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## Test Your Math Skills

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Question 1 |

A baseball team won \(48\) games in an \(84\) game season, with no ties. What is the ratio of games won to games lost in that season?

A | \(\displaystyle{\frac{7}{4}}\) |

B | \(\displaystyle{\frac{3}{4}}\) |

C | \(\displaystyle{\frac{48}{84}}\) |

D | \(\displaystyle{\frac{4}{7}}\) |

E | \(\displaystyle{\frac{4}{3}}\) |

Question 2 |

Factor completely.
\[ x^2 (a-b)+4(b-a)\]

A | \(\displaystyle{(a-b)(x^2-4)}\) |

B | \(\displaystyle{(b-a)(x^2-4)}\) |

C | \(\displaystyle{(a-b)(x+2)(x-2)}\) |

D | \(\displaystyle{(b-a)(x+2)(x-2)}\) |

E | \(\displaystyle{(a-b)(x^2+4)}\) |

Question 3 |

Find the exact value of \(\cot{30^\circ}\)

A | \(\displaystyle{\frac{\sqrt{2}}{2}}\) |

B | \(\displaystyle{\sqrt{3}}\) |

C | \(\displaystyle{\frac{\sqrt{3}}{3}}\) |

D | \(\displaystyle{1}\) |

E | \(\displaystyle{\frac{1}{2}}\) |

F | \(\displaystyle{\frac{\sqrt{3}}{2}}\) |

Question 4 |

Change \(6\frac{1}{5}\) to a percent.

A | \(\displaystyle{62,000\%}\) |

B | \(\displaystyle{6,200\%}\) |

C | \(\displaystyle{62\%}\) |

D | \(\displaystyle{6.15\%}\) |

E | \(\displaystyle{620\%}\) |

Question 4 Explanation:

\(6\frac{1}{5}=6.2\) Move the decimal two places to the right (same as multiplying by \(100\)), and there you go!

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