Grade 8 · Math

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 - Building Confidence

NameDate

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

With the arrow ÷ 2 beside both columns. Bo bikes 30 miles in 2 hours and waves at every goose. The table's next row is ÷ 2. What is the slope, in miles per hour?
With the arrow ÷ 8 beside both columns. Esme fills the tub with 24 gallons in 8 minutes and adds extra bubbles. The table's next row is ÷ 8. What is the slope, in gallons per minute?
With the arrow ÷ 10 beside both columns. Jun's snail crawls 5 inches in 10 minutes and refuses to hurry. The table's next row is ÷ 10. What is the slope, in inches per minute?
Kira's reading graph is a straight line. A slope triangle under it has run 8 minutes and rise 32 pages. What is the slope, in pages per minute?
Pia rides a bike path at a steady speed and rings the bell at every bridge. The graph shows hours and miles. What is the slope of the line, in miles per hour?
Ren scoots to school at a steady pace and says hi to every mailbox. The graph shows minutes and blocks. What is the slope of the line, in blocks per minute?
Zee weaves a rug at a steady speed, with a very interested pet cat nearby. The graph shows hours and inches woven. What is the slope of the line, in inches per hour?
8.
Ari's bike line has slope 12. Its graph shows hours across and miles up. Which sentence says what the slope means?
- 12 miles in all
- The line starts at 12 miles
- 12 hours for each 1 mile
- 12 miles for each 1 hour
9.
Bo's printer line has slope 20. Its graph shows minutes across and pages up. Which sentence says what the slope means?
- 20 pages in all
- The line starts at 20 pages
- 20 minutes for each 1 page
- 20 pages for each 1 minute
10.
Jun's reading line has slope 2. Its graph shows minutes across and pages up. Which sentence says what the slope means?
- 2 pages for each 1 minute
- 2 pages in all
- The line starts at 2 pages
- 2 minutes for each 1 page

8th grade Graph a steady rate: the unit rate is the slope worksheet – printable — Print: 1 2 3 4 5 6

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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