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

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

GRAPHING - 200

Solve the inequality:

3x³ - 2x² - x ≤ 0Answer

(-∞, 0] U [0, 1]

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GRAPHING - 300

Solve the inequality:

2x⁴ - 3x³ - 6x² +5x +6 < 0Answer

(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

GRAPHING - 1000A 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

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

ZERO, POSITIVE, OR NEGATIVE? - 200

Find the zeros of the equation: f(x) =x³ - x² - 2x

Answer

(-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

(-∞, -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

ZERO, POSITIVE, OR NEGATIVE? - 500

Find the negatives of the equation:

f(x) = (2x + 5)√x-3(x-4)²

Answer

None

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BE RATIONAL- 100

Where can you find the undefined number values in a rational inequalities

function?Answer

The denominator

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BE RATIONAL- 200

Solve:X+2

(x²-9)

Answer

< 0

(-∞, -3) (-2, 3)

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BE RATIONAL- 300

Solve:x²-2x-15

X-2

Answer

≥ 0

[-3, 2) U [5, ∞)

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BE RATIONAL- 400

Solve:

Answer

x|x-2| > 0

(0, 2) U (2, ∞)

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BE RATIONAL- 500

Solve:

Answer

(2x-1)√x+4 <0

(-4, 0.5)

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INEQUALITIES- 100

Answer

≤ 0 means…

Less than or equal to zero.

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INEQUALITIES - 200

Solve:(2x+1)(x-2)(3x-4) ≤ 0

Answer

(-∞, -0.5] U [4/3, 2]

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INEQUALITIES - 300

Solve:(2x-7)(x²-4x+4) >

0Answer

(-∞, -0.5] U [4/3, 2]

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INEQUALITIES - 400

Solve:(2x³-3x²-11x+6) ≥

0Answer

(-2, 0.5] U [3, ∞]

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INEQUALITIES - 500

Solve:(2x²-2x+5)(3x-4)

> 0Answer

X =/= 4/3

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DOUBLEJEOPARDY

Question

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

R = [1.12cm, 11.37cm]H = [1.23cm, 126.88cm]

About 348.73 cm²

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