📝 Part 1: Understanding Variables

a) 5 more than a number: _______________

b) 3 times a number: _______________

c) A number decreased by 7: _______________

d) Half of a number: _______________

a) x + 6 = _______________

b) 3x = _______________

c) 2x - 1 = _______________

⚖️ Part 2: One-Step Equations

a) x + 8 = 15

x = _______________

Check: _______________ + 8 = 15 ✓

b) 4y = 28

y = _______________

Check: 4 × _______________ = 28 ✓

c) m - 5 = 12

m = _______________

Check: _______________ - 5 = 12 ✓

🔢 Part 3: Two-Step Equations

5s + 3 = 18

Step 1: Subtract 3 from both sides

5s + 3 - 3 = 18 - 3

5s = _______________

Step 2: Divide both sides by 5

5s ÷ 5 = _______________ ÷ 5

s = _______________

Let k = number of kilometres

Equation: 3.50 + 2.20k = 14.30

Answer: _______________ kilometres

🔄 Part 4: Properties of Operations

a) 3(x + 4) = _______________

b) 5(2y - 1) = _______________

c) 2(a + b + 3) = _______________

a) 3x + 5x = _______________

b) 7y - 2y + 4 = _______________

c) 2a + 3b + 5a - b = _______________

📈 Part 5: Patterns and Rules

a) What is the constant increase? _______________

b) What would be the 10th term? _______________

c) Write a rule using algebra where n is the position number:

Rule: T(n) = _______________

a) The length: _______________

b) The perimeter: _______________

c) If the width is 4 metres, what is the actual perimeter? _______________

🎯 Part 6: Problem Solving Challenge

a) Write an equation to find how many weeks (w) she needs to save:

Equation: _______________

b) Solve the equation:

Answer: _______________ weeks