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Algebra Practice Questions & Answers

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Determine the value of x2 + y2 when x3 - y3 = 54, x - y = 18 and xy = 2

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Determine the value of x2 + y2 when x3 - y3 = 54, x - y = 18 and xy = 2
1). 0
2). 1
3). 2
4). 3

32 vote

If 2x + 3y - 5z = 18, 3x + 2y + z = 29 and x + y + 3z = 17, then what is the value of xy + yz + zx?

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If 2x + 3y - 5z = 18, 3x + 2y + z = 29 and x + y + 3z = 17, then what is the value of xy + yz + zx?
1). 32
2). 52
3). 64
4). 46

0 vote

Which of the following is correct?

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Which of the following is correct?
1). (4x - 5y)2 = 16x2 - 20xy + 25y2
2). (4x - 5y)2 = 16x2 + 40xy - 25y2
3). (4x - 5y)2 = 16x2 - 40xy + 25y2
4). (4x - 5y)2 = 16x2 - 20xy - 25y2

0 vote

In each of these questions, two equations (I) and (II) are given. You have to solve both the equations and give answer I. x2 - 36 = 0 II. 3y2-26y + 35 = 0

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In each of these questions, two equations (I) and (II) are given. You have to solve both the equations and give answer

I. x2 - 36 = 0

II. 3y2-26y + 35 = 0


1). if x > y
2). if x ≥ y
3). if x < y
4). if x ≤ y

0 vote

Simplify: \(\frac{{{{\left( {a + b} \right)}^2}}}{{\left( {{a^2} - {b^2}} \right)}} = ?\)

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Simplify:

\(\frac{{{{\left( {a + b} \right)}^2}}}{{\left( {{a^2} - {b^2}} \right)}} = ?\)


1). \(\frac{{ab}}{{\left( {a + b} \right)}}\)
2). \(\frac{{2ab}}{{\left( {a - b} \right)}}\)
3). \(\frac{{\left( {a + b} \right)}}{{\left( {a - b} \right)}}\)
4). None of these