## Algebra 1: Common Core (15th Edition)

a) $9.45x$ b) $9+4h$ c) $\frac{2}{3n}$
a) Use the Associative Property of Multiplication: $2.1(4.5x)=(2.1\times4.5)x=9.45x$ b) Use the Commutative Property of Addition: $6+(4h+3)=6+(3+4h)$, then use the Associative property of Addition: $6+(3+4h)=(6+3)+4h=9+4h$ c) Rewrite the equation like this: $\frac{8\times m}{12\times m\times n}$, cancel out the m's: $\frac{8\times m}{12\times m\times n}=\frac{8}{12\times n}$ Rewrite the equation: $\frac{8}{12\times n}=\frac{4\times 2}{4\times3n}$, cancel out the 4s and you will be left with: $\frac{2}{3n}$