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Grade 8 · Math

8th grade Find the slope from a table, a graph or two points worksheet

6 printable versionsBuilding Confidence10 questions · answer keyFree · no account

Level: Building Confidence · On Level · Challenge Me

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Find the slope from a table, a graph or two points

Grade 8 Math Worksheet - Building Confidence

NameDate

Circle the best answer, or write your answer on the line.

  1. Read this first

    Table (input: week | output: height in cm)

    2 | 11; 6 | 31. Beside it: output change 31 − 11 = 20; input change 6 − 2 = 4.

  2. Ari measures a bean plant at week 2 and week 6. The changes are worked out. What is the slope (rate of change), in cm per week?

  3. Table (input: minute | output: liters)

    3 | 14; 7 | 38. Beside it: output change 38 − 14 = 24; input change 7 − 3 = 4.

  4. Bo checks the water in the bath at minute 3 and minute 7. The changes are worked out. What is the slope (rate of change), in liters per minute?

  5. Table (input: second | output: meters of string)

    4 | 19; 10 | 37. Beside it: output change 37 − 19 = 18; input change 10 − 4 = 6.

  6. Esme lets out kite string and checks it at second 4 and second 10. The changes are worked out. What is the slope (rate of change), in meters per second?

  7. Use the table

    input: minutesoutput: books shelved
    16
    314
    522
    730
  8. Jun shelves library books at a steady pace. What is the slope (rate of change), in books per minute?

  9. Kira fills a big bucket with a hose. What is the slope (rate of change), in liters per minute?

  10. Luz's snail slides along a ruler at a steady speed (snack break later). What is the slope (rate of change), in cm per minute?

  11. In math club, Noah gets two points on a line: (2, 5) and (8, 29). What is the slope of the line?

  12. In math club, Pia gets two points on a line: (4, 10) and (10, 13). What is the slope of the line?

  13. Tala graphs a kite climbing at a steady speed. What is the slope (rate of change), in meters per second?

  14. Ari graphs a bean sprout's height. What is the slope (rate of change), in cm per week?

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8th grade Find the slope from a table, a graph or two points worksheet – printable
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About this worksheet

Find the slope from a table, a graph or two points. Every version has 10 questions, and the answer key prints on the second page.

What your child will learn

  • I can find the slope (rate of change) from two points, any two rows of a table, two points on a graph or two readings in a story: output change ÷ input change.
  • I can say what a slope means in a story ("the candle gets 2 cm shorter each hour") and use a slope to find a missing point.

Standard: 8.F.B.4 (rate of change from two (x, y) values), 8.EE.B.6 (partial)

Words to know

slope (rate of change): Output change ÷ input change: how much y changes for 1 more x.

output change / input change: Second output minus first output / second input minus first input.

negative slope: The output goes down as the input goes up.

zero slope: The output stays the same: a flat line.

"per": For each 1: "cm per hour" is cm for each 1 hour.

Common mistakes

Your child divided the input change by the output change, so the slope came out upside down.

Your child subtracted the outputs in one order and the inputs in the other, so the sign came out wrong. Try labeling one point first and one point second, and subtract in that order both times.

Your child found how much the output changed but did not divide by how much the input changed.

What to say

Ask: how much does the output change for 1 step of input?

Ask: how much is that for 1 step of input?

Questions parents ask

What is the most common mistake with find the slope from a table, a graph or two points?

Your child divided the input change by the output change, so the slope came out upside down.

How can I help my child with find the slope from a table, a graph or two points?

Ask: how much does the output change for 1 step of input?

Are these 8th grade math worksheets free to print?

Yes. All 6 printable versions at each level are free to print, with the answer key, and no account is needed.

More grade 8 math

See all grade 8 math

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