which simplifies to 3 x .
"nineteen more than three times a number" means we add 19 to 3 x , resulting in 3 x + 19 .
Forming the Expression Therefore, the algebraic expression for "Nineteen more than three times a number" is 3 x + 19 .
Examples
Algebraic expressions are used in various real-life scenarios. For instance, if you are saving money and you start with $19 and save $3 every day, the total amount you have saved after x days can be represented by the expression $3x + 19. This expression helps you calculate your total savings for any number of days. Similarly, if a taxi service charges a flat fee of $19 plus $3 per mile, the total cost of a ride can be calculated using the same expression.
The translation of the phrase "Nineteen more than three times a number" into an algebraic expression using the variable x is 3 x + 19 . This expression includes three times the number x plus an additional 19. It helps to represent scenarios that involve a base value plus an additional quantity.
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