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

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Table. l (liters): 8, 16, 24. m (minutes): 1, 2, 3. Tala's tub gets 8 more liters each minute. What equation for l fits?
Table. m (minutes): 3, 6, 9. w (words): 120, 240, 360. Esme types 40 more words each minute. What equation for w fits?
Table. t (hours): 2, 4, 6. d (miles): 110, 220, 330. Jun rides in a car at a steady speed. What is d when t is 5?
Table. c (crayons): 120, 240, 360. b (boxes): 5, 10, 15. Every box Luz opens has the same number of crayons. What is c when b is 8?
5.
Table. m (mangoes): 12, 24, 36. t (trays): 1, 2, 3. Every tray Pia packs holds the same number of mangoes. The table shows mangoes m and trays t. Which is the dependent variable?
- t (trays)
- m (mangoes)
- Both: neither one depends on the other
6.
Table. w (words): 40, 80, 120. m (minutes): 1, 2, 3. Ren types at a steady speed, and the words are graphed from the table. Which variable goes on the horizontal axis?
- m (minutes), the independent variable
- w (words), the dependent variable
- Either one: it does not matter
7.
Table. b (boxes): 1, 2, 3. c (crayons): 24, 48, 72. Every box Tala opens has the same number of crayons, and the crayons are graphed from the table. Which variable goes on the horizontal axis?
- c (crayons), the dependent variable
- Either one: it does not matter
- b (boxes), the independent variable
8.
Zee's car trip is graphed. Miles d are on the vertical axis and hours t are on the horizontal axis. What does the plotted point say?
- d = 150 for each hour
- t = 150 and d = 3
- t = 3 and d = 150
9.
Ari's reading is graphed. Hours h are on the horizontal axis and pages p are on the vertical axis. What does the plotted point say?
- p = 120 for each hour
- h = 120 and p = 4
- h = 4 and p = 120
Table. m (Milo's age in years): 6, 7, 8. c (the cousin's age in years): 3, 4, 5. Milo's age and the age of Milo's cousin are shown in the table. What equation for m fits?

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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