Question

choose all expressions that have a coefficient of 6 and a total of three terms. a. $6y + 3$ b. $3x + y + 6$ c. $6 + x - 3$ d. $6x + y - 4$ e. $2x + 5 + 6y$

Explanation:

Step1: Check term count & coefficient A

Expression A: $6y+3$ has 2 terms, so it is invalid.

Step2: Check term count & coefficient B

Expression B: $3x+y+6$ has 3 terms, but 6 is a constant (no variable coefficient of 6), so it is invalid.

Step3: Check term count & coefficient C

Expression C: $6+x-3$ has 3 terms, but 6 is a constant (no variable coefficient of 6), so it is invalid.

Step4: Check term count & coefficient D

Expression D: $6x+y-4$ has 3 terms, and $6x$ has coefficient 6, so it is valid.

Step5: Check term count & coefficient E

Expression E: $2x+5+6y$ has 3 terms, and $6y$ has coefficient 6, so it is valid.

Answer:

D. $6x + y - 4$, E. $2x + 5 + 6y$