Math Problem Statement

Max is thinking of a number, which he calls n. He adds 8 and then doubles the sum. Write an expression to represent Max’s number.

Solution

To write an expression that represents Max's number based on the instructions, let's break down the steps:

  1. Max has a number nn.
  2. He adds 8 to this number, which gives n+8n + 8.
  3. He then doubles the sum, meaning we multiply this result by 2.

So, the expression to represent Max's number is:

2×(n+8)2 \times (n + 8)

Or, equivalently:

2(n+8)2(n + 8)

This expression captures the operations described in the problem.

Would you like further details or have any questions?

Here are some related questions for further practice:

  1. What would the expression look like if Max tripled the sum instead of doubling it?
  2. How would the expression change if Max subtracted 8 instead of adding it, before doubling?
  3. If Max had added 10 instead of 8, what would the expression be?
  4. What is the result if n=5n = 5 in the expression 2(n+8)2(n + 8)?
  5. How would you express the process if Max first doubled nn and then added 8?

Tip: Remember to always perform operations inside parentheses first when they are present in an expression.

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Math Problem Analysis

Mathematical Concepts

Algebra
Writing Expressions
Order of Operations

Formulas

2(n + 8)

Theorems

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Suitable Grade Level

Grade 6