Placement Exam For Level A - Summer High School Program, 2015 Page 2
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42015 Summer High School Program
Placement Exam for Level A
NAME: ______________________
Short Answer: Write your answer and show your work in the space below each question.
Clearly indicate your final answer by drawing a box around it.
10. Simplify the expression 2�� − 3 ( �� − 2 ) + (�� − 2 ( 2�� − 1 ) )
4
3
2
11. Factor completely: 3��
− 10��
+ 3��
2
2
��
−5��+6
2��
��
+6��+8
12. Simplify the expression:
∙
∙
3
2
2
��
+4��
��−3
��
−4
13. Patrick has shirts and ties in four colors: red, yellow, green and blue. How many shirt-tie combinations can he
make if the shirt and the tie have to be in different colors?
2
2
14. If �� + �� = 4 and ��
+ ��
= 10, compute the value of ����.
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Page
New York Math Circle
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