Problem A: Use the Distributive Property to write each expression in expanded form. A1. 3(x+5)3x +15

A2. 2(3x-10)

A3. 2x(x+5)

A4. (x+2)(x+5)

Problem B: Use the Distributive Property to write each expression in factored form.

B1. 12+24x

B2. x+x+x+6

B3. x2+3x

B4. x2+4x

Problem C: The following expressions all represent the number of border tiles for a square pool with side length s.

4(s+1) s+s+s+s+4

2s+2(s+2) 4(s+2)-4

(s+2)2-s2 2[2(s+2)-2]

C1. Use the Distributive and Commutative properties to show that these expressions are equivalent.

4(s+1)=

s+s+s+s+4=

2s+2(s+2)=

4(s+2)-4=

(s+2)2-s2=