Algebraic Expression - Elementary Maths - Exam, Exams of Elementary Mathematics

Main points of this past exam are: Algebraic Expression, Variables, Joe, Relationship, Explicitly, Women, Different Selections

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2012/2013

Uploaded on 03/31/2013

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Prof. S. Brick Math for Elem Ed II; Exam 1 Math 202
Fall ’03 section 102
Print your name:
Show all of your work, and explain your reasoning.
1. In five years time, Lisa will be 1/2 the age that Joe was three years ago. Explicitly defin-
ing any variables that you use, give an algebraic expression for this relationship between
their ages.
2. A club has 12 women and 15 men as members. A president, vice president and treasurer
must be selected. How many different selections are possible if the three officers cannot all
be of the same gender ?
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Prof. S. Brick Math for Elem Ed II; Exam 1 Math 202

Fall ’03 section 102

Print your name:

Show all of your work, and explain your reasoning.

  1. In five years time, Lisa will be 1/2 the age that Joe was three years ago. Explicitly defin- ing any variables that you use, give an algebraic expression for this relationship between their ages.
  2. A club has 12 women and 15 men as members. A president, vice president and treasurer must be selected. How many different selections are possible if the three officers cannot all be of the same gender?
  1. In the game of mOnEydicE two dice are rolled. If the sum is a seven you win $3 profit. If it is 5, 6, 8 or 9, you break even. Any other roll results in you losing $2. Find the expected value of the game to you as a player.
  2. Draw a line plot for the data 7, 12 , 8 , 12 , 11 , 12 , 10 , 9 , 10 , 11, and find the lower quartile, the median, and the upper quartile..
  1. Find the probability of drawing 3 hearts from a deck of cards.
  2. Find the equation through the point (2, −1) and parallel to 3y + 5x = 120. Sketch a graph showing both lines and the point (2, −1).
  1. A coin is flipped three times. Determine mathematically if the events “there are two heads’ and “the first flip was heads” are independent or dependent.
  2. A farmer has 150 animals, cows and chickens. All together these animals have 426 legs. How many cows does the farmer have? How many chickens? (Hint- each cow has 4 legs and each chicken 2 legs.)