6) Your math teacher is planning a test for you. The test will have 30 questions. Some of the
questions will be worth 3 points, and the others will be worth 4 points. There will be a total
of 100 points on the test. How many 3-point questions and how many 4-point questions
will be on the test?
a. Identify the problem:
b. Let the number of 3-point questions = x and the number of 4-point questions = y. Write
the two equations for the system.
FRETT
c. Use subsititution to solve for y in the first equation.
d. Substitute the value for y into the second equation to solve for x.
e. There will be
3-point questions and
4-point questions.
f. Check your solution by substituting the values into both equations.