Linear Pattern Equations
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Linear Pattern Equations
📊 Part 1: Identifying Linear Patterns
a) What is the constant difference? ________
b) What would be the 8th term? ________
Pattern: 4, 7, 10, 13, ...
Term position (n): 1, 2, 3, 4, 5, 6
Term value: 4, 7, 10, 13, ____, ____
🔢 Part 2: Writing Algebraic Equations
a) The constant difference is: ________
b) The first term is: ________
c) Write the equation using n for the term position: ________________
Equation: y = ________________
🎯 Part 3: Using Equations to Make Predictions
a) What is the 10th term? ________
b) What is the 15th term? ________
c) Which term position gives a value of 32? ________
a) How much water is added each hour? ________ litres
b) How much water was in the pool at the start? ________ litres
c) Write an equation where h = hours and w = total water: ________________
d) How much water will be in the pool after 6 hours? ________ litres
🧠 Part 4: Problem Solving
My pattern: _____, _____, _____, _____, _____
Constant difference: ________
Equation: ________________
True / False - In a linear pattern, the difference between consecutive terms is always the same.
True / False - The equation y = 2n represents the pattern 2, 4, 6, 8, ...
True / False - If a pattern starts at 5 and increases by 3 each time, the equation is y = 3n + 2.
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