Grade 6 · Math

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

6 printable versionsBuilding Confidence10 questions · answer keyFree · no account

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Two changing quantities: tables, graphs, equations

Grade 6 Math Worksheet - Building Confidence

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Table. w (words): 20, 40, 60. m (minutes): 1, 2, 3. Jun types at a steady speed. Each row is m equal bars of the same size. What equation for w fits?
Table. t (hours): 2, 4, 6. d (miles): 6, 12, 18. Kira hikes and walks 3 more miles each hour. Each row is t equal bars of the same size. What equation for d fits?
Table. m (minutes): 3, 6, 9. l (liters): 18, 36, 54. Pia's garden hose runs at a steady rate. Each row is m equal bars of the same size. What equation for l fits?
Table. t (hours): 1, 2, 3. d (miles): 5, 10, 15. Ren jogs at a steady speed. Each row is t equal bars of the same size. What is d when t is 4?
Table. d (kilometers): 24, 48, 72. t (hours): 2, 4, 6. Zee cycles at a steady speed. Each row is t equal bars of the same size. What is d when t is 5?
Table. p (pages): 3, 6, 9. s (stickers): 30, 60, 90. Bo's sticker book has the same number of stickers on every page. Each row is p equal bars of the same size. What is s when p is 4?
Table. w (weeks): 1, 2, 3. h (centimeters): 7, 8, 9. Esme measures a seedling each week. In every row, h is a bar for w with one extra piece added on. What equation for h fits?
Table. s (Esme's blocks): 5, 6, 7. a (Ari's blocks): 1, 2, 3. Ari and Esme each build a tower of blocks. In every row, s is a bar for a with one extra piece added on. What equation for s fits?
9.
Milo's run is graphed. Miles d are on the vertical axis and hours t are on the horizontal axis. What does the plotted point say? (A point is written (across, up).)
- t = 20 and d = 4
- t = 4 and d = 20
- d = 20 for each hour
10.
Noah's printer pages are graphed. Minutes m are on the horizontal axis and pages p are on the vertical axis. What does the plotted point say? (A point is written (across, up).)
- p = 40 for each minute
- m = 4 and p = 40
- m = 40 and p = 4

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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