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HIGHLINE SCHOOL DISTRICT                                               School:  __________________

FIRST YEAR MATH OLYMPIAD  March 21, 1998

                                                                                                                               Grade:  _________

Algebraic Sense (Functions & Relationships)

                                                                                                                Team Number:  _________

 

1.         What is the next number in this sequence?

            0          3          8          15        24        35

 

 

 

 

2.         Find x if 

X2 - 1
    ------- = 21
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                                                                                                                                         ___________

 

3.         Predict the value of X in this table

           

In

0

2

8

10

18

Out

5

11

29

X

59

 

 

 

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4.         A sofa is on sale for $100 at the furniture store.  Its price has been reduced twice.  The first time, the price was reduced by 50%.  The second time, the price was reduced by another $50.  How much did the sofa cost originally?

 

 

 

 

 

                                                                                                                                         ___________

 

5.         The weights of 3 cats add up to 36 pounds.  The heaviest cat is twice as heavy as the lightest cat.  The middle cat weighs 4 pounds less than the heaviest cat.  How much does the lightest cat weigh?

 

 

 

 

 

                                                                                                                                         ___________