PES SS 1 Further Math Term 1 Test 3
  • 1. 1.Which of the following expressions is equivalent to x³×x⁴?
A) X³+⁴
B) X-¹
C) X⁷
D) X¹²
  • 2. 2 Simplify x⁶/x²
A) x⁸
B) x³
C) x⁴
D) x-⁴
  • 3. 3 Which expression represents (x⁴)³?
A) x¹²
B) x⁴³
C) x¹
D) x⁷
  • 4. 4 Simplify x−³×x⁵
A) x-²
B) x-¹⁵
C) x²
D) x⁸
  • 5. 5 Which expression is equivalent to (2³)⁴?
A) 2¹²
B) 2²⁴
C) 2⁷
D) 2³⁴
  • 6. 6 If log⁡2(8)=3, then 2³ equals:
A) 6
B) 16
C) 4
D) 8
  • 7. 7 Simplify (x²y³)²
A) x⁵y⁶
B) x²y⁹
C) x⁴y⁵
D) x⁴y⁶
  • 8. 8. If xn=1, what must be true about n?
A) n must be positive
B) n must be zero
C) n can be any number
D) n must be negatice
  • 9. 9. If a¹=n, then?
A) an=1
B) Log n base a =1
C) Log 1 base a =n
D) Log a base n=1
  • 10. 10. Surds are?
A) Portal numbers
B) Cardinal numbers
C) Rational numbers
D) Irrational numbers
  • 11. 11. √(m/n) equals?
A) √m ÷ n
B) √m/√n
C) 1/√n × √m
D) √m × √n
  • 12. 12. Simplify √75
A) 9√2
B) 5√3
C) 6√7
D) 3√5
  • 13. 13. Simplify √80
A) 5√3
B) 4√5
C) 3√2
D) 5√4
  • 14. 14. Similar surds are?
A) Surds that have the same number.
B) Surds that don't have square root
C) Surds that cannot be decided by each other
D) Surds that have the same roots
  • 15. 15. Which of the following surds cannot be rationalized?
A) √3/2
B) 2/√2
C) √3/√2
D) 2/√3
  • 16. 16. The conjugate of a+√b is?
A) √a+√b
B) a-√b
C) a²-b
D) √b+a
  • 17. 17. A binary operations combines?
A) One element
B) Not specified
C) No element
D) Two elements
  • 18. 18. A binary operations is commutative, if?
A) Null
B) a+b=a-b
C) a×b=a×b
D) a*b=b*a
  • 19. 19. A binary operation is associative, if?
A) a*b=a*(b*c)
B) c*a=a*b
C) a*b*c=a*c
D) (a*b)*c=a*(b*c)
  • 20. 20. The element which leaves other elements unchanged when used in a binary operation is called?
A) Zero element
B) Identity element
C) Closure element
D) Inverse
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