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 x^{2}  6x
as a difference of two squares
 Level 5 : Expand (a  2)^{3}
Subject 2: Factoring A^{2}  B^{2}, A^{2} + 2AB + B^{2}, the
trinomial ax^{2} + bx + c, difference of cubes.
 Factor the expression:
 Level 1 : 9a^{2}  b^{2}
 Level 2 : xa^{2}  16xy^{2}
 Level 3 : 16x^{4}  y^{4}
 Level 4 : x^{2} + 10x + 25
 Level 5 : 2y^{2}  y  3
 Level 6 : a^{3}  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 twodigit 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 : a^{2} · a^{5}
 Level 2 : a^{12} / a^{4}
 Level 3 : (a^{3})^{5}
 Level 4 : (a · b)^{3}
 Level 5 : (a / b)^{4}
