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Basic Algebraic Identities Of School Algebra & Elementary Surds

Total Questions : 1010 | Page 2 of 101 pages
Question 11.  simplify a(c - b) - b(a - c)
  1.    ac + bc
  2.    ac - 2ab - bc
  3.    ac - 2ab + bc
  4.    ac + 2ab + bc
 Discuss Question
Answer: Option C. -> ac - 2ab + bc
Explanation :
Question 12.  expand and simplfy (x - 5)(x + 4)
  1.    x² - x - 1
  2.    x² - x - 9
  3.    x² - x - 20
  4.    x² + 9x - 20
 Discuss Question
Answer: Option C. -> x² - x - 20
Explanation :
Question 13.  expand and simplfy (x - y)(x + y)
  1.    x² - y²
  2.    x² + y²
  3.    x²- 2xy + y²
  4.    x² + 2xy + y²
 Discuss Question
Answer: Option A. -> x² - y²
Explanation :
Question 14.  simplify 5⁄2 ÷ 1⁄x
  1.    2x ⁄ 5
  2.    5x ⁄ 2
  3.    5 ⁄ 2x
  4.    2 ⁄ 5x
 Discuss Question
Answer: Option B. -> 5x ⁄ 2
Explanation :
Question 15.  factorise x² + x - 72
  1.    (x + 8)(x - 9)
  2.    (x - 8)(x + 9)
  3.    (x - ?72)²
  4.    (x - ?72)(x + ?72)
 Discuss Question
Answer: Option B. -> (x - 8)(x + 9)
Explanation :
Question 16.  (a - b)² =
  1.    a² + b²
  2.    a² - b²
  3.    a² + 2ab + b²
  4.    a² - 2ab + b²
 Discuss Question
Answer: Option D. -> a² - 2ab + b²
Explanation :
Question 17.  expand and simplify (x + y)³
  1.    x³ - y³
  2.    x³ + y³
  3.    x³ + 3xy(x - y) + y³
  4.    x³ + 3xy(x + y) + y³
 Discuss Question
Answer: Option D. -> x³ + 3xy(x + y) + y³
Explanation :
Question 18.  (a - b)² =
  1.    a² + b²
  2.    a² - b²
  3.    a² + 2ab + b²
  4.    a² - 2ab + b²
 Discuss Question
Answer: Option D. -> a² - 2ab + b²
Explanation :
Question 19.  factorise -20x² - 9x + 20
  1.    (5 - 4x)(4 - 5x)
  2.    (5 - 4x)(4 + 5x)
  3.    (5 + 4x)(4 - 5x)
  4.    (5 + 4x)(4 + 5x)
 Discuss Question
Answer: Option C. -> (5 + 4x)(4 - 5x)
Explanation :
Question 20.  factorise x² + x - 72
  1.    (x + 8)(x - 9)
  2.    (x - 8)(x + 9)
  3.    (x - ?72)²
  4.    (x - ?72)(x + ?72)
 Discuss Question
Answer: Option B. -> (x - 8)(x + 9)
Explanation :

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