If you have the expression 8x + 3y - 2x + 4y, what is the simplified form?

If you have the expression 8x + 3y - 2x + 4y, what is the simplified form?

• A. 6x + 7y
• B. 10x + 7y
• C. 5y
• D. 8x + 7y

Answer: (A)

To simplify the expression 8x + 3y - 2x + 4y, we focus on combining like terms, which are terms that have the same variable raised to the same power. First, look at the terms that contain 'x'. The expression has 8x and -2x: - Combining these gives you \(8x - 2x = 6x\). Next, examine the terms that contain 'y'. The expression includes 3y and 4y: - Combining these results in \(3y + 4y = 7y\). Putting those results together, we get the simplified expression: 6x + 7y. Therefore, the correct answer reflects both combined like terms accurately, leading to the result of 6x + 7y. This demonstrates understanding of how to simplify algebraic expressions by grouping and combining terms based on their variables.

To simplify the expression 8x + 3y - 2x + 4y, we focus on combining like terms, which are terms that have the same variable raised to the same power.

First, look at the terms that contain 'x'. The expression has 8x and -2x:

• Combining these gives you (8x - 2x = 6x).

Next, examine the terms that contain 'y'. The expression includes 3y and 4y:

• Combining these results in (3y + 4y = 7y).

Putting those results together, we get the simplified expression: 6x + 7y.

Therefore, the correct answer reflects both combined like terms accurately, leading to the result of 6x + 7y. This demonstrates understanding of how to simplify algebraic expressions by grouping and combining terms based on their variables.