Math Problem Statement
Evaluate the expression -2(x + 8) - x^2 when x = -4.
Solution
The expression provided in the image seems to be:
We need to evaluate it when . Let's compute this step by step:
- Substitute into the expression:
- Simplify inside the parentheses:
- Compute the terms:
- Now subtract:
Thus, the expression evaluates to when .
Would you like further details on any part of this solution?
Here are some related questions:
- How do you simplify expressions involving negative numbers?
- What are the rules for squaring negative numbers?
- How do parentheses affect operations in algebraic expressions?
- What are common mistakes when simplifying algebraic expressions?
- Can you generalize the steps for solving this type of problem?
Tip: When substituting negative values, be careful with signs, especially with powers and parentheses.
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Math Problem Analysis
Mathematical Concepts
Algebra
Substitution
Quadratic Expressions
Formulas
Substitution: Replace variable x with a given value.
Exponentiation: x^2 represents x raised to the power of 2.
Theorems
Order of Operations: Parentheses, Exponents, Multiplication/Division, Addition/Subtraction (PEMDAS)
Suitable Grade Level
Grades 7-9