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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