Sure! Here are some practice problems for adding and subtracting algebraic expressions:
1. Simplify the expression: 2x + 3y - 4x - 2y.
Solution: 2x - 4x + 3y - 2y = -2x + y.
2. Simplify the expression: 4a - 2b + 3a + 5b.
Solution: 4a + 3a - 2b + 5b = 7a + 3b.
3. Simplify the expression: 5x - (2x + 3y).
Solution: Apply the distributive property: 5x - 2x - 3y = 3x - 3y.
4. Simplify the expression: 3a - (2a - b) + 4b.
Solution: Apply the distributive property: 3a - 2a + b + 4b = a + 5b.
5. Simplify the expression: 2x + (3x - 4y) - (x + y).
Solution: Apply the distributive property: 2x + 3x - 4y - x - y = 4x - 5y.
6. Simplify the expression: 2(x + 3y) - 3(x - y).
Solution: Apply the distributive property: 2x + 6y - 3x + 3y = -x + 9y.
Remember to always simplify as much as possible by combining like terms.
7. Simplify the expression: -2x - (4x - 3y) + (2y - x).
Solution: Apply the distributive property: -2x - 4x + 3y + 2y - x = -7x + 5y.
8. Simplify the expression: 5a + (3b - 2a) - (b + 4a).
Solution: Apply the distributive property: 5a + 3b - 2a - b - 4a = -1a + 2b.
9. Simplify the expression: (2x + 3y) + (4x - 2y) - (x + y).
Solution: Apply the distributive property: 2x + 3y + 4x - 2y - x - y = 5x.
10. Simplify the expression: -3x - (5y - 2x) + (2y + 4x).
Solution: Apply the distributive property: -3x - 5y + 2x + 2y + 4x = 3x - 3y.