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## Test Your Math Skills

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Question 1 |

Find all solutions, and simplify completely.
\[ 2x^2+6x=-3\]

A | \(\displaystyle{x=\frac{-6\pm\sqrt{3}}{2}}\) |

B | \(\displaystyle{x=\frac{-3\pm\sqrt{3}}{4}}\) |

C | \(\displaystyle{x=\frac{-6\pm\sqrt{12}}{4}}\) |

D | \(\displaystyle{x=\frac{-3\pm\sqrt{3}}{2}}\) |

E | \(\displaystyle{x=\frac{-3\pm\sqrt{15}}{2}}\) |

F | \(\displaystyle{x=\frac{-3\pm\sqrt{12}}{2}}\) |

Question 2 |

What is the slope of the tangent line to the graph of the curve \(x^3+ y^3 - 3xy = 13\) at the point \((2,-1)\)?

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

B | \(\displaystyle{5}\) |

C | \(\displaystyle{-\frac{1}{5}}\) |

D | \(\displaystyle{-5}\) |

E | \(\displaystyle{-4}\) |

Question 2 Explanation:

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Question 3 |

Adam has \(\$5,300\) invested in the stock market. This is \(10\%\) of his total savings. How much total has Adam saved?

A | \(\displaystyle{\$530}\) |

B | \(\displaystyle{\$53,010}\) |

C | \(\displaystyle{\$53,000}\) |

D | \(\displaystyle{\$53,100}\) |

E | \(\displaystyle{\$530,000}\) |

Question 4 |

Find the value of the improper integral below.
\[ \int_0^{\infty} \frac{x+1}{\left(x^2+2x+2\right)^2} dx\]

A | \(\displaystyle{\frac{1}{4}}\) |

B | \(\displaystyle{\infty}\) |

C | \(\displaystyle{0}\) |

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

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

Question 4 Explanation:

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