Quadratic Equations: Higher Worksheet With Answer Key

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Which grade are you…..?
: HIGHER
Quadratic Equations
1 Expand
a) 4(2x – 5)
b) 3x(5 – 2x)
2 Factorise fully
2
2
a) 20x - 8
b) 12x
– 10x
c) 6x
– 8xy
3 Expand and simplify
2
a) (x + 3)(x + 5)
b) (x – 4)(x + 1)
c) (x – 3)
4 Factorise and solve
2
2
2
a) x
– x – 20 = 0
b) x
– 7x + 6 = 0
c) x
– 16 = 0
5 Expand and simplify
2
a) (3x + 3)(2x – 3)
b) (4x – 5)
6 Factorise and solve
2
2
a) 10x
- 3x - 1 = 0
b) 4x
+ 15x – 4 = 0
2
7
a) Write y = x
– 6x + 28 in completed square form
b) State the minimum value of y
2
8 Solve 3x
- 8x + 2 = 0 . Give your answers correct to 2 decimal places.
9 Solve algebraically
2
a) The simultaneous equations y = 5 – x
and x + y = 3
���
= 4x + 7
b
)
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2
10 A rectangle has length 2x – 1 and width 3x – 2. The area of the rectangle is 33cm
.
Find the length and width of the rectangle

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