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4B Part 2: Rate of Change (Tables & Points) - Printable Mathematics Worksheets - Wayground

4B Part 2: Rate of Change (Tables & Points)

10 questions

8th - 8th Grade

Mathematics

This free printable Grade 8 mathematics worksheet builds fluency with rate of change and slope using tables, coordinate points, and visual slope representations. Students complete 10 multiple-choice questions that classify slopes as positive, negative, zero, or undefined, then calculate slope from ordered pairs and tables. One item also connects rate of change to units such as gallons per minute, reinforcing how to interpret a numerical rate in context. The worksheet is designed for students who are learning to distinguish slope types and apply the slope formula accurately. It encourages students to show their work, compare rise and run, track positive and negative changes, and identify the correct units for a rate. Use it for guided practice, independent review, or a quick formative check after instruction on slope and rate of change. A complete answer key is included for efficient checking.

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4B Part 2: Rate of Change (Tables & Points)

Total questions: 10

Name
Class
Date
1.

I know that I am expected to show my work on paper to help myself solve these problems rather than just doing them in my head.

a)

Yes

b)

No (FALSE, you DO know because you should have just read it. Go get paper and a writing utensil.)

2.

Slope Dude says this is...

a)

positive

b)

negative

c)

undefinded

d)

zero

3.

Slope Dude says this is...

a)

undefined

b)

positive

c)

negative

d)

zero

4.

Slope Dude says this is...

a)

undefined

b)

positive slope

c)

negative slope

d)

zero slope

5.

Slope Dude says this is...

a)

Undefined

b)

Help

c)

Zero

d)

Positive

6.

Find the slope of the line that passes through:

 (−1,3) and (2,5)\left(-1,3\right)\ and\ \left(2,5\right)  

a)

 23\frac{2}{3}  

b)

 32\frac{3}{2}  

c)

 −23-\frac{2}{3}  

d)

 −32-\frac{3}{2}  

7.

What is the rate of change of

 (−3,7) and (5,−9)\left(-3,7\right)\ and\ \left(5,-9\right)  

a)

 −2-2  

b)

 22  

c)

 −12-\frac{1}{2}  

d)

 12\frac{1}{2}  

8.

Find the rate of change (slope) for this table.

a)

1

b)

2

c)

11

9.

What is the slope of

a)

23\frac{2}{3}

b)

−23-\frac{2}{3}

c)

32\frac{3}{2}

d)

−32-\frac{3}{2}

10.

Find the rate of change (slope) for this table.

a)

-2 minutes per gallon

b)

-20 minutes per gallon

c)

-2 gallons per minute

d)

-20 gallons per minute

Answer Key

4B Part 2: Rate of Change (Tables & Points)

Total questions: 10

1.
a)

Yes

2.
a)

positive

3.
c)

negative

4.
d)

zero slope

5.
a)

Undefined

6.
a)

 23\frac{2}{3}  

7.
a)

 −2-2  

8.
b)

2

9.
a)

23\frac{2}{3}

10.
c)

-2 gallons per minute

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FAQs

What does this worksheet cover?

This worksheet covers identifying positive, negative, zero, and undefined slope, then finding rate of change from coordinate pairs and tables. Its 10 multiple-choice questions require students to classify slope representations, apply rise over run to points such as (-1, 3) and (2, 5), and interpret a table-based rate with appropriate units.

How can I use this worksheet to teach slope and rate of change?

Use the first slope-identification questions to have students describe how a line’s direction indicates positive, negative, zero, or undefined slope. Then model rise over run with the coordinate-pair items before asking students to calculate rates from tables. Prompt students to explain how the sign and units of an answer communicate the direction and meaning of the change.

What mistakes should I watch for when students complete this slope worksheet?

Watch for students reversing rise and run, losing the negative sign when the coordinates change in opposite directions, or confusing a zero slope with an undefined slope. In the coordinate-pair questions, students may also choose a reciprocal because they divide in the wrong order. For the table item with units, check that students identify the correct quantity per unit, such as gallons per minute rather than minutes per gallon.

How do I assign and grade this worksheet?

This rate-of-change worksheet is available as a printable PDF and as a digital quiz on Wayground, and it includes a complete answer key. Grade printable submissions by reviewing the selected answers and students’ shown work, or scan student work with the Wayground for Teachers app for a faster grading workflow.

How can I differentiate this slope worksheet for my students?

In the worksheet’s Advanced Settings, adjust font spacing or choose a larger font size to make the slope-identification choices, coordinate pairs, and table questions easier to read. You can also enable a dyslexia-friendly font or translate the worksheet into another language while keeping the same multiple-choice practice on slope and rate of change.

Where can I find more worksheets like this on Wayground?

Wayground offers a broad collection of free printable worksheets and practice problems across subjects, with downloadable PDFs and answer keys to support essential skills and concepts. Browse more resources at https://wayground.com/en-us/worksheets.

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