Question

Which facts could be applied to simplify this expression? Check all that apply.

5 x + 3 y + (negative x) + 6 z
To add like terms, add the coefficients, not the variables.
First add 5x + x.
The simplified expression is 4 x + 3 y + 6 z.
Only combine terms which contain the same variable.
The simplified expression is 5 x + 3 y + 6 z.
A B C D E

Answer 1

A, C, and D.

Reason: 5x + 3y + (−x) + 6z simplifies by combining like terms: add coefficients, not variables (A), and only combine terms with the same variable (D). 5x + (−x) = 4x, so the simplified expression is 4x + 3y + 6z (C).

B is wrong because the term is −x, not +x; E is incorrect because it fails to combine 5x and −x.