Grade 8 · Math

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

6 printable versionsOn Level10 questions · answer keyFree · no account

Level: Building Confidence · On Level · Challenge Me

When it’s done, scan the sheet with your phone and PencilGo marks it and picks the next one. Create a free account

Version

Graph a steady rate: the unit rate is the slope

Grade 8 Math Worksheet

NameDate

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

Kira hikes up a trail at a steady pace and counts every trail sign. The graph shows hours and miles. What is the slope of the line, in miles per hour?
A garden snail crosses Milo's patio at a steady pace and takes the scenic route. The graph shows minutes and inches. What is the slope of the line, in inches per minute?
Read this first
Use the table
hours inches
2 3
6 9
8 12
Noah knits a scarf at a steady pace while a ball of yarn rolls away. The table shows hours and inches of scarf. What is the slope, in inches per hour?
The miles Tala bikes vary directly with the hours, and there are no hills. Tala bikes 34 miles in 4 hours. How many miles does Tala bike in 10 hours?
The quarts in Ari's bathtub vary directly with the minutes the circle runs. It adds 9 quarts in 4 minutes. How many quarts does it add in 10 minutes?
6.
Pia's hike is a graph through the marked point (4, 10). Tala's hike covers 15 miles in 6 hours, steadily. Which graph is steeper, or are they equally steep? Hours across, miles up.
- Tala's line
- Pia's line
- They are equally steep
7.
Kira's tub line has slope 5/3. Its graph shows minutes across and gallons up. Which sentence says what the slope means?
- 5/3 gallons for each 1 minute
- 5/3 gallons in all
- The line starts at 5/3 gallons
- 5/3 minutes for each 1 gallon
8.
Luz's printer graph is a straight line through (0, 0) and (6, 10), with x in minutes and y in pages. Which rule matches the line?
- y = 10x
- y = 5x ÷ 3
- y = 3x ÷ 5
- y = x + 4
9.
Milo's snail crawls at a steady pace. The line goes through (0, 0) and (8, 6), with x in minutes and y in inches. Which rule matches the line?
- y = 6x
- y = 3x ÷ 4
- y = 4x ÷ 3
- y = x − 2
10.
Zee's scooter table has the row 5 | 15. Jun's scooter graph has the marked point (4, 8). Both are steady, minutes across and blocks up. Which line is steeper, or are they equally steep?
- They are equally steep
- Zee's line
- Jun's line

hours	inches
2	3
6	9
8	12

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

See all grade 8 math

Every sheet you scan goes into your child’s record: dated, marked and ready for the year-end portfolio. Homeschool records