Math Problem Statement

Evaluate the expression 4 - 3x - 8 when x = -2.

Solution

The problem asks to evaluate the expression 43x84 - 3x - 8 when x=2x = -2.

We can solve this step by step:

  1. Substitute x=2x = -2 into the expression: 43(2)84 - 3(-2) - 8

  2. Simplify the multiplication: 4+684 + 6 - 8

  3. Now, combine the terms: (4+6)8=108=2(4 + 6) - 8 = 10 - 8 = 2

So, the value of the expression when x=2x = -2 is 2. The correct answer is option c: 2.

Would you like more details or have any questions?

Here are 5 related questions to deepen your understanding:

  1. How would the result change if x=3x = 3 in the same expression?
  2. What happens to the expression if you swap the signs in front of xx?
  3. Can you factor the expression 43x84 - 3x - 8 before substituting values?
  4. How would the value change if the expression was 43x+84 - 3x + 8?
  5. How can you solve this expression using function notation?

Tip: Always handle the sign carefully when substituting negative values into expressions.

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Math Problem Analysis

Mathematical Concepts

Algebra
Substitution
Simplification

Formulas

Basic linear expression simplification

Theorems

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Suitable Grade Level

Grades 6-8