Apply the properties of operations to generate equivalent expressions. For example, apply the distributive property to the expression 3(2 + x) to produce the equivalent expression 6 + 3x; apply the distributive property to the expression 24x + 18y to produce the equivalent expression 6 (4x + 3y); apply properties of operations to y + y + y to produce the equivalent expression 3y.
What are similarities and differences between these figures? What expressions represent the perimeter and area of each figure? Students combine like terms and create expressions to represent the perimeter and area of figures created with algebra tiles.
The area of a rectangle is x^2 + 10x. How can you represent this area as a product? Students apply their knowledge of area and the distributive property to expand and factor algebraic expressions.