Question

Which expression is equivalent to 9x − 2x + 3 and why? (1 point)

9x + x, because 9x − (2x − 3) = 9x + x
14x, because 9x − 2x + 3 = 9x + 5x = 14x
10x, because 9x − 2x + 3 = 7x + 3 = 10x
3 + 7x, because (9x − 2x) + 3 = 7x + 3 = 3 + 7x

Answer 1

The equivalent expression to 9x - 2x + 3 is 3 + 7x, because like terms have been combined, giving us 7x + 3.

Step-by-step explanation:

The expression 9x - 2x + 3 can be simplified by combining like terms. Here, 9x and -2x are like terms because they both contain the variable x to the same power. To simplify, we subtract 2x from 9x, which gives us 7x. Then we bring down the constant +3. The simplified expression is 7x + 3, which can also be written as 3 + 7x. So the equivalent expression to 9x - 2x + 3 is 3 + 7x.

Answer 2

Option D, 3 + 7x

Step-by-step explanation:

Step 1: Combine Like Terms

9x - 2x + 3

(9x - 2x) + 3

7x + 3

Answer: Option D, 3 + 7x