add and subtract algebraic expressions practice

Answer 1

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.