Mrs.D Math · 6th Grade

TABLE
TREK

Write & Graph Equations from Tables
📊 Tables
📈 Graphs
✖️ Multiplicative
➕ Additive
✖️ y = 3x
➕ y = x + 5
📍 (2, 6)
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📚 Equations from Tables

Multiplicative or Additive?

Test the table: what happens to x to get y — every single row?

✖️
Multiplicative: y is x times the same number in every row.
x: 1, 2, 3  →  y: 3, 6, 9  →  y = 3x
Additive: y is x plus the same number in every row.
x: 1, 2, 3  →  y: 4, 5, 6  →  y = x + 3
⚠️
Careful! Check EVERY row — one row can trick you. In the table above, 1 → 3 could be ×3 or +2, but row two (2 → 6) only works with ×3.

Write the Equation, Then Graph It

1
Find the rule that works for every row of the table.
2
Write it in terms of y: y = (rule)
y = 4x   or   y = x + 7
3
Plug in each x to find y, then write ordered pairs (x, y) and plot them on the graph.
y = 4x, x = 5 → y = 20 → plot (5, 20)

How to Play

🔍
Mult or Add? — Study the table and pick the correct rule type + equation.
🧮
Match the Equation — Match equations to tables and find ordered pairs on the graph.
🎲
Mixed — Both types together for the ultimate trek!
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MULT OR ADD?
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