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8th grade Use the fit line's equation to predict, and say what its slope and intercept mean worksheet

6 printable versionsBuilding Confidence10 questions · answer keyFree · no account

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Use the fit line's equation to predict, and say what its slope and intercept mean

Grade 8 Math Worksheet - Building Confidence

NameDate

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

  1. Luz's garden club fit a line to seedling heights. About how tall does the model say a seedling is 9 days after it is moved outside, in cm?

  2. Milo fit a line to bike rides: length against time. The helmet is shiny and new. About how many minutes does the model predict for a 7-kilometer ride?

  3. Noah's jump-rope club fit a line to weeks of practice and jumps in one minute. About how many jumps does the model predict after 7 weeks?

  4. Pia's class drew a fit line on the bean plant plot. Using the line, about how tall is a plant 5 weeks after planting, in cm?

  5. Ren's team drew a fit line for practice and free throws. Using the line, about how many free throws go with 7 hours of practice?

  6. Tala drew a fit line through a plot of short walks. Using the line, about how many blocks go with 8 minutes of walking?

  7. Ari's class fit the line y = 4x + 30 to practice time (x, in hours a week) and quiz scores (y). What does the 4 mean?

    • The 4 means every extra hour raises every student's score by exactly 4 points, with no exceptions.
    • The 4 means each student practiced about 4 hours a week.
    • The 4 means students who practice 1 more hour a week tend to score about 4 points higher.
    • The 4 means a student who does not practice tends to score about 4 points.
  8. Bo's garden club fit the line y = 1.5x + 4 to days outside (x) and seedling height in cm (y). What does the 1.5 mean?

    • The 1.5 means a seedling tends to be about 1.5 cm tall on its first day outside.
    • The 1.5 means every seedling grows exactly 1.5 cm each day.
    • The 1.5 means seedlings outside 1 more day tend to be about 1.5 cm taller.
    • The 1.5 means the club measured 1.5 seedlings each day.
  9. Esme fit the line y = 3x + 5 to bike rides: length in km (x) and time in minutes (y). The tires were freshly pumped. What does the 3 mean?

    • The 3 means the rides were about 3 kilometers long.
    • The 3 means rides that are 1 km longer tend to take about 3 more minutes.
    • The 3 means a ride tends to take about 3 minutes before it even starts.
    • The 3 means every kilometer takes exactly 3 minutes on every ride, without any variation.
  10. Jun's class fit the line y = 6x + 15 to shoe length (x) and height (y), both in cm. What does the 6 mean?

    • The 6 means every centimeter of shoe makes a person exactly 6 cm taller.
    • The 6 means the class measured 6 shoes.
    • The 6 means people whose shoes are 1 cm longer tend to be about 6 cm taller.
    • The 6 means a person tends to be about 6 cm tall with no shoes.
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8th grade Use the fit line's equation to predict, and say what its slope and intercept mean worksheet – printable
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About this worksheet

Use the fit line's equation to predict, and say what its slope and intercept mean. Every version has 10 questions, and the answer key prints on the second page.

What your child will learn

  • I can use a fit line's equation, or the line on the grid, to predict about how much y goes with an x, and the other way round.
  • I can say what the slope means in the story ("about 4 more points for each extra hour"), and whether the intercept means anything.
  • I can find a fit line's slope from two of its points, and write its equation.

Standard: 8.SP.A.3

Words to know

linear model: A fit line and its rule, used to describe and predict.

prediction: What the model says y is about, for a chosen x.

slope: How much y tends to change for each 1 more x.

intercept (start): The line's y-value at x = 0, where it crosses the y-axis.

tends to: Usually, but not exactly, for every dot.

inside / past the data: Between the smallest and largest x in the plot / just beyond it.

Common mistakes

Your child used the slope but left out the starting amount, the number added at the end of the line's rule. Read the rule together as 'start at the added number, then add the slope for each step'.

Your child swapped the two numbers of the line's rule: the slope multiplies x, and the start is added. Ask together: which number changes with each step, and which one is there at the start?

Your child read the data dot instead of the fit line. A prediction comes from the line, which shows the pattern, not from one dot. Put a finger on the line together at that spot.

Questions parents ask

What is the most common mistake with use the fit line's equation to predict, and say what its slope and intercept mean?

Your child used the slope but left out the starting amount, the number added at the end of the line's rule. Read the rule together as 'start at the added number, then add the slope for each step'.

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.

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