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Mastering Algebra Basics
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Mastering Algebra Basics
📚 Part 1: Understanding Algebra Terms
1. In the expression 5x + 3, what is the coefficient?
x
5
3
5x
2. Which of these are variables? (Tick all that apply)
x
7
y
12
3. In the expression 4y - 8, what is the constant?
4
y
8
4y
✏️ Part 2: Simplifying Expressions
4. Simplify: 3x + 5x = _________
5. Simplify: 7y - 2y = _________
6. Simplify: 4a + 3a + 2 = _________
7. Show your working to simplify: 6b + 2b - 3
🧮 Part 3: Solving Simple Equations
8. Solve: 2x + 4 = 12
Step 1: Subtract 4 from both sides: 2x = _____
Step 2: Divide both sides by 2: x = _____
9. Solve: 3y - 5 = 10
10. A rectangle has a width of x metres and a length that is 3 metres longer than its width. If the perimeter is 22 metres, find the width.
Hint: Perimeter = 2 × (length + width)
11. Check your answer from question 10 by substituting back into the original equation:
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