🎯 Part 1: Expanding Brackets

Remember: Use the distributive property to multiply each term inside the brackets.

a) 3(x + 4) = _______________

b) 5(2x - 3) = _______________

c) -2(x + 7) = _______________

⚖️ Part 2: Solving Multi-Step Equations

Remember: Do the same operation to both sides to keep the equation balanced.

a) 2x + 7 = 15

x = _______

b) 3x - 8 = 13

x = _______

c) 5x + 12 = 2x + 24

x = _______

🔧 Part 3: Equations with Brackets

Steps: 1) Expand brackets 2) Collect like terms 3) Solve using inverse operations

a) 2(x + 3) = 14

x = _______

b) 3(x - 4) = 15

x = _______

c) 4(2x + 1) = 3x + 19

x = _______

🧮 Part 4: Checking Solutions

Always verify: Substitute your answer back into the original equation.

Substitute x = 4 into the left side: 2(4 + 3) = 2(___) = _____

The right side equals: _____

Is x = 4 correct? Circle: YES / NO

5(x - 2) + 3 = 18

x = _______

Check: Substitute your answer back into the original equation:

📝 Part 5: Word Problems

Let w = number of weeks

Write the equation: _____ + _____ × w = _____

Sarah will have $141 after _______ weeks.

Let w = width in cm

Then length = _______________

Perimeter equation: 2(w) + 2(_______________) = 36

The width is _______ cm.

🌟 Part 6: Challenge Problems

3(2x - 1) - 2(x + 4) = 10

x = _______