Math Problem Statement

Which algebraic expression is equivalent to this expression?

3(2x − 8) – 11x

A. -17x – 8

B. -5x – 8

C. -17x – 24

D. -5x – 24

Solution

To simplify the expression 3(2x8)11x3(2x - 8) - 11x, follow these steps:

  1. Distribute the 3: 3×2x3×8=6x243 \times 2x - 3 \times 8 = 6x - 24

  2. Subtract 11x from the result: 6x2411x6x - 24 - 11x

  3. Combine like terms (6x11x6x - 11x): 5x24-5x - 24

So, the simplified expression is 5x24-5x - 24.

The correct answer is:

D. -5x - 24

Would you like details or have any questions about this?

Here are some related questions:

  1. How do you distribute a number across terms in parentheses?
  2. What are like terms in an algebraic expression?
  3. How do you simplify algebraic expressions with multiple variables?
  4. What steps are involved in solving linear equations?
  5. Can you explain how to factor algebraic expressions?

Tip: Always check your final expression by substituting a simple value for the variable to verify your result.

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Math Problem Analysis

Mathematical Concepts

Algebra
Distributive Property
Combining Like Terms

Formulas

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Theorems

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Suitable Grade Level

Grades 7-9