Level 2 Algebra 2005

Level 2 Algebra 2005: 

Level 2 Algebra 2005 NCEA External Exam

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Question One: Expand (2x + 3)(x – 4)(x + 2) Question Two: Simplify and write your answers with positive indices Question Three: Write as the log of a single number: 2 log 9 – log 3

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Question Four: Solve the following equations: (a) (b)

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Question Five: A zookeeper spends $133.10 altogether on bananas and nuts for the monkeys. He buys 8kg more bananas than nuts. Bananas cost $2.20 per kg and nuts cost $4.80 per kg. How many kgs of bananas did the zookeeper buy? You must show the equations you use to solve the problem.

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Question Six: The weight, W kg, of a giraffe over its first 2 years of life is given by the equation Where t is the time in months since the giraffe was born. How long does it take the giraffe to weigh 85kg

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Question Seven: Find the x co-ordinates of the points of intersection of the parabola y = 2x2 – x - 6 and the line y = 4x - 3 Question Eight: A newborn giraffe is 1.8m tall. A formula that gives the height, H metres, of a giraffe over its first five years is Where t is the time in years since the giraffe was born. How long does it take for a giraffe to reach a height of 2.7m?

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Question Nine: Find the range of values of k for which the roots of the equation are not real.

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Question One: Expand (2x + 3)(x – 4)(x + 2) Question Two: Simplify and write your answers with positive indices

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Question Three: Write as the log of a single number: 2 log 9 – log 3 Achieved (part 1) = 2 out of 3 from 1, 2 and 3

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Question Four: Solve the following equations: (a) (b)

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Question Five: A zookeeper spends $133.10 altogether on bananas and nuts for the monkeys. He buys 8kg more bananas than nuts. Bananas cost $2.20 per kg and nuts cost $4.80 per kg. How many kgs of bananas did the zookeeper buy? You must show the equations you use to solve the problem. Achieved (part 2) = 2 out of 3 from 4(a), 4(b) and 5

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Question Six: The weight, W kg, of a giraffe over its first 2 years of life is given by the equation Where t is the time in months since the giraffe was born. How long does it take the giraffe to weigh 85kg a=1/4 b= -1 c= -17 The giraffe will take 10.5 months to reach 85kg

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Question Seven: Find the x co-ordinates of the points of intersection of the parabola y = 2x2 – x - 6 and the line y = 4x - 3 Question Eight: A newborn giraffe is 1.8m tall. A formula that gives the height, H metres, of a giraffe over its first five years is Where t is the time in years since the giraffe was born. How long does it take for a giraffe to reach a height of 2.7m? Merit = 2 out of 3 from 6, 7, 8

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Question Nine: Find the range of values of k for which the roots of the equation are not real. a = 1 b = -8 c = -8 The values of k between -0.89898 and 8.89898 are not real