Algebra Equations Practice Worksheet

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📚 Part 1: Simplifying Expressions

Instructions: Simplify each algebraic expression by combining like terms.

1. Simplify: 3x + 5x - 2x

2. Simplify: 4a + 7 - 2a + 3

3. Simplify: 6y - 4y + 8 - 3

4. Which expression is equivalent to 5m + 3m - m?

7m²

Instructions: Solve each equation to find the value of the variable. Show your working.

5. Solve: x + 8 = 15

6. Solve: 3n = 21

7. Solve: y - 6 = 12

8. Solve: 2k + 5 = 17

Instructions: Write an equation for each word problem, then solve it.

9. Sarah has some stickers. After giving away 12 stickers, she has 25 left. How many stickers did she start with?

Equation: _______________

Solution: _______________

10. A rectangle has a length of 15 metres and a perimeter of 46 metres. What is the width?

Remember: Perimeter = 2 × length + 2 × width

Equation: _______________

11. Tom buys 4 identical books for a total of $36. How much does each book cost?

Equation: _______________

Solution: _______________