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Comparing Functions Worksheet

Grade 8 Math · printable worksheet (PDF) with answer key · 13 problems · CCSS 8.F.A.2, 8.F.A.3

A printable grade 8 comparing functions practice worksheet with 13 problems and a complete, step-by-step answer key — formatted to print cleanly on standard paper. Included in the one-time $20 unlock for the full NudgeLearn library.

Sample problems

Functions can be given by a table, an equation, or a description in words. For a linear function $y = m x + b$ , $m$ is the rate of change and $b$ is the initial value (the output when the input is $0$ ). Compare these features across representations, and tell whether each function is linear or nonlinear.

1. Find the rate of change and initial value of the linear function $y = 5 x + 2$ .
2. Find the rate of change and initial value of the linear function shown in the table. $x 0123 y 371115$
3. Is the function in this table linear or nonlinear? Explain. $x 1234 y 14916$
4. Which function has the greater rate of change? Function A: $y = 3 x + 5$ . Function B: $y = 7 x - 1$ .

Plus 9 more problems and a full answer key in the PDF.

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