Mathematical Topics:


Algebraic Expressions 2

Subject 1: Special products (A + B)2, (A + B)(A - B), (A + B)3

  • Level 1 : Expand (-3x + 1)2
  • Level 2 : Expand (5a + 1)(5a - 1)
  • Level 3 : Expand (3 - x)2 - 2(1 - 3x)(1 + 3x)
  • Level 4 : Express x2 - 6x as a difference of two squares
  • Level 5 : Expand (a - 2)3

Subject 2: Factoring A2 - B2, A2 + 2AB + B2, the trinomial ax2 + bx + c, difference of cubes.

  • Factor the expression:
  • Level 1 : 9a2 - b2
  • Level 2 : xa2 - 16xy2
  • Level 3 : 16x4 - y4
  • Level 4 : x2 + 10x + 25
  • Level 5 : 2y2 - y - 3
  • Level 6 : a3 - 27

Subject 3: Translating verbal sentences into equations.

  • Level 1 : The number x is greater than m by 6
  • Level 2 : The number x is greater than y by 20%
  • Level 3 : A two-digit number with x units and y tens is 78
  • Level 4 : The distance covered by a car traveling at y mph during c hours is k
  • Level 5 : A car covers a + 8 miles at a speed of 2x - 3 mph during 3.5 hours

Subject 4: Rules of integer exponents (positive, negative or zero).

  • Simplify expressions such as...
  • Level 1 : a2 a5
  • Level 2 : a12 / a4
  • Level 3 : (a3)5
  • Level 4 : (a b)3
  • Level 5 : (a / b)4



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