There are 27 questions on an algebra test. All of the questions are multiple choice or constructed response. The number of constructed response questions on the test is six less the ten times the number of multiple choice questions. How many of each.

Solve using system of equations.

y=number of constructed response questions

x=number of multiple choice questions

x+y=27

y=10x-6

Replace y for 10x-6 in the first equation

x + (10x-6) = 27

Simplify.

11x=33

x=3

Substitute 3 for x in any equation to get y=24

there are 3 multiple choice and 24 constructed response questions.