Question

The expression on the left side of an equation is shown below.

3(x + 1) + 9 = _____

If the equation has no solution, which expression can be written in the box on the other side of the equation?
A. 3(x + 4)
B. 2(x + 6) + x
C. 4(x – 3) – x
D. 3(x + 1) + 9x

Answer 1

C. 4(x – 3) – x

Explanation:

When simplified, the expression will have no solutions.

Answer 2

The expression that will be in the box is

3(x + 4). ( optionA)

Equivalent expressions have the same value for all possible inputs. They may look different but simplify to the same result.

Examples include 2x and x + x, demonstrating different forms that represent the same mathematical expression.

3(x +1)+9

= 3x + 3 + 9

= 3x + 12

= 3(x + 4)

Therefore the equivalent expressions of

3(x +1)+9 is 3(x + 4).