Two-Variable Relationships: Tables, Equations & Graphs (Grade 6)
Free printable Grade 6 algebra worksheet: connect equations, tables and graphs and identify dependent and independent variables.
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Grade 6 · Math worksheet
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Date
Math
Two-Variable Relationships: Tables, Equations & Graphs
Use rules to complete tables, find rules from tables, identify variable roles, and analyze the plotted relationship.
- 1.The rule is y = x + 6. Complete the table: when x = 0, 3, 6, 9, y = ?
- 2.The rule is y = 2x. Complete the table: when x = 0, 3, 6, 9, y = ?
- 3.The rule is y = x + 4. Complete the table: when x = 0, 3, 6, 9, y = ?
- 4.The rule is y = 3x. Complete the table: when x = 0, 3, 6, 9, y = ?
- 5.A table shows these (x, y) pairs: (4, 9), (5, 10), (6, 11), (7, 12). Write the rule for y in terms of x.
- 6.A table shows these (x, y) pairs: (2, 4), (3, 6), (4, 8), (5, 10). Write the rule for y in terms of x.
- 7.A table shows these (x, y) pairs: (2, 10), (3, 11), (4, 12), (5, 13). Write the rule for y in terms of x.
- 8.A table shows these (x, y) pairs: (1, 5), (2, 10), (3, 15), (4, 20). Write the rule for y in terms of x.
- 9.A plant grows 8 cm every week, so its height is h = 8w after w weeks. Which is the dependent variable: h or w?
- 10.Movie tickets cost $3 each, so the total cost is c = 3n for n tickets. Which is the independent variable: c or n?
- 11.A cyclist rides 8 km every hour, so the distance is d = 8t after t hours. Which is the dependent variable: d or t?
- 12.A tutor earns $5 per lesson, so the total pay is p = 5n after n lessons. Which is the independent variable: p or n?
- 13.Movie tickets cost $3 each. The line graph above plots total cost c against number of tickets n, so c = 3n. Read the graph: what is c when n = 3?
- 14.On the line graph above, by how much does total cost c increase whenever the number of tickets n increases by 1?
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