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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