Math Problem Statement
Find the value of the given expression if x = 3 and y = -3. |x - 5y|
Solution
The expression you're asked to evaluate is , where and .
To find the value, substitute and into the expression:
Simplify inside the absolute value:
Since the absolute value of 18 is 18, the value of the expression is:
Would you like any further clarification on this? Here are some related questions to deepen your understanding:
- What is the definition of absolute value and how does it affect negative numbers?
- How would you evaluate if and ?
- What are some common mistakes when simplifying expressions with absolute value?
- Can you simplify with specific values for and ?
- How can you graph absolute value functions like ?
Tip: Remember, the absolute value of any number represents its distance from zero on the number line, so the result is always non-negative.
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Math Problem Analysis
Mathematical Concepts
Absolute Value
Substitution
Basic Algebra
Formulas
|x - 5y|
Theorems
Absolute value function
Suitable Grade Level
Grades 6-8