Translate the following statement into an algebraic equation. Let x represents the number. 6...

Question:

Translate the following statement into an algebraic equation.

Let {eq}x {/eq} represents the number. {eq}6 {/eq} times a number is {eq}14 {/eq} more than that number.

Algebraic equation:

Algebraic equations are algebraic expressions that are equal. In order to write an algebraic equation, it is useful to first write an algebraic expression for each part of the equation, then set them equal.

Answer and Explanation:

As given in the problem, let {eq}x {/eq} represent the number. Breaking apart the sentence we have

"6 times a number" {eq}\implies ~ 6x {/eq}

"14 more than that number" {eq}\implies ~ x+14 {/eq}

"6 times a number is 14 more than that number" {eq}\implies ~ 6x = x+14 {/eq}


Learn more about this topic:

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Translating Words to Algebraic Expressions

from Algebra I: High School

Chapter 8 / Lesson 17
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