### Translating Sentences to Multi-Step Equations#### Topic: Linear Equations**Task:** Translating a Sentence into a Multi-Step Equation**Instructions**: Translate the following sentence into an equation:**Sentence:** Two less than the product of 3 and a number is equal to 9.**Step-by-Step Translation**:1. **Identify the unknown variable**: Use the variable $ c $ for the unknown number.2. **Break down the sentence**: - The product of 3 and a number: $ 3c $. - Two less than this product: $ 3c - 2 $. - This equals 9: $ 3c - 2 = 9 $.Therefore, the translated equation is: \[ 3c - 2 = 9 \]**Input Field**:- There is a rectangular input box for entering the equation. **Tools Available**: - Arithmetic operators and symbols: - Addition $ + $ - Subtraction $ - $ - Multiplication $ \times $ - Division $ \div $**Buttons at the Bottom**: - A 'Check' button to confirm if the provided equation is correct.- Undo and redo buttons to manage input mistakes.- A help button represented by a question mark $ ? $ for additional guidance.Enter the equation $ 3c - 2 = 9 $ in the input box and press 'Check' to verify your answer.

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Translate the sentence into an equation. Two less than the product of 3 and a number is equal to 9. Use the variable c for the unknown number.

Algebra and Trigonometry (6th Edition)

6th Edition

ISBN:9780134463216

Author:Robert F. Blitzer

Publisher:Robert F. Blitzer

ChapterP: Prerequisites: Fundamental Concepts Of Algebra

Section: Chapter Questions

Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...

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Concept explainers

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.

Question

### Translating Sentences to Multi-Step Equations

#### Topic: Linear Equations

**Task:** Translating a Sentence into a Multi-Step Equation

**Instructions**:

Translate the following sentence into an equation:

**Sentence:** Two less than the product of 3 and a number is equal to 9.

**Step-by-Step Translation**:

1. **Identify the unknown variable**: Use the variable $ c $ for the unknown number.
2. **Break down the sentence**:
- The product of 3 and a number: $ 3c $.
- Two less than this product: $ 3c - 2 $.
- This equals 9: $ 3c - 2 = 9 $.

Therefore, the translated equation is:

\[ 3c - 2 = 9 \]

**Input Field**:

- There is a rectangular input box for entering the equation.

**Tools Available**:

- Arithmetic operators and symbols:
- Addition $ + $
- Subtraction $ - $
- Multiplication $ \times $
- Division $ \div $

**Buttons at the Bottom**:

- A 'Check' button to confirm if the provided equation is correct.
- Undo and redo buttons to manage input mistakes.
- A help button represented by a question mark $ ? $ for additional guidance.

Enter the equation $ 3c - 2 = 9 $ in the input box and press 'Check' to verify your answer.

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