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INEQUALITY JEOPARDYGraphing Zero,
Positive, or Negative?
Be Rational Inequalities
100 100 100 100200 200 200 200300 300 300 300400 400 400 400500 500 500 500
RULES – DOUBLE JEOPARDY
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RULES• Players: 2-3• Players play rock, paper, scissors to determine who chooses which question first and
second.• After choosing who goes when, the first player picks the first question under any
category.• If the question is answered correctly, the player earns whatever number of points the
question is. (i.e. graphing for 500 = 500 points)• If the question is answered incorrectly, the player loses however many points the
question is.• During Daily Double, the point amount for the question is doubled. (i.e. 200 regularly =
400 points for DD)• You may use a calculator.• At the end of the game, there is one final question, Double Jeopardy. Players can bet
200-1000 points (that they currently have) on the question, and if answered correctly, they earn that point amount. If answered incorrect, the points are lost.
• Whoever has the most points wins.• Calculators are allowed only in graphing.
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GRAPHING - 100
True/False: Rational Inequalities have asymptotes when
graphed?Answer
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True
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GRAPHING - 200
Solve the inequality:
3x³ - 2x² - x ≤ 0Answer
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(-∞, 0] U [0, 1]
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GRAPHING - 300
Solve the inequality:
2x⁴ - 3x³ - 6x² +5x +6 < 0Answer
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(1.5, 2)
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GRAPHING - 400
Draw a graph of the inequality:
(x³ - x)/(x²+1) ≥ 0
Answer
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DAILYDOUBLE
Question
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GRAPHING - 1000
A box-making company wants to make a box with a volume of 350 inches³ or less.
The sides of the boxes will be no more than 18 inches by 24 inches with the flaps folded up to make a box. What size squares should be cut out? Write an equation and draw a
graph of the function.
Answer
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F(x) = X(18-2x)(24-2x) Y = 350
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ZERO, POSITIVE, OR NEGATIVE? - 100
Find the zeros of the Equation:
F(x) = (x – 7)(3x + 1)(x+4)
Answer
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-4, -1/3, 7
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ZERO, POSITIVE, OR NEGATIVE? - 200
Find the zeros of the equation: f(x) =x³ - x² - 2x
Answer
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(-1, 0) (0,0) (2, 0)
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ZERO, POSITIVE, OR NEGATIVE? - 300
Find the positives of the equation: f(x) = (x + 7)(x + 4)(x – 6)²
Answer
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(-∞, -7) (-4, 6) (6, ∞)
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ZERO, POSITIVE, OR NEGATIVE? - 400
Draw a sign line of the equation:
2x – 1(x+2)(x-1)
Answer
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-2 0.5 1
+- + +
Undefined 0 0
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ZERO, POSITIVE, OR NEGATIVE? - 500
Find the negatives of the equation:
f(x) = (2x + 5)√x-3(x-4)²
Answer
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None
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BE RATIONAL- 100
Where can you find the undefined number values in a rational inequalities
function?Answer
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The denominator
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BE RATIONAL- 200
Solve:X+2
(x²-9)
Answer
< 0
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(-∞, -3) (-2, 3)
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BE RATIONAL- 300
Solve:x²-2x-15
X-2
Answer
≥ 0
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[-3, 2) U [5, ∞)
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BE RATIONAL- 400
Solve:
Answer
x|x-2| > 0
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(0, 2) U (2, ∞)
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BE RATIONAL- 500
Solve:
Answer
(2x-1)√x+4 <0
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(-4, 0.5)
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INEQUALITIES- 100
Answer
≤ 0 means…
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Less than or equal to zero.
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INEQUALITIES - 200
Solve:(2x+1)(x-2)(3x-4) ≤ 0
Answer
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(-∞, -0.5] U [4/3, 2]
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INEQUALITIES - 300
Solve:(2x-7)(x²-4x+4) >
0Answer
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(-∞, -0.5] U [4/3, 2]
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INEQUALITIES - 400
Solve:(2x³-3x²-11x+6) ≥
0Answer
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(-2, 0.5] U [3, ∞]
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INEQUALITIES - 500
Solve:(2x²-2x+5)(3x-4)
> 0Answer
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X =/= 4/3
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DOUBLEJEOPARDY
Question
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DOUBLE JEOPARDY
• Del Monte Fruit Company is packaging fruits in 0.5 L (500 cm³) cylindrical cans.– Find the dimensions of the can if the
surface is less than 900 cm²–Find the least possible surface area
of the can.
Answer
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R = [1.12cm, 11.37cm]H = [1.23cm, 126.88cm]
About 348.73 cm²
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