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8th grade Graph a steady rate: the unit rate is the slope worksheet

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Graph a steady rate: the unit rate is the slope

Grade 8 Math Worksheet - Challenge Me

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

  1. Tala's tub fills at a steady rate, and the bubbles are getting out of hand. Points A and B are marked on its graph. What is the slope of the line, in gallons per minute?

  2. Zee's snail makes steady progress across the garden. Two points, A and B, are marked on its graph. What is the slope of the line, in inches per minute?

  3. Ari speed-walks at a steady pace. The graph shows hours and miles, with the marked point at only 1/4 hour. What is the slope of the line, in miles per hour?

  4. Bo paints a trim board at a steady pace and gets a splash on the nose. The graph shows minutes and feet, marked at 3/4 minute. What is the slope, in feet per minute?

  5. The miles Kira hikes vary directly with the hours. Kira hikes 7 miles in 3 hours, and the trail is 21 miles long. How many hours does the whole trail take?

  6. Kira's scooter table has the row 5 | 14. Zee's scooter graph passes through (4, 6). Both are steady, with minutes and blocks. How many more blocks per minute does Kira go?

  7. Ren's bean plant grows 18 inches in 10 days. Luz's bean plant graph passes through (4, 6). Both are steady, with days and inches. How many more inches per day does Ren's plant grow?

  8. Pia's candle burns down at a steady rate. The line goes through (0, 0) and (5/6, 3/4), with x in hours and y in inches burned. Which rule matches the line?

    • y = 3x ÷ 4
    • y = 10x ÷ 9
    • y = x − 1/12
    • y = 9x ÷ 10

  9. Zee's scooter graph has blocks across and minutes up. Its line has slope 1/5. Which sentence says what the slope means?

    • 1/5 minute in all
    • 1/5 minute for each 1 block
    • 1/5 block for each 1 minute
    • The line starts at 1/5 minute

  10. Ari's printer graph has pages across and minutes up. Its line has slope 1/20. Which sentence says what the slope means?

    • 1/20 minute for each 1 page
    • 1/20 minute in all
    • The line starts at 1/20 minute
    • 1/20 page for each 1 minute
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8th grade Graph a steady rate: the unit rate is the slope worksheet – printable
Print: 123456

About this worksheet

Slope of a steady rate (rise over run). Every version has 10 questions, and the answer key prints on the second page.

What your child will learn

  • I can find the slope of a steady-rate line from a graph, a table, a slope triangle or two marked points: the rise for 1 step across.
  • I can use the slope to solve direct variation both ways (find y for a new x, or find x for a new y) and to pick the rule y = kx for a line.
  • I can tell which of two steady rates is steeper, and by how much, even when one is a graph and the other a table or a story.

Standard: 8.EE.B.5

Words to know

slope: How far a line goes up for each 1 step across. It is rise ÷ run.

run: How far across, the first number of a point.

rise: How far up, the second number of a point.

steady rate: The amount for 1 never changes, so the graph is a straight line through (0, 0).

direct variation: y varies directly with x when y is always the same number times x.

steeper: A line with a bigger slope climbs faster.

Common mistakes

Your child divided the right two numbers but the wrong way round, the run by the rise.

Your child gave a number from the point or the pair instead of the rise for 1 step across.

Your child subtracted the rise and the run.

What to say

Ask: how far up does the line go for each 1 step across?

Ask: is that the amount for 1, or for the amount we were told about?

Ask: if a line goes up 6 for every 3 across, how far up does it go for each 1 across?

Questions parents ask

What is the most common mistake with graph a steady rate: the unit rate is the slope?

Your child divided the right two numbers but the wrong way round, the run by the rise.

How can I help my child with graph a steady rate: the unit rate is the slope?

Ask: how far up does the line go for each 1 step across?

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

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