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Advanced Math / Nonlinear equations in one variable and systems of equations in two variables Difficulty: Easy

x - 2 = 9

What is one possible solution to the given equation?

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Explanation

The correct answer is 11 or -7 . By the definition of absolute value, if x-2=9, then x-2=9 or x-2=-9. Adding 2 to both sides of the equation x-2=9 yields x=11. Adding 2 to both sides of the equation x-2=-9 yields x=-7. Thus, the given equation, x-2=9, has two possible solutions, 11 and -7 . Note that 11 and -7 are examples of ways to enter a correct answer.