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##### Jeopardy!

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**Jeopardy!**Final Jeopardy!**Essential Skills**Systems Functions & Inequalities Quadratics Potpourri 100 100 100 100 100 200 200 200 200 200 300 300 300 300 300 400 400 400 400 400 500 500 500 500 500**Essential Skills**Systems Functions & Inequalities Quadratics Potpourri 100 100 100 100 100 200 200 200 200 200 300 300 300 300 300 400 400 400 400 400 500 500 500 500 500**There is the same number of boys and girls on a school bus**when it departs from school. At the first stop, 4 boys get off the bus and nobody gets on. After the first stop, there are twice as many girls as boys on the bus. How many girls are on the bus? Essential Skills - $100**Essential Skills - $200**In the figure below, three line segments meet at a point to form three angles. What is the value of x? (Not drawn to scale.)**Essential Skills - $300**• If p is an integer and 3 is the remainder when • 2p + 7 is divided by 5, then p could be • 2 • 3 • 4 • 5 • 6**Essential Skills - $500**How old was a person exactly 1 year ago if exactly x years ago the person was y years old?**Systems - $200**For how many ordered pairs of positive integers (x, y) is**Systems - $300**What is the value of k that satisfies both equations below?**Systems - $400**Edna and Nancy leave the house of a common friend at the same time and walk for 4 hours. Edna walks due east at the average rate of 4 kilometers per hour and Nancy walks due north at the average rate of 3 kilometers per hour. What is the straight-line distance between them, in kilometers, at the end of the 4 hours?**Systems - $500**In the xy-plane, line l passes through the origin and is perpendicular to the line 4x + y = k, where k is a constant. If the two lines intersect at the point (t, t + 1), what is the value of t?**Functions & Inequalities - $100**The figure below shows the graph of the function h. Which of the following is closest to h(5)? • 1 • 2 • 3 • 4 • 5**Functions & Inequalities - $200**In the xy-coordinate plane, line l is perpendicular to the y-axis and passes through the point (5, −3). What is an equation of line l?**Functions & Inequalities - $300**The total daily profit p, in dollars, from producing and selling x units of a certain product is given by the function p(x) as defined below, where b is a constant. If 300 units were produced and sold yesterday for a total profit of $1,900, what is the value of b?**Functions & Inequalities - $400**A regulation for riding a certain amusement park ride requires that a child be between 30 inches and 50 inches tall. Write an absolute value inequality that can be used to determine whether 0r not a child’s height h satisfies the regulation for this ride.**Functions & Inequalities - $500 Answer**(E) −8 ≤ xy ≤ 24**Quadratics - $100**• For what value of x is the statement above FALSE? • −3 • 0 • 1/3 • 1 • For no value of x**Quadratics- $100 Answer**(B) 0**Quadratics - $200**The figure above shows the graph of a quadratic function f that has a minimum at the point (1, 1). If f(b) = f(3), what is the value of b?**Quadratics - $300**• In the figure above, PQRS is a rectangle, and points Q and R lie on the graph of y = ax2, where a is a constant. If the perimeter of PQRS is 10, what is the value of a? Q R P S**Quadratics - $400***Daily Double!* The table above gives values of the quadratic function f for selected values of x. Write the quadratic function that defines f.**At time t = 0, a ball was thrown upward from an**• initial height of 6 feet. Until the ball hit the ground, • its height, in feet, after t seconds was given by the • function h below, in which c and d are positive • constants. If the ball reached its maximum height of • 106 feet at time t = 2.5, what was the height, in • feet, of the ball at time t = 1? Quadratics - $500**According to a certain recipe, 25 pounds of**flour are needed to make 300 rolls. At this rate, how many pounds of flour are needed to make 12 rolls? Potpourri - $100**Potpourri- $100 Answer**1 pound**A “simple square” is any integer greater than 1**• that has only three positive integer factors – • itself, its square root, and 1. Which of the • following is a simple square? • 121 • 100 • 81 • 64 • 33 Potpourri - $300