AlgebraHardZero of a linear function from slope and intercept
Algebra practice question
The linear function f has a slope of −2, and f(0) = 8. For what value of x is f(x) = 0?
Answer: 4
f(x) = −2x + 8. Set −2x + 8 = 0: 2x = 8, x = 4.
Common wrong answers
- If you answered 8
- 8 is f(0), the y-intercept, not the zero.
- If you answered 16
- 16 is 8 × 2, multiplying by the slope's size instead of dividing.
- If you answered -4
- −4 has the wrong sign: −2x = −8 gives x = 4.
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