Math Problem Statement

Gia is thinking of a number, which she calls n. She adds 4 to the number and then doubles the sum.

Solution

In this problem, Gia is thinking of a number nn. She adds 4 to this number and then doubles the result.

Here’s how to break down the steps:

  1. Start with the number nn.
  2. Add 4 to the number: n+4n + 4.
  3. Double the sum, which means multiplying the result by 2: 2×(n+4)2 \times (n + 4).

So, the algebraic expression that represents this situation is: 2×(n+4)2 \times (n + 4)

Would you like a further explanation or more details on any part of this process?

Here are 5 relative questions:

  1. What would happen if Gia added a different number instead of 4, like 5?
  2. How would the expression change if Gia tripled the result instead of doubling it?
  3. What is the expanded form of the expression 2×(n+4)2 \times (n + 4)?
  4. How can you check the value of the expression if n=3n = 3?
  5. What does this expression look like on a graph?

Tip: Always use parentheses when applying operations to more than one term, like when you add and then multiply the sum.

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Math Problem Analysis

Mathematical Concepts

Algebra
Algebraic Expressions

Formulas

n + 4
2 × (n + 4)

Theorems

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Suitable Grade Level

Grades 5-7