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Translating Sentences into Equations

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Questions and Answers

What is the first step in translating a sentence into an equation?

Write down the equation without analysis

Select the correct operation to use

Determine the solution to the equation

Identify the key variables involved (correct)

Which of the following sentences translates to the equation $x + 7 = 12$?

A number decreased by seven equals twelve.

Twelve added to a number equals seven.

The sum of a number and twelve is seven.

Seven more than a number is twelve. (correct)

When translating 'The product of a number and three is twenty-one', what mistake might one commonly make?

Writing it as $x + 3 = 21$ (correct)

Setting it equal to zero

Interpreting 'product' as 'sum'

Using the wrong variable for the number

Which key aspect must be considered when translating a detailed sentence into a mathematical equation?

<p>Ensuring all operations are correctly identified</p> Signup and view all the answers

What common error occurs when a student translates 'The difference between a number and five is ten'?

<p>Translating it to $5 - x = 10$</p> Signup and view all the answers

Study Notes

Translating Sentences to Equations

Identify the unknown: Look for an unknown value, usually represented by a variable like 'x'.
Analyze the Relationship: Determine the relationship between the values, such as addition, subtraction, multiplication, or division.
Equation Structure: Build the equation by representing the relationship between the known and unknown values.

Sentence to Equation Example

The correct equation: $x + 7 = 12$ represents the sentence "Seven more than a number is twelve".

Common Mistakes in Translation

Product of a number and three is twenty-one: A common mistake is to write the equation as $3x = 21$ instead of the correct $x \cdot 3 = 21$.
Difference between a number and five is ten: A frequent error is writing $5 - x = 10$ instead of the correct $x - 5 = 10$.

Key Aspect for Translating Detailed Sentences

Order of Operations: Carefully consider the order of operations presented in the sentence to ensure the equation accurately reflects the intended meaning.

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Description

This quiz explores the process of translating verbal sentences into mathematical equations. Answer questions regarding common mistakes and key aspects to consider during translation. Perfect for students learning the fundamentals of algebra.