AlgebraVery hardMissing table value from non-adjacent rows
Algebra practice question
The table gives three values of the linear function f. x | f(x) 1 | 7 4 | ? 10 | 34 What is the missing value f(4)?
Answer: 16
Slope = (34 − 7)/(10 − 1) = 3. Then f(4) = 7 + 3(4 − 1) = 16.
Common wrong answers
- If you answered 10
- 10 adds the slope once instead of three times.
- If you answered 19
- 19 comes from adding 12 (3 × 4) to 7, using x = 4 instead of the change in x.
- If you answered 20.5
- 20.5 is the average of 7 and 34, which would be right only if 4 were midway between 1 and 10.
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