🔵 Absolute Value Basics
Find ∣−9∣
9
Solve: ∣x+2∣=4
x=2 or x=−6
AI says ∣−6∣=−6. Is AI correct?
No. ∣−6∣=6
A UAE weather display shows a temperature 5°C away from 0°C. What are the two possible temperatures?
−50C and 50C
Solve |x| = 9.
-9 or 9
Solve: ∣x−5∣=3
x=8 or x=2
AI says ∣x∣=4 has only one solution: x=4. Find the error.
AI missed x=−4. Both 4 and −4 are solutions.
On a fictional Dubai Metro map, a station is at kilometre 10. Find the two kilometre markers exactly 3 km away.
7 km and 13 km
Solve |x| = 0.
0
Solve: ∣2x∣=10
x=5 or x=−5
AI says ∣x+1∣=−3 has two solutions. Is this possible?
No solution. Absolute value cannot be negative.
A UAE school has 100 decorative lights. The number changes by exactly 20. Find both possible totals.
80 or 120 lights
Solve |x − 4| = 0.
4
Solve: ∣3x+1∣=7
x=2 or x=−8/3
AI solves ∣x−2∣=6 and gets x=8 only. What is missing?
The second solution: x=−4
During UAE National Day, a playlist contains 300 songs. The number changes by exactly 40 songs. Write and solve an absolute value equation.
∣x−300∣=40; x=260 or 340
How many solutions does |x| = −8 have? Explain.
No solution; absolute value cannot be negative.
Solve: 2∣x−1∣+3=11
x=5 or x=−3
AI solves 2∣x+3∣=8 by writing x+3=8 or x+3=−8. Identify the error and solve correctly.
Divide by 2 first: ∣x+3∣=4, so x=1 or x=−7
At a UAE school exhibition, the planned number of lights is 500. The actual number differs by exactly 75. Write and solve an absolute value equation.
∣x−500∣=75; x=425 or 575