An algebra test is worth 100 points and has 28 questions. Multiple- CHOICE Worth 2 points each and extended response worth 4 points each. How many questions of each type are on the test ?

6 multiple choice questions and 22 open/extended response questions

Step-by-step explanation:

Let x be the number of multiple choice questions

Let y be the number of open response questions

Thus, we have a system of equations:

2x+4y=100

x+y=28

Solve bottom equation for desired variable, then plug in to top one:

x+y=28

x=28-y

2(28-y)+4y=100

56-2y+4y=100

56+2y=100

2y=44

y=22

Plug y back into bottom equation to get x:

x+22=28

x=6

So there are 6 multiple choice questions and 22 open/extended response questions.

x-3y=4

step-by-step e

step-by-step explanation:

at each of the parallel lines adjacent angles are supplementary. the angles have special names identifying their positions with respect to the parallel lines and transversal. they are corresponding angles, alternate interior angles, or alternate exterior angles. an angles is congruent to its matched angle.