Question

A teacher is creating a test for his Algebra 1 students. The test is made up of multiple-choice and free response questions. Each mutliple-choice question is worth 2 points and each free response question is worth 3 points. If the test has 48 questions and is worth a total of 100 points, which equations can be used to find x, the number of multiple-choice questions and y, the number of free response questions on the test?

(Choose TWO correct answers.)

Answers:

x+y=100
x+y=48
2x+3y=100
2x +3y=48
3x +2y = 48
3x +2y=100

Please answer asap!!

Answer 1

The correct equations are 2x +3y=100 and x+y=48. These equations can be used to find the number of multiple-choice and free response questions on the test. The first equation, 2x +3y=100, shows that the total number of points for the multiple-choice questions (2x) plus the total number of points for the free response questions (3y) equals 100. The second equation, x+y=48, shows that the total number of multiple-choice and free response questions on the test is equal to 48. These equations can be solved simultaneously to find the values of x and y.