Question

The expression 3x + 7x + 9x can be written various ways. Select all equivalent

expressions.

10x+9x

16x+3x

x(3+7+9)

3x(1+3)+7x

Answer 1

Answer: They are all equivalent.

Explanation:

We can start by adding all of these terms: 3x+7x+9x = 19x

1. 10x+9x = 19x ; this is equivalent

2. 16x+3x = 19x ; also equivalent

3. This one's tricky, but still - x(3+7+9) = x(19) = 19x ; equivalent!

4. Just do algebra- 3x(1+3)+7x = 3x(4)+7x = 12x+7x = 19x ; this is equivalent.