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Study Quiz
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1
Expand fully: (3z - 1)(3z + 2)
A)9z2 + 3z + 2
B)9z2 - 2
C)9z2 - 3z - 2
D)9z2 + 3z - 2
2
Expand fully: (4b + 3)2
A)16b2 + 24b + 9
B)16b2 + 9
C)16b2 - 9
D)16b2 + 12b + 9
3
Expand fully: (8r + 1)(8r - 1)
A)64r2
B)64r2 + 16r + 1
C)64r2 - 1
D)64r2 + 1
4
Find an expression for the area of the rectangle shown:
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A)20x2 - 3
B)20x2 + 11x - 3
C)20x2 + 11x + 3
D)20x2 - 11x - 3
5
Write the equation in standard form of the parabola with minimum at (-4, -1) with x-intercepts at -6 and -2.
A)y = x2 + 8x + 12
B)y = -0.25x2 - 2x - 3
C)y = 1/4x2 - 2x + 3
D)y = 0.25x2 + 2x + 3
6
Factor fully: 125p2 - 20
A)5(25p2 - 4)
B)5(5p - 2)2
C)5(5p - 2)(5p + 2)
D)Cannot be factored.
7
Find the height and base of the shaded region shown, assuming there are no fractions among the coefficients of the expressions for the dimensions.
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A)y + 1, y - 5
B)y - 1, y + 5
C)y - 8, y - 10
D)y + 8, y + 10
8
Factor fully: -3x2 + 15x - 18
A)-3(x2 + 5x + 6)
B)3(x - 2)(x - 3)
C)-3(x + 2)(x + 3)
D)3(-x - 2)(-x - 3)
9
The cross-section of a skateboard pipe can be modelled by the equation v = 0.125h2 - 2.5h, where v and h are vertical and horizontal distances in metres, respectively. If someone begins at ground level (v = 0) and heads down the pipe, how far away will they be when they come back up to ground level again?
A)20 m
B)10 m
C)7.5 m
D)5.25 m
10
Find the axis of symmetry of y = -2/3(x + 7)(x + 2)
A)x = 4.5
B)x = -2
C)x = -4.5
D)x = -7





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