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Balancing Linear Equations Worksheet
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Balancing Linear Equations Worksheet
⚖️ Part 1: One-Step Linear Equations
Instructions: Solve each equation by performing the same operation on both sides. Show your working.
1. x + 7 = 15
2. 3y = 21
3. m - 9 = 4
4. n ÷ 5 = 8
🔢 Part 2: Two-Step Linear Equations
Instructions: Solve each equation using two operations. Remember to work backwards from the order of operations.
5. 2x + 5 = 17
6. 4y - 3 = 13
7. 3m + 8 = 26
8. Which equation has the solution x = 6?
2x + 4 = 16
3x - 2 = 15
x + 8 = 15
5x = 25
📊 Part 3: Inequalities and Substitution
9. Solve the inequality: x + 4 > 10
10. If x = 3, find the value of 4x - 7
11. Sarah has $25. She buys lunch for $8 and wants to buy some books that cost $4 each. Write and solve an inequality to find how many books she can buy.
12. Check which values make the equation 2n + 1 = 9 true:
n = 3
n = 4
n = 5
n = 6
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