distributive property, special products, factoring quadratic trinomials, factoring special products

What students will learn

• Define the distributive property of multiplication over addition and subtraction.
• Expand algebraic expressions using the distributive property and FOIL method.
• Identify and factorize special products including difference of two squares.
• Factorize quadratic trinomials of the form ax² + bx + c where a=1.
• Solve mathematical problems involving algebraic factorization and expansion.

Sample quiz questions

1. Expand the expression 3(2x + 5) using the distributive property.

   • A. 5x + 8
   • B. 6x + 15
   • C. 6x + 5
   • D. 5x + 15

2. Expand and simplify −2(4x − 3).

   • A. −8x + 6
   • B. −8x − 6
   • C. 8x − 6
   • D. −8x + 3

Answers and explanations come with the full quiz when you sign up.