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Grade 8 Algebra: Comparing Functions

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Level 1

Greater rate of change

  1. 1. Which has the greater rate of change:
    A:y=3x+1B:x012y246\begin{array}{ll} \textbf{A:} & y = 3x + 1 \\[14pt] \textbf{B:} & \begin{array}{c|ccc} x & 0 & 1 & 2 \\ \hline y & 2 & 4 & 6 \end{array} \end{array}
  2. 2. Which has the greater rate of change:
    A:y=2x+5B:x012y159\begin{array}{ll} \textbf{A:} & y = 2x + 5 \\[14pt] \textbf{B:} & \begin{array}{c|ccc} x & 0 & 1 & 2 \\ \hline y & 1 & 5 & 9 \end{array} \end{array}
  3. 3. Which has the greater rate of change:
    A:y=−x+4B:x012y024\begin{array}{ll} \textbf{A:} & y = -x + 4 \\[14pt] \textbf{B:} & \begin{array}{c|ccc} x & 0 & 1 & 2 \\ \hline y & 0 & 2 & 4 \end{array} \end{array}
  4. 4. Which has the greater rate of change:
    A:y=5xB:x024y31323\begin{array}{ll} \textbf{A:} & y = 5x \\[14pt] \textbf{B:} & \begin{array}{c|ccc} x & 0 & 2 & 4 \\ \hline y & 3 & 13 & 23 \end{array} \end{array}
  5. 5. Which has the greater rate of change:
    A:y=x+6B:x123y369\begin{array}{ll} \textbf{A:} & y = x + 6 \\[14pt] \textbf{B:} & \begin{array}{c|ccc} x & 1 & 2 & 3 \\ \hline y & 3 & 6 & 9 \end{array} \end{array}
  6. 6. Which has the greater rate of change:
    A:y=4x−2B:x012y71013\begin{array}{ll} \textbf{A:} & y = 4x - 2 \\[14pt] \textbf{B:} & \begin{array}{c|ccc} x & 0 & 1 & 2 \\ \hline y & 7 & 10 & 13 \end{array} \end{array}
  7. 7. Which has the greater rate of change:
    A:y=12xB:x048y012\begin{array}{ll} \textbf{A:} & y = \tfrac{1}{2}x \\[14pt] \textbf{B:} & \begin{array}{c|ccc} x & 0 & 4 & 8 \\ \hline y & 0 & 1 & 2 \end{array} \end{array}
  8. 8. Which has the greater rate of change:
    A:y=6x+1B:x234y81420\begin{array}{ll} \textbf{A:} & y = 6x + 1 \\[14pt] \textbf{B:} & \begin{array}{c|ccc} x & 2 & 3 & 4 \\ \hline y & 8 & 14 & 20 \end{array} \end{array}