Algebra

Question 1

Given two numbers x and y such that 

1. x³ + y³ = 9 

2. x + y = 3

Find the value of x⁴+y⁴      

• 2/3

• 7

• 13

• 17

Question 2

The value of x+1/2x is given as 2, then find the value of 8x³+1/x³

• 40/3

• 20/7

• 28

• 40

Question 3

If x takes only real numbers. For what value of x, the value of the expression: 4−6x−x² will be maximum?

• -4

• -3

• 0

• 3

Question 4

Solve for x in the equation: log(2x - 1) + log(3) = log(x + 5) 

• x = -1/3 

• x = 1/3 

• x = 5/3 

• x = 8/5

Question 5

For what value of x, the following equation: 5^√x +12^√x =13^√x will be true?

• -2

• 0

• 3

• None of the above

Question 6

If the value of b² + ¹⁄_b² = 1, then find the value of b³ + ¹⁄_b³

• -1/12

• -2

• -4

• None of the above

Question 7

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• 1 + 1/(x+4)

• x+4

• 1/x

• (x+4)/ x

Question 8

If a+b+c = 0, then the value of (a^2/bc) + (b^2/ac) + (c^2/ab) will be? 

• 3

• 2

• 1

• 0

Question 9

4/15 of 5/7 of a number is greater than 4/9 of 2/5 of the same number by 8. What is half of that number?

• 630
• 63
• 315
• 105

Question 10

If 2x/(1 + 1/(1 + x/(1 - x))) = 1, then find the value of x.

• 1/3
• 2/3
• 1/2
• 3/2