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Grade 8 Algebra: Linear Functions from Tables

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Level 3

Fractions and nonlinear tables

  1. 1. Is this a linear function? If yes, write its equation:
    x0369y1357\begin{array}{c|cccc} x & 0 & 3 & 6 & 9 \\ \hline y & 1 & 3 & 5 & 7 \end{array}
  2. 2. Is this a linear function? If yes, write its equation:
    x0123y1248\begin{array}{c|cccc} x & 0 & 1 & 2 & 3 \\ \hline y & 1 & 2 & 4 & 8 \end{array}
  3. 3. Is this a linear function? If yes, write its equation:
    x−2024y741−2\begin{array}{c|cccc} x & -2 & 0 & 2 & 4 \\ \hline y & 7 & 4 & 1 & -2 \end{array}
  4. 4. Is this a linear function? If yes, write its equation:
    x1234y14916\begin{array}{c|cccc} x & 1 & 2 & 3 & 4 \\ \hline y & 1 & 4 & 9 & 16 \end{array}
  5. 5. Is this a linear function? If yes, write its equation:
    x5101520y−1135\begin{array}{c|cccc} x & 5 & 10 & 15 & 20 \\ \hline y & -1 & 1 & 3 & 5 \end{array}
  6. 6. Is this a linear function? If yes, write its equation:
    x−4−202y−7−4−12\begin{array}{c|cccc} x & -4 & -2 & 0 & 2 \\ \hline y & -7 & -4 & -1 & 2 \end{array}
  7. 7. Is this a linear function? If yes, write its equation:
    x0123y5568\begin{array}{c|cccc} x & 0 & 1 & 2 & 3 \\ \hline y & 5 & 5 & 6 & 8 \end{array}
  8. 8. Is this a linear function? If yes, write its equation:
    x14710y71−5−11\begin{array}{c|cccc} x & 1 & 4 & 7 & 10 \\ \hline y & 7 & 1 & -5 & -11 \end{array}