Diego's history teacher writes a test for the class with 26 questions. the test is worth 123 points and has two types of questions: multiple choice worth 3 points each, and essays worth 8 points each. how many essay questions are on the test? explain or show your reasoning.

Number of essay questions = 9

Step-by-step explanation:

The test has 26 questions

The test is worth 123 points

The test has two types of questions:

Let the number of multiple choice questions be, m, and the number of essay questions be , e.

This forms a simultaneous equation below:

m + e = 26 ... (i)

3m + 8e = 123 ... (ii)

Multiplying (i) by 3 and (ii) by 1 we get:

3m + 3e = 78 ... (i)

3m + 8e = 123 ... (ii)

Subtracting (ii) - (i) we get;

0m + 5e = 45

5e = 45

e = 45 ÷ 5 = 9

So there are 9 essay questions.

and;

m + 9 = 26

m = 26 - 9 = 17

There are 17 multiple choice questions.

the correct answer is

c. 4

step-by-step explanation:

the given polynomial is

the degree of the polynomial is the highest exponent which is 4.

the -4 is called the leading coefficient.

this polynomial has only one term so it is a monomial.

the correct answer is option c.