How to transform question in to sentence equation

To transform a word problem (question) into a sentence equation, follow these steps:

### 1. **Identify Key Quantities and Variables:**
   - Look for numbers, quantities, or relationships described in the problem.
   - Assign variables (e.g., \( x \), \( y \)) to unknown quantities.

### 2. **Translate Words to Mathematical Operations:**
   - **Addition:** "sum," "more than," "increased by," etc., translate to \( + \).
   - **Subtraction:** "difference," "less than," "decreased by," etc., translate to \( - \).
   - **Multiplication:** "times," "product of," etc., translate to \( \times \) or simply \( \cdot \).
   - **Division:** "divided by," "quotient," etc., translate to \( \div \) or \( / \).

### 3. **Convert Relational Words into Equations:**
   - **Equals:** Words like "is," "equals," "results in," etc., translate to \( = \).
   - **Inequality:** "Greater than," "less than," etc., translate to \( > \), \( < \), \( \geq \), \( \leq \).

### 4. **Set Up the Equation:**
   - Organize the identified variables, operations, and relationships into a structured equation.

### 5. **Check for Contextual Logic:**
   - Ensure the equation reflects the real-world scenario or question correctly.

### Example Problem: 
*"Five more than twice a number is fifteen."*

**Step-by-Step Translation:**
1. Identify the unknown: Let the number be \( x \).
2. Translate the operations:
   - "Twice a number" becomes \( 2x \).
   - "Five more than" adds \( 5 \) to the expression, so \( 2x + 5 \).
3. Translate "is fifteen" into \( = 15 \).

**Final Sentence Equation:**
\[ 2x + 5 = 15 \]

Would you like further details or have any questions? Here are five related problems you can explore:

1. How would you write an equation for "The product of a number and 4 is 20"?
2. How do you translate “3 less than a number equals 7” into an equation?
3. How would you express "The quotient of a number and 6 equals 3"?
4. How do you represent "The sum of three times a number and 2 equals 11" as an equation?
5. Can you form an equation for "The difference between a number and 10 is 2"?

**Tip:** When translating word problems, always focus on the mathematical meaning of words like "more," "less," "product," and "sum."

Learn how to transform word problems into mathematical sentence equations with our step-by-step guide. Understand key concepts like identifying variables, translating words to mathematical operations, and setting up equations correctly. Suitable for students in Grades 7-9.

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