What is the simplified form of 5y + 2y - 3y?

What is the simplified form of 5y + 2y - 3y?

• A. 4y
• B. 3y
• C. 6y
• D. 5y

Answer: (A)

To simplify the expression 5y + 2y - 3y, you combine the coefficients of the like terms, which are all terms that include 'y'. Begin by adding the coefficients: 1. Start with 5 (from 5y). 2. Add 2 (from 2y): 5 + 2 = 7. 3. Subtract 3 (from -3y): 7 - 3 = 4. Since all terms are like terms, you are left with 4y after combining them. Thus, the simplified form of the expression is 4y. This process involves adding and subtracting numbers that represent the scalar multiples of 'y', leading to the final result. Understanding this principle of combining like terms is essential for simplifying algebraic expressions.

To simplify the expression 5y + 2y - 3y, you combine the coefficients of the like terms, which are all terms that include 'y'.

Begin by adding the coefficients:

1. Start with 5 (from 5y).

2. Add 2 (from 2y): 5 + 2 = 7.

3. Subtract 3 (from -3y): 7 - 3 = 4.

Since all terms are like terms, you are left with 4y after combining them. Thus, the simplified form of the expression is 4y.

This process involves adding and subtracting numbers that represent the scalar multiples of 'y', leading to the final result. Understanding this principle of combining like terms is essential for simplifying algebraic expressions.