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
  

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

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

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