Grade 6 · Math

6th grade Two changing quantities: tables, graphs, equations worksheet

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Two changing quantities: tables, graphs, equations

Grade 6 Math Worksheet - Challenge Me

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

Table. m (minutes): 3, 6, 9. l (liters): 24, 48, 72. Jun's sprinkler uses water at a steady rate. It has used 120 liters. For how many minutes has it run?
Table. m (magnets): 40, 80, 120. b (boxes): 4, 8, 12. Every box Kira opens has the same number of magnets. The science room has 200 magnets. How many boxes is that?
Table. t (hours): 2, 4, 6. d (miles): 7, 14, 21. Milo walks and covers 3.5 more miles each hour. What equation for d fits?
Pia jogs and covers 4.5 more miles each hour, and the trip is graphed. What equation for d fits?
The growth of Ren's sunflower is graphed. What equation for h fits?
Table. s (Esme's age in years): 2, 5, 9. n (Noah's age in years): 6, 9, 13. Noah's and Esme's ages are shown at three birthdays. What equation for n fits?
Table. k (Kira's meters): 5, 8, 12. t (Tala's meters): 10, 13, 17. Tala starts 5 m ahead of Kira on a path, and the table shows where each stands. What equation for t fits?
8.
Table. s (stickers): 25, 50, 75. p (pages): 1, 2, 3. Zee's sticker pad has the same number of stickers on every page. The table shows stickers s and pages p. Which is the dependent variable?
- p (pages)
- s (stickers)
- Both: neither one depends on the other
9.
The magnets in Ari's boxes are graphed. Magnets m are on the vertical axis and boxes b are on the horizontal axis. What does the plotted point say?
- m = 90 for each box
- b = 5 and m = 90
- b = 90 and m = 5
10.
Table. t (days): 1, 2, 3. h (millimeters): 3, 6, 9. Jun's seedling grows the same amount each day, and the growth is graphed from the table. Which variable goes on the horizontal axis?
- Either one: it does not matter
- t (days), the independent variable
- h (millimeters), the dependent variable

6th grade Two changing quantities: tables, graphs, equations worksheet – printable — Print: 1 2 3 4 5 6

About this worksheet

Tables, graphs and equations. Every version has 10 questions, and the answer key prints on the second page.

What your child will learn

I can say which of two amounts I choose (independent) and which one follows from it (dependent).
I can write an equation like d = 65t from a table, and use it to find a value.
I can tell a table that multiplies (y = 4x) from one that adds (y = x + 3), and read a point on a graph as (across, up).

Standard: 6.EE.C.9

Words to know

variable: A letter that stands for an amount that can change.

independent variable: The amount we choose. The other amount depends on it.

dependent variable: The amount that changes because of the other one.

table: Rows that pair a value of one variable with a value of the other.

rate: How much of one amount goes with exactly one of the other.

graph: A picture where each pair is a dot: across for the independent, up for the dependent.

Common mistakes

Your child mixed up which amount depends on the other, for example writing t = 65d instead of d = 65t, or putting the two numbers of a point the wrong way round. Try asking "which one do we choose, and which one follows from it?"

Your child read a "plus" rule from the first pair of numbers in a table that really multiplies. Try checking the rule on the second pair together: if it does not fit there, it is not the rule.

Your child used the jump between two pairs of numbers as the rate. Try asking "how much for just one?" and dividing the jump in the second amount by the jump in the first.

Questions parents ask

What is the most common mistake with two changing quantities: tables, graphs, equations?

Are these 6th 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 6 math

See all grade 6 math

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