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?
(b) How many squares connected together must be formed to use n matches?
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.)
3. Use the information about the relationship between Amy’s age and height in the table to answer parts (a) and (b).
(a) Write an equation that can be used to calculate Amy's height, h, when her age is n years.
(b) If Amy continues to grow at the same rate, what will her age be when she grows to a height of 195 cm?
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.
4. How many rectangles are created by this series of 12 connected squares?
5. How many rectangles are created by a series of n connected squares?