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Linear Functions from Tables: Classroom Packet

Grade 8 Algebra: Linear Functions from Tables

Name: ______________________Date: ____________Score: ____ / 8

Level 1

Tables starting at x = 0

  1. 1. Write an equation for the table:
    x0123y1357\begin{array}{c|cccc} x & 0 & 1 & 2 & 3 \\ \hline y & 1 & 3 & 5 & 7 \end{array}
  2. 2. Write an equation for the table:
    x0123y0369\begin{array}{c|cccc} x & 0 & 1 & 2 & 3 \\ \hline y & 0 & 3 & 6 & 9 \end{array}
  3. 3. Write an equation for the table:
    x0123y4567\begin{array}{c|cccc} x & 0 & 1 & 2 & 3 \\ \hline y & 4 & 5 & 6 & 7 \end{array}
  4. 4. Write an equation for the table:
    x0123y−23813\begin{array}{c|cccc} x & 0 & 1 & 2 & 3 \\ \hline y & -2 & 3 & 8 & 13 \end{array}
  5. 5. Write an equation for the table:
    x0123y371115\begin{array}{c|cccc} x & 0 & 1 & 2 & 3 \\ \hline y & 3 & 7 & 11 & 15 \end{array}
  6. 6. Write an equation for the table:
    x0123y6543\begin{array}{c|cccc} x & 0 & 1 & 2 & 3 \\ \hline y & 6 & 5 & 4 & 3 \end{array}
  7. 7. Write an equation for the table:
    x0123y531−1\begin{array}{c|cccc} x & 0 & 1 & 2 & 3 \\ \hline y & 5 & 3 & 1 & -1 \end{array}
  8. 8. Write an equation for the table:
    x0123y0102030\begin{array}{c|cccc} x & 0 & 1 & 2 & 3 \\ \hline y & 0 & 10 & 20 & 30 \end{array}

Answer Key

Level 1

  1. 1. y=2x+1y = 2x + 1
  2. 2. y=3xy = 3x
  3. 3. y=x+4y = x + 4
  4. 4. y=5x−2y = 5x - 2
  5. 5. y=4x+3y = 4x + 3
  6. 6. y=−x+6y = -x + 6
  7. 7. y=−2x+5y = -2x + 5
  8. 8. y=10xy = 10x

Grade 8 Algebra: Linear Functions from Tables

Name: ______________________Date: ____________Score: ____ / 8

Level 2

Tables with other starting values

  1. 1. Write an equation for the table:
    x1234y57911\begin{array}{c|cccc} x & 1 & 2 & 3 & 4 \\ \hline y & 5 & 7 & 9 & 11 \end{array}
  2. 2. Write an equation for the table:
    x2468y5111723\begin{array}{c|cccc} x & 2 & 4 & 6 & 8 \\ \hline y & 5 & 11 & 17 & 23 \end{array}
  3. 3. Write an equation for the table:
    x−1012y52−1−4\begin{array}{c|cccc} x & -1 & 0 & 1 & 2 \\ \hline y & 5 & 2 & -1 & -4 \end{array}
  4. 4. Write an equation for the table:
    x1357y−22610\begin{array}{c|cccc} x & 1 & 3 & 5 & 7 \\ \hline y & -2 & 2 & 6 & 10 \end{array}
  5. 5. Write an equation for the table:
    x0246y1234\begin{array}{c|cccc} x & 0 & 2 & 4 & 6 \\ \hline y & 1 & 2 & 3 & 4 \end{array}
  6. 6. Write an equation for the table:
    x−2024y20−2−4\begin{array}{c|cccc} x & -2 & 0 & 2 & 4 \\ \hline y & 2 & 0 & -2 & -4 \end{array}
  7. 7. Write an equation for the table:
    x36912y3456\begin{array}{c|cccc} x & 3 & 6 & 9 & 12 \\ \hline y & 3 & 4 & 5 & 6 \end{array}
  8. 8. Write an equation for the table:
    x1234y62−2−6\begin{array}{c|cccc} x & 1 & 2 & 3 & 4 \\ \hline y & 6 & 2 & -2 & -6 \end{array}

Answer Key

Level 2

  1. 1. y=2x+3y = 2x + 3
  2. 2. y=3x−1y = 3x - 1
  3. 3. y=−3x+2y = -3x + 2
  4. 4. y=2x−4y = 2x - 4
  5. 5. y=12x+1y = \tfrac{1}{2}x + 1
  6. 6. y=−xy = -x
  7. 7. y=13x+2y = \tfrac{1}{3}x + 2
  8. 8. y=−4x+10y = -4x + 10

Grade 8 Algebra: Linear Functions from Tables

Name: ______________________Date: ____________Score: ____ / 8

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}

Answer Key

Level 3

  1. 1. y=23x+1y = \tfrac{2}{3}x + 1
  2. 2. No (not a constant rate)\text{No (not a constant rate)}
  3. 3. y=−32x+4y = -\tfrac{3}{2}x + 4
  4. 4. No (not a constant rate)\text{No (not a constant rate)}
  5. 5. y=25x−3y = \tfrac{2}{5}x - 3
  6. 6. y=32x−1y = \tfrac{3}{2}x - 1
  7. 7. No (not a constant rate)\text{No (not a constant rate)}
  8. 8. y=−2x+9y = -2x + 9