Mathematics

Home > Mathematics > General Mathematics > HSC Course > Algebraic Modelling > AM3: Algebraic skills and techniques > Quick quiz: A sample of multiple choice questions for this topic.

AM3

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1. Solve: 4x - 8 = 24
x = 8
 x = 14
 x = 4

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2. Solve cubed root of 4h/3 = 8
h = 384
 h = 1.5
 h = 18

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3. Solve 4x2 = 64
x = ±128
 x = ±16
 x = ±4

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4. Simplify: 4x2 – 2x + 3x+ 5x2
9x2 + x
 9x4 + x
 -x2 + x

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5. -32a2b/-8ab2
-4a/b
 4ab
 4a/b

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6. Make y the subject of this equation: (y-2)/3 = 4x

y = 3(4x + 2)
 y = 12x - 2
 y = 12x + 2

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7.

Make a the subject of this equation:

b = 4 times square-root of a/2


    a = b-squared/8



    a = b-squared/2



    a = 2 times square-root of b/4

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8.

The distance in km that an observer can see the horizon from the height of h metres is given by

d = 8 times square-root h/5

How high (to the nearest metre) would you need to be to see a distance of 50km.

127 km
 25 km (correct to the nearest metre)
 195 km (correct to the nearest metre)

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9. Use estimation and refinement to solve the following: (correct to 1dp)

2x="11.2
x="3.5" (correct to 1 decimal place)
 x="5.6" (correct to 1 decimal place)
 x="22.4" (correct to 1 decimal place)

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10. Express this number in scientific notation 14 800 000
1.48 x 107
 14.8 x 106
 1.48 x 10-7

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