True or False: The expression 3x + 5y + x can be simplified to 4x + 5y.

True or False: The expression 3x + 5y + x can be simplified to 4x + 5y.

• A. True
• B. False
• C. Depends on the values of x and y
• D. It cannot be simplified

Answer: (A)

The expression 3x + 5y + x can indeed be simplified by combining like terms. Like terms are those terms that contain the same variable raised to the same power. In this case, 3x and x are like terms because they both contain the variable x. To simplify the expression, first, combine the coefficients of the like terms: - The coefficient of the first term (3x) is 3. - The coefficient of the second term (x) is simply 1 (since it is equivalent to 1x). Now, add these coefficients together: 3 + 1 = 4 This results in 4x. The remaining term, 5y, does not have a like term to combine with, so it stays as 5y. Therefore, after combining like terms, the simplified expression is 4x + 5y. This confirms that the statement is true.

The expression 3x + 5y + x can indeed be simplified by combining like terms. Like terms are those terms that contain the same variable raised to the same power. In this case, 3x and x are like terms because they both contain the variable x.

To simplify the expression, first, combine the coefficients of the like terms:

• The coefficient of the first term (3x) is 3.

• The coefficient of the second term (x) is simply 1 (since it is equivalent to 1x).

Now, add these coefficients together:

3 + 1 = 4

This results in 4x. The remaining term, 5y, does not have a like term to combine with, so it stays as 5y.

Therefore, after combining like terms, the simplified expression is 4x + 5y. This confirms that the statement is true.