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Worksheets[YEAR 09 5.3 MATHEMATICS] Challenging Algebra
Total questions: 10
Worksheet time: 13mins
Name
Class
Date
1.
Simplify the following algebraic expression:
-6x + 5 + 12x -6
-6x + 5 + 12x -6
a)
- 6x + 1
b)
6x + 1
c)
- 6x - 1
d)
6x - 1
2.
Simplify the following algebraic expression:
2(x - 9) + 6(-x + 2) + 4x
2(x - 9) + 6(-x + 2) + 4x
a)
- 6x
b)
- 6
c)
2x + 1
d)
6
3.
Simplify the following algebraic expression:
(x + 2)(x + 4) + (x + 5)(-x - 1)
(x + 2)(x + 4) + (x + 5)(-x - 1)
a)
- x - 1
b)
4x + 2
c)
3
d)
3x
4.
Simplify the following algebraic expression:
(-x2y2)(xy2)
(-x2y2)(xy2)
a)
xy3
b)
- x6y8
c)
x3y4
d)
- x3y4
5.
Find any real solution(s) for the following quadratic equation:
2x2 - 8 = 0
2x2 - 8 = 0
a)
solution set {2, 0}
b)
solution set {-2, 2}
c)
solution set {4, 2}
d)
solution set {2, -2}
6.
For what value of the constant b does the linear equation 2x + by = 2 have a slope equal to 2?
a)
b = -1
b)
b = 0
c)
b = -2
d)
b = 4
7.
Solve the following inequality:
x + 3 < 0
x + 3 < 0
a)
x > 3
b)
x < 3 ⅓
c)
x > -3
d)
x < -3
8.
The parallelogram shown in the figure has a perimeter of 44 cm and an area of 64 cm2. Find angle T in degrees.
a)
28.6o
b)
34.8o
c)
43.2o
d)
48.1o
9.
Rationalise the denominator of the following expression:
1÷√2
1÷√2
a)
√2÷2
b)
2÷2√2
c)
√2
d)
√2+2
10.
Rationalise the denominator of the following expression:
4÷(√3 - √2)
4÷(√3 - √2)
a)
2(√3 - √2)
b)
4(√3 + √2)
c)
(√3 + 2√2)
d)
4(√3 - 2√2)
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