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Rate of Change from Two Points on a Graph: Classroom Packet

Grade 8 Algebra: Rate of Change from Two Points on a Graph

Name: ______________________Date: ____________Score: ____ / 8

Level 1

Positive whole-number slopes

  1. 1. Find the rate of change (slope):
    1122334455667788xy
  2. 2. Find the rate of change (slope):
    1122334455667788xy
  3. 3. Find the rate of change (slope):
    1122334455667788xy
  4. 4. Find the rate of change (slope):
    1122334455667788xy
  5. 5. Find the rate of change (slope):
    −5−5−4−4−3−3−2−2−1−11122334455xy
  6. 6. Find the rate of change (slope):
    −5−5−4−4−3−3−2−2−1−11122334455xy
  7. 7. Find the rate of change (slope):
    −5−5−4−4−3−3−2−2−1−11122334455667788xy
  8. 8. Find the rate of change (slope):
    −5−5−4−4−3−3−2−2−1−11122334455xy

Answer Key

Level 1

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

Grade 8 Algebra: Rate of Change from Two Points on a Graph

Name: ______________________Date: ____________Score: ____ / 8

Level 2

Negative, fraction, zero and undefined slopes

  1. 1. Find the rate of change (slope):
    1122334455667788xy
  2. 2. Find the rate of change (slope):
    −5−5−4−4−3−3−2−2−1−1112233445566xy
  3. 3. Find the rate of change (slope):
    1122334455667788xy
  4. 4. Find the rate of change (slope):
    −5−5−4−4−3−3−2−2−1−11122334455xy
  5. 5. Find the rate of change (slope):
    −5−5−4−4−3−3−2−2−1−11122334455xy
  6. 6. Find the rate of change (slope):
    −5−5−4−4−3−3−2−2−1−11122334455xy
  7. 7. Find the rate of change (slope):
    −5−5−4−4−3−3−2−2−1−1112233445566xy
  8. 8. Find the rate of change (slope):
    −5−5−4−4−3−3−2−2−1−11122334455xy

Answer Key

Level 2

  1. 1. −2-2
  2. 2. −2-2
  3. 3. 12\tfrac{1}{2}
  4. 4. 23\tfrac{2}{3}
  5. 5. −34-\tfrac{3}{4}
  6. 6. 00
  7. 7. undefined\text{undefined}
  8. 8. −1-1

Grade 8 Algebra: Rate of Change from Two Points on a Graph

Name: ______________________Date: ____________Score: ____ / 8

Level 3

Graphs in context

  1. 1. Rate of change (x = hours, y = miles walked):
    112233445566778899xy
  2. 2. Rate of change (x = weeks, y = plant height in cm):
    1122334455667788xy
  3. 3. Rate of change (x = minutes, y = liters left):
    112233445566778899xy
  4. 4. Rate of change (x = tickets, y = dollars):
    1122334455667788xy
  5. 5. Rate of change (x = days, y = gallons of water):
    1122334455667788xy
  6. 6. Rate of change (x = hours, y = inches of snow):
    1122334455667788xy
  7. 7. Find the slope, then the y-intercept:
    −5−5−4−4−3−3−2−2−1−11122334455667788xy
  8. 8. Find the slope, then the y-intercept:
    −5−5−4−4−3−3−2−2−1−1112233445566xy

Answer Key

Level 3

  1. 1. 2 mi/h2\text{ mi/h}
  2. 2. 1 cm/week1\text{ cm/week}
  3. 3. −2 L/min-2\text{ L/min}
  4. 4. $2 per ticket\$2\text{ per ticket}
  5. 5. −23 gal/day-\tfrac{2}{3}\text{ gal/day}
  6. 6. 12 in/h\tfrac{1}{2}\text{ in/h}
  7. 7. 32, b=4\tfrac{3}{2},\ b = 4
  8. 8. −43, b=1-\tfrac{4}{3},\ b = 1