GRADE 7 ALGEBRAIC SENSE (1998)

1. A ball rebounds one-half the height from which it is dropped. The ball is dropped from a height of 160 feet and keeps on bouncing. What height does it reach after the eighth bounce?

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2. How many small circles will it take to make the 16th figure in the sequence shown?

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People are seated at square tables. Each time a table is added additional people can sit together. Use the sequence as shown below to answer questions 3 and 4.

3. (a) How many tables must be connected together in one row to seat 16 people? (2 points)

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(b) If 18 tables are connected together in one row, how many people can be seated? (2 points)

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4. (a) If n tables are connected together in one row, how many people can be seated?

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(b) How many tables must be connected together in one row to seat n people?

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5. Given the information in the table, write an equation that can be used to calculate your allowance, d, when your age, n, is known and n greater than or equal to 8. .

 Age in years 8 9 10 11 Allowance (dollars) 2 6 10 14

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