Question | Answer | Hint |

| |

A. What is the halfway point between the marks of 3/8 in and 1 1/4 in on a ruler? | |

_{Express the answer as a fraction.} | |

B. What is f(g(2)), if f(x) = x + 4 and g(x) = 5x ? | |

| |

C. What is the area of a triangle with two sides of length 10 and 6, and included angle of 45^{o} ? | |

_{Answer in the form of 'a sqrt b'} | |

D. How much material is used in an insulating sleeve for coffee that contains 45% less material than a paper cup made of 26 in^{2} of paper? | |

| |

E. How many points of intersection are there for y = x^{2} and y = 3x + 8 ? | |

| |

F. Identify the integer whose square root can be approximated to the nearest tenth by 1.7. | |

| |

G. What must be the value of the x-coordinate associated with the y-coordinate of 10 on a line with slope 1/2 that passes through the point (5, 8)? | |

| |

H. If y = sin (bx), what value of b will give a period of 20? | |

| |

I. Expressed as x to a power, what is x^{2a+b} / x^{-b - 4} ? | |

| |

J. What is the derivative with respect to x of ln e^{7x2} | |

| |

A. What is the halfway point between the marks of 3/8 in and 1 1/4 in on a ruler? | |

B. What is f(g(2)), if f(x) = x + 4 and g(x) = 5x ? | |

C. What is the area of a triangle with two sides of length 10 and 6, and included angle of 45^{o} ? | |

D. How much material is used in an insulating sleeve for coffee that contains 45% less material than a paper cup made of 26 in^{2} of paper? | |

E. How many points of intersection are there for y = x^{2} and y = 3x + 8 ? | |

F. Identify the integer whose square root can be approximated to the nearest tenth by 1.7. | |

G. What must be the value of the x-coordinate associated with the y-coordinate of 10 on a line with slope 1/2 that passes through the point (5, 8)? | |

H. If y = sin (bx), what value of b will give a period of 20? | |

I. Expressed as x to a power, what is x^{2a+b} / x^{-b - 4} ? | |

J. What is the derivative with respect to x of ln e^{7x2} | |