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AlgebraHardInput that gives a target output

Algebra practice question

The linear function f has slope −3 and f(2) = 11. For what value of x is f(x) = −4?

Answer: 7

f(x) = 11 − 3(x − 2). Setting 11 − 3(x − 2) = −4 gives 3(x − 2) = 15, so x = 7.

Common wrong answers

If you answered 3
3 comes from a sign error, 11 − 3(x − 2) = 4.
If you answered 5
5 is x − 2, not x.
If you answered -3
−3 is the slope.

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