Translating Verbal Equations Worksheet

📆 Updated: 1 Jan 1970
👥 Author: Elizabeth Wilson
🔖 Category: Other
💭 Comments

Are you struggling to translate verbal equations into mathematical expressions? Look no further! This blog post is designed to help students or individuals who are looking to improve their skills in transforming verbal problems into mathematical equations. Whether you are a high school student preparing for a test or an adult seeking to brush up on your math skills, this worksheet will guide you through various examples and provide step-by-step explanations to help you master this essential concept.

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What is a verbal equation?

A verbal equation is a mathematical statement or a problem described in words rather than mathematical symbols. It is a way of representing a mathematical relationship using language instead of mathematical notation, making it easier to understand the problem before translating it into an algebraic equation.

How can verbal expressions be translated into mathematical equations?

Verbal expressions can be translated into mathematical equations by identifying key words or phrases that represent mathematical operations or relationships. For example, "sum" or "total" often indicate addition, "difference" or "less than" indicate subtraction, "product" or "times" indicate multiplication, and "quotient" or "divided by" indicate division. Once these key words are identified, they can be translated into corresponding mathematical symbols and variables to create an equation that accurately represents the given verbal expression.

How do you translate the phrase "three times a number" into a mathematical equation?

The mathematical translation for the phrase "three times a number" is 3x, where x represents the unknown number that is being multiplied by three.

How can the phrase "the sum of a number and 5" be translated into a mathematical equation?

The mathematical equation for the phrase "the sum of a number and 5" is simply written as x + 5, where x represents the unknown number.

What does the phrase "twice the difference between a number and 4" translate to in a mathematical equation?

The mathematical equation that represents the phrase "twice the difference between a number and 4" is 2(x - 4), where x represents the unknown number.

How do you translate the statement "a number decreased by 7" into a mathematical equation?

The mathematical equation to represent the statement "a number decreased by 7" is: x - 7, where x represents the original number. This equation shows that you are taking a number (x) and subtracting 7 from it to show the decrease in value.

What is the mathematical expression for "the product of a number and 9"?

The mathematical expression for "the product of a number and 9" is simply written as 9n, where n represents the given number that is being multiplied by 9.

How can the phrase "a number divided by 3" be expressed as a mathematical equation?

The phrase "a number divided by 3" can be expressed as a mathematical equation as follows: x/3, where x represents the number to be divided by 3.

What does the statement "the quotient of a number and 2 increased by 10" translate to in a mathematical equation?

The statement "the quotient of a number and 2 increased by 10" can be translated into the mathematical equation (x/2) + 10, where x represents the unknown number.

How do you express "the square of a number decreased by twice the number" in a mathematical equation?

The mathematical equation to express "the square of a number decreased by twice the number" is \(x^2 - 2x\), where \(x\) represents the number.

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