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 \((a \cdot b) + c?\)
\[\text{A: }(a+c)(b+c)\] \[\text{B: }a \cdot (b+c)\]