16Hit1600
Advanced MathVery hardAbsolute value equation with two cases

Advanced Math practice question

What is the sum of all values of x that satisfy |2x − 6| = 10?

Answer: 6

Case 1: 2x − 6 = 10, x = 8. Case 2: 2x − 6 = −10, x = −2. Sum: 8 + (−2) = 6.

Common wrong answers

If you answered 8
8 is the solution from the positive case only.
If you answered 10
10 subtracts instead of adds: 8 − (−2).
If you answered -2
−2 is the solution from the negative case only.

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