The expression \( |3a - c| \) represents the absolute value of \( 3a - c \), meaning it evaluates the distance between \( 3a \) and \( c \) on the number line, regardless of whether \( 3a - c \) is positive or negative.

### If you'd like to expand or simplify this, you'd need to:

1. Substitute specific values for \( a \) and \( c \), if given.
2. Follow absolute value rules:
   - If \( 3a - c \geq 0 \), then \( |3a - c| = 3a - c \).
   - If \( 3a - c < 0 \), then \( |3a - c| = -(3a - c) = c - 3a \).

Would you like a detailed explanation or an example with values?

---

Here are 5 related questions:
1. What is the geometric interpretation of absolute values on a number line?
2. How do you solve an equation involving absolute values, like \( |3a - c| = 5 \)?
3. Can absolute value inequalities be solved algebraically? 
4. What happens when you combine absolute values with quadratic functions?
5. How does the sign of a variable affect absolute value expressions?

**Tip:** When working with absolute values, always consider the conditions where the expression inside is either positive or negative.

Explore the absolute value expression |3a - c|, including how to evaluate and simplify absolute values in algebra. Learn the key concepts of absolute value, formulas, and conditions for positive and negative cases, suitable for Grades 8-10.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation