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Slope from Tables: Classroom Packet

Grade 8 Algebra: Slope from Tables

Name: ______________________Date: ____________Score: ____ / 8

Level 1

Positive rates

  1. 1. Find the rate of change:
    x0123y1357\begin{array}{c|cccc} x & 0 & 1 & 2 & 3 \\ \hline y & 1 & 3 & 5 & 7 \end{array}
  2. 2. Find the rate of change:
    x0123y04812\begin{array}{c|cccc} x & 0 & 1 & 2 & 3 \\ \hline y & 0 & 4 & 8 & 12 \end{array}
  3. 3. Find the rate of change:
    x0123y5678\begin{array}{c|cccc} x & 0 & 1 & 2 & 3 \\ \hline y & 5 & 6 & 7 & 8 \end{array}
  4. 4. Find the rate of change:
    x0123y25811\begin{array}{c|cccc} x & 0 & 1 & 2 & 3 \\ \hline y & 2 & 5 & 8 & 11 \end{array}
  5. 5. Find the rate of change:
    x1234y10152025\begin{array}{c|cccc} x & 1 & 2 & 3 & 4 \\ \hline y & 10 & 15 & 20 & 25 \end{array}
  6. 6. Find the rate of change:
    x0123y791113\begin{array}{c|cccc} x & 0 & 1 & 2 & 3 \\ \hline y & 7 & 9 & 11 & 13 \end{array}
  7. 7. Find the rate of change:
    x2468y481216\begin{array}{c|cccc} x & 2 & 4 & 6 & 8 \\ \hline y & 4 & 8 & 12 & 16 \end{array}
  8. 8. Find the rate of change:
    x1234y36912\begin{array}{c|cccc} x & 1 & 2 & 3 & 4 \\ \hline y & 3 & 6 & 9 & 12 \end{array}

Answer Key

Level 1

  1. 1. 22
  2. 2. 44
  3. 3. 11
  4. 4. 33
  5. 5. 55
  6. 6. 22
  7. 7. 22
  8. 8. 33

Grade 8 Algebra: Slope from Tables

Name: ______________________Date: ____________Score: ____ / 8

Level 2

Negative and fractional rates

  1. 1. Find the rate of change:
    x0123y10864\begin{array}{c|cccc} x & 0 & 1 & 2 & 3 \\ \hline y & 10 & 8 & 6 & 4 \end{array}
  2. 2. Find the rate of change:
    x0123y9630\begin{array}{c|cccc} x & 0 & 1 & 2 & 3 \\ \hline y & 9 & 6 & 3 & 0 \end{array}
  3. 3. Find the rate of change:
    x0246y1234\begin{array}{c|cccc} x & 0 & 2 & 4 & 6 \\ \hline y & 1 & 2 & 3 & 4 \end{array}
  4. 4. Find the rate of change:
    x04812y0369\begin{array}{c|cccc} x & 0 & 4 & 8 & 12 \\ \hline y & 0 & 3 & 6 & 9 \end{array}
  5. 5. Find the rate of change:
    x−2−101y531−1\begin{array}{c|cccc} x & -2 & -1 & 0 & 1 \\ \hline y & 5 & 3 & 1 & -1 \end{array}
  6. 6. Find the rate of change:
    x0369y8642\begin{array}{c|cccc} x & 0 & 3 & 6 & 9 \\ \hline y & 8 & 6 & 4 & 2 \end{array}
  7. 7. Find the rate of change:
    x1357y−4048\begin{array}{c|cccc} x & 1 & 3 & 5 & 7 \\ \hline y & -4 & 0 & 4 & 8 \end{array}
  8. 8. Find the rate of change:
    x−3036y4321\begin{array}{c|cccc} x & -3 & 0 & 3 & 6 \\ \hline y & 4 & 3 & 2 & 1 \end{array}

Answer Key

Level 2

  1. 1. −2-2
  2. 2. −3-3
  3. 3. 12\tfrac{1}{2}
  4. 4. 34\tfrac{3}{4}
  5. 5. −2-2
  6. 6. −23-\tfrac{2}{3}
  7. 7. 22
  8. 8. −13-\tfrac{1}{3}

Grade 8 Algebra: Slope from Tables

Name: ______________________Date: ____________Score: ____ / 8

Level 3

Constant rates and missing values

  1. 1. Is the rate of change constant? If so, find it:
    x0123y14916\begin{array}{c|cccc} x & 0 & 1 & 2 & 3 \\ \hline y & 1 & 4 & 9 & 16 \end{array}
  2. 2. Is the rate of change constant? If so, find it:
    x0123y6666\begin{array}{c|cccc} x & 0 & 1 & 2 & 3 \\ \hline y & 6 & 6 & 6 & 6 \end{array}
  3. 3. Is the rate of change constant? If so, find it:
    x25811y1357\begin{array}{c|cccc} x & 2 & 5 & 8 & 11 \\ \hline y & 1 & 3 & 5 & 7 \end{array}
  4. 4. Is the rate of change constant? If so, find it:
    x1245y35911\begin{array}{c|cccc} x & 1 & 2 & 4 & 5 \\ \hline y & 3 & 5 & 9 & 11 \end{array}
  5. 5. Is the rate of change constant? If so, find it:
    x0123y1248\begin{array}{c|cccc} x & 0 & 1 & 2 & 3 \\ \hline y & 1 & 2 & 4 & 8 \end{array}
  6. 6. Find the missing value (constant rate):
    x0123y27?17\begin{array}{c|cccc} x & 0 & 1 & 2 & 3 \\ \hline y & 2 & 7 & ? & 17 \end{array}
  7. 7. Find the missing value (constant rate):
    x1234y20?105\begin{array}{c|cccc} x & 1 & 2 & 3 & 4 \\ \hline y & 20 & ? & 10 & 5 \end{array}
  8. 8. Find the missing value (constant rate):
    x0246y−3?59\begin{array}{c|cccc} x & 0 & 2 & 4 & 6 \\ \hline y & -3 & ? & 5 & 9 \end{array}

Answer Key

Level 3

  1. 1. not constant\text{not constant}
  2. 2. constant, 0\text{constant, } 0
  3. 3. constant, 23\text{constant, } \tfrac{2}{3}
  4. 4. constant, 2\text{constant, } 2
  5. 5. not constant\text{not constant}
  6. 6. 1212
  7. 7. 1515
  8. 8. 11