Question

Consider the following expression. 2b +6a+9+ 5a Select all of the true statements below. 2b is a coefficient. 6a and 5a are like terms. 2b is a term. 2b is a factor. 9 is a constantNone of these are true.

Answer 1

We have the expression:

`2b+6a+9+5a`

The first statement that is true about this expression is:

6a and 5a are like terms.

This is because like terms are terms that have the same variable or variables. In this case, 6a and 5a even though they have different coefficients (6 and 5) are like terms because they have the same variable "a".

The next statement that is true about the expression is:

2b is a term.

A term in an expression is each of the elements of the expression. For example, in the expression 10x+4y, 10x and 4y are terms.

And in the case of the expression we have 2b, 6a, 9 and 5a are all terms.

Thus, yes, 2b is a term.

The final statement that is true is:

9 is a constant.

This is because the term "9" does not have a variable, so it is called a constant.