Test questions on evaluating absolute value expressions

📚 Quick Study Guide

• 📏 The absolute value of a number is its distance from zero on the number line.
• ➕ Absolute value is always non-negative.
• ✏️ For any real number $x$, the absolute value is defined as: $|x| = \begin{cases} x, & \text{if } x \geq 0 \\ -x, & \text{if } x < 0 \end{cases}$
• 💡 To evaluate an absolute value expression, first simplify the expression inside the absolute value bars.
• ➗ Remember to follow the order of operations (PEMDAS/BODMAS).

🤔 Practice Quiz

1. What is the value of $|-7|$?
   1. -7
   2. 0
   3. 7
   4. 14
2. Evaluate the expression $|-3 + 5|$.
   1. -8
   2. -2
   3. 2
   4. 8
3. What is the value of $|-4| + |2|$?
   1. -6
   2. -2
   3. 2
   4. 6
4. Evaluate the expression $5 - |-2|$?
   1. -7
   2. -3
   3. 3
   4. 7
5. Simplify the expression $|-6 - (-4)|$.
   1. -10
   2. -2
   3. 2
   4. 10
6. What is the value of $|3 \times -2|$?
   1. -6
   2. -5
   3. 5
   4. 6
7. Evaluate the expression $|-12 \div 3|$.
   1. -4
   2. 0
   3. 4
   4. 36