Expressions with Absolute-Value Symbols
Evaluate and simplify expressions containing absolute-value symbols in Grade 9 Algebra. Apply the definition that |x| equals x when x ≥ 0 and -x when x < 0.
Key Concepts
Property To simplify expressions with absolute value symbols, first perform the operations inside the symbols. Then, take the absolute value of the result. For example, $|a b|$ requires finding the value of $a b$ first, then making the result positive.
Examples $25 |10 15| = 25 | 5| = 25 5 = 20$ $3 \cdot |2 9| + 1 = 3 \cdot | 7| + 1 = 3 \cdot 7 + 1 = 21 + 1 = 22$.
Explanation Absolute value bars are like a positivity machine! No matter what happens inside—addition, subtraction, or just a single negative number—the final value that comes out must be positive. It measures distance from zero, which can't be negative!
Common Questions
What is Expressions with Absolute-Value Symbols in Grade 9 Algebra?
This skill covers Expressions with Absolute-Value Symbols in Grade 9 Algebra. Mastering this concept builds a foundation for advanced algebra topics.
How do you approach Expressions with Absolute-Value Symbols problems step by step?
Practice Expressions with Absolute-Value Symbols with step-by-step examples. Use this method consistently to avoid common errors.
What is a common mistake when studying Expressions with Absolute-Value Symbols?
Mastering Expressions with Absolute-Value Symbols builds a strong algebra foundation. Always check your work by substituting back into the original problem.