Question

In which expression is 13y a term?

a- 13y/4 −2y

b- 8+13y −yz

c- 4+ 13yz

d- 13+y

Answer 1

Option b is the correct choice.

Explanation:

We are asked to find the which of our given expressions has 13y as a term.

Since we know that a term can be a signed number, a variable, or a constant multiplied by a variable or variables as 2a or 5b. In term 2a, 2 is coefficient and a is a variable.

We can see that in 13y, 13 is coefficient and y is variable.

Let us see our given choices one by one.

a.
`(13y)/(4)-2y`

Let can write our 1st term as:

`(13)/(4)y-2y`

We can see that both of our terms have y variable, but our 1st term has a coefficient 13/4 and 2nd term has a coefficient of -2. As none of these terms have 13 as a coefficient, therefore, option a is not a correct choice.

b.
`8+13y-yz`

We can see that 8 is a constant, while 13y and -yz are terms. Since our expression has 13y as a term, therefore, option b is the correct choice.

c.
`4+13yz`

We can see that 4 is a constant and 13yz is a term as it has variables yz. Since our given term has two variables, therefore, option c is not a correct choice as well.

d.
`13+y`

We can see that 13 is a constant and y is term of our given expression. Since our expression don't have 13 as coefficient, therefore, option d is not a correct choice.