📊 Part 1: Identifying Linear Patterns

a) What is the constant increase? ________

b) What would be the 8th term? ________

c) Write the rule in words: _________________________________

Pattern: 4, 7, 10, 13, ...

🔢 Part 2: Writing Algebraic Rules

a) 8, 16, 24, 32, ... Rule: ________________

b) 1, 4, 7, 10, ... Rule: ________________

c) 50, 100, 150, 200, ... Rule: ________________

My pattern: ____, ____, ____, ____, ____

Constant increase: ________

Algebraic rule: ________________

a) n = 3: 5n = ________

b) n = 7: 5n = ________

c) n = 12: 5n = ________

⚖️ Part 3: Solving One-Step Linear Equations

a) n + 8 = 15

Answer: n = ________

b) 3t = 21

Answer: t = ________

c) s - 5 = 12

Answer: s = ________

d) 4m = 28

Answer: m = ________

Check for question 7a: _____ + 8 = 15 ✓ or ✗

Check for question 7b: 3 × _____ = 21 ✓ or ✗

🧠 Part 4: Algorithmic Thinking

Step 1: Start with the term number n

Step 2: ________________________________

Step 3: The result is the term value

a) The 6th term: ________

b) The 15th term: ________

🎯 Part 5: Problem Solving

a) How much does she save each week? $________

b) Write an algebraic rule for the amount she has after n weeks: ________________

c) How much will she have after 8 weeks? $________

a) What is the cost per kilometre? $________

b) What is the base fare? $________

c) Write the rule for cost after n kilometres: ________________