Which expression does not have 0 as a constant term?

Question

A. -5x

B. k+8

C. y2(squared)-2y

D. ab+b-c

Answer 1

By convention,                       [note: this is essential information]

    x and y represent variables

    k, a, b, and c represent constants

 

Also, by convention,                  [note: this is also essential information]

    Constants are written after terms with variables; for example:  x + 2

    If a constant equals 0, it may be omitted from the expression;  for example, 3x + 0  is just 3x.

 

So, 

 

A. -5x                              this is -5x+0
B. k+8                             k is a constant; the expression k+8 is 0 only if constant k=-8
C. y2(squared)-2y            this is -y² - 2y + 0
D. ab+b-c                        a, b, and c are constants; this is 0 only when (ab+b+c = 0)

 

The constant term(s) of either (B) or (D) are NOT 0 unless the above conditions are met.

Answer 2

The answer is B !!!

 

The constant term is USUALLY/TYPICALLY the last term where there is NO VARIABLE.

For example   10x + 5  <--- 5 is the constant term

                    x^2 + 2x + 1 <--- 1 is the constant term

 

(A)  -5x = -5x + 0   <---- there is the zero as the constant term, so A is NOT the answer

 

(C) y^2 - 2y = y^2 - 2y + 0 <--- there is the zero as the constant term, so C is NOT the answer

 

(D) ab + b - c <---   clearly not the answer

Answer 3

-5x could be written as -5x + 0

y²-2y as y2-2y+0

ab+b-c, the a, b, and c could be any number.

A constant is just a number by itself with no variable.

So which one has a constant that isn't 0?