Translating Words into Mathematical Symbols

\(\underbrace{\text{nine }}_{9}\underbrace{\text{more than }}_{+}\underbrace{\text{some number }}_{x}\)

Translation: \(9+x\).

\( \underbrace{\text{Eighteen }}_{18}\underbrace{\text{minus }}_{\ - }\underbrace{\text{a  number }}_{x} \)

Translation: \(18-x\).

\(\underbrace{\text{A quantity }}_{y}\underbrace{\text{less }}_{\ -}\underbrace{\text{five }}_{5}\)

Translation: \(y-5\).

\(\underbrace{\text{Four }}_{4}\underbrace{\text{times }}_{.}\underbrace{\text{a number }}_{x}\underbrace{\text{is }}_{=}\underbrace{\text{sixteen }}_{16}\)

Translation: \(4x=16\).

\( \underbrace{\text{One fifth }}_{\frac{1}{5}} \underbrace{\text{of }}_{.} \underbrace{\text{a number }}_{n} \underbrace{\text{is }}_{=} \underbrace{\text{thirty }}_{30} \)

Transation: Translation: \(\frac{1}{5} n=30\), or \(\frac{n}{5}=30\).

\(\underbrace{\text{Five }}_{5} \underbrace{\text{times }}_{.} \underbrace{\text{a number }}_{x} \underbrace{\text{is }}_{=} \underbrace{\text{two }}_{2} \underbrace{\text{more than }}_{+} \underbrace{\text{twice }}_{2} \underbrace{\text{a number }}_{x} \)

Translation: \(5x=2+2x\).