Let x represent the number of true/false questions

Free response:x+7

Multiple choice: 2(x+7)=2x+14

Total:x+x+7+2x+14=45

4x+21=45

4x=24

x=<<6=6>>6 true/false questions

# Answer

6
<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
Stacy is a high school Calculus teacher.  She assigns 45 problems for homework.  There are twice as many multiple choice problems as free response, and 7 more free response than true/false.  How many true/false questions are there?
Please reason step by step, and put your final answer within \boxed{{}}.<|im_end|>
<|im_start|>assistant

user
6
Stacy is a high school Calculus teacher.  She assigns 45 problems for homework.  There are twice as many multiple choice problems as free response, and 7 more free response than true/false.  How many true/false questions are there?
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