Algebra
# Properties of Arithmetic

Which expression is equivalent to $3(x^{2}+2x+3)?$

$\text{A: }3x^{2} + 6x + 9$ $\text{B: }3x^{2} + 2x + 3$

Which expression is equivalent to $3-(x-2)?$

$\text{A: }1-x$ $\text{B: }5-x$

Which expression is equivalent to $\dfrac{3+x}{2+y}?$

$\text{A: }\dfrac{3}{2} + \dfrac{x}{y}$ $\text{B: }\dfrac{3}{2} + \dfrac{x}{2} + \dfrac{3}{y} + \dfrac{x}{y}$

Which expression is equivalent to $\sqrt{a+b}?$

$\text{A: }\sqrt{a} + \sqrt{b}$ $\text{B: }\sqrt{a} + 2\sqrt{ab} + \sqrt{b}$

Which expression is equivalent to $(a \cdot b) + c?$

$\text{A: }(a+c)(b+c)$ $\text{B: }a \cdot (b+c)$