Math Problem Statement

Which expression represents the following sequence of operations on a number x? Add 11 to x then multiply the answer by 4.

A. 4(x + 11)

B. 11x + 4

C. (4)(11) + x

D. 11 + 4x

Solution

The expression that represents adding 11 to xx and then multiplying the result by 4 is:

A. 4(x+11)4(x + 11)

Explanation:

  1. Start with xx.
  2. Add 11 to xx, giving x+11x + 11.
  3. Multiply the result by 4, which results in 4(x+11)4(x + 11).

This matches option A.

Would you like a further breakdown or have any questions?


Here are some additional related questions for practice:

  1. What is the expression for subtracting 5 from xx and then dividing the result by 3?
  2. How would you represent doubling a number yy and then subtracting 10?
  3. If you add 8 to xx and square the result, what would be the expression?
  4. How can you write an expression for multiplying xx by 7 and then adding 2?
  5. What is the expression for dividing xx by 2 and then adding 9?

Tip: When translating sequences of operations into algebraic expressions, follow the order of operations closely.

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Math Problem Analysis

Mathematical Concepts

Algebra
Expressions
Order of Operations

Formulas

4(x + 11)

Theorems

Order of Operations (PEMDAS)

Suitable Grade Level

Grades 6-8