GRADE 8 ALGEBRAIC SENSE (1998)

1. Ryan was making a match stick square sequence as shown below. Use this sequence to answer the following questions:


(a) How many squares connected together must be formed to use 28 matches?

 

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(b) How many squares connected together must be formed to use n matches?

 

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2 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 tenth bounce? (Do not round your answer.)

 

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3. Use the information about the relationship between Amy’s age and height in the table to answer parts (a) and (b).

 Age (years)
3
4
5
6

 Height (cm)
100
110
120
130

(a) Write an equation that can be used to calculate Amy's height, h, when her age is n years.

 

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(b) If Amy continues to grow at the same rate, what will her age be when she grows to a height of 195 cm?

 

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A series of connected squares creates rectangles of different sizes. For example, the series of two connected squares at right creates a total of 3 rectangles. Use this information to answer questions 4 and 5.
Example:

3 rectangles

 

4. How many rectangles are created by this series of 12 connected squares?

 

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5. How many rectangles are created by a series of n connected squares?

 

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