Translate the sentence into an equation.
Three more than the quotient of a number and 4 is 6 .
Use the variable w for the unknown number.

The sentence "Three more than the quotient of a number and 4 is 6" can be translated into the following equation:

\[
\frac{w}{4} + 3 = 6
\]

Here, \( w \) is the unknown number.

Would you like further details or have any questions? 

Here are 5 related questions:
1. How do you solve for \( w \) in the equation \( \frac{w}{4} + 3 = 6 \)?
2. What does "quotient" mean in mathematical terms?
3. If the phrase was "five more than the quotient of a number and 4 is 10," how would the equation change?
4. How can you check if the solution to \( w \) is correct after solving the equation?
5. What if the quotient was instead divided by 3? How would the equation change?

**Tip:** When translating sentences into equations, key terms like "quotient," "sum," "difference," or "product" give clues about which operations to use.

Translate the sentence into an equation. Three more than the quotient of a number and 4 is 6. Use the variable w for the unknown number.

Learn how to translate sentences into algebraic equations. This example shows how to convert 'Three more than the quotient of a number and 4 is 6' into the equation w / 4 + 3 = 6. Ideal for students in Grades 6-8 learning basic algebra concepts.

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