TAKS Jeopardy Review Direct Variation Functions.

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TAKS Jeopardy Review

Direct Variation

Functions

Probability

Solving for Variables

Areas and Lines

Solving for X

JeopardyDirect

VariationFunctions Probability

Solving for Variables

Areas and Lines

Solving for X

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Final Jeopardy

$100 Question Direct Variation

• What letter represents “varies directly?”

$100 Answer Direct Variation

• K

Return

$200 Question Direct Variation

• The distance traveled by a plane varies directly with the square of the wind speed. Write an equation to model the problem.

$200 Answer Direct Variation

• D = ks2

Return

$300 Question Direct Variation

• The distance traveled by a car after the breaks are applied varies directly with the square of the speed. A car traveling at 30 mph has a breaking distance of 24 feet. Find the breaking distance of a car traveling 45 mph.

$300 Answer Direct Variation

• 54 feet

Return

$400 Question Direct Variation

• The amount of material needed to cover a ball varies directly with the square of the radius. Find the radius of a ball that needs 366 square centimeters of material to cover it. The variation constant is 12.56.

$400 Answer Direct Variation

• 5.4cm

Return

$500 Question Direct Variation

• The cross sectional area of a tree trunk varies directly with the square of its age. A tree with a cross sectional area of 49 square inches is 11 years old. What is the cross sectional area of a tree that is 18 years old?

$500 Answer Direct Variation

• 131.22 in2

Return

$100 Question Functions

• How can you tell if a graph is a function?

$100 Answer Functions

• It passes the Vertical Line Test (VLT)

Return

Daily Double

Daily Double Question

• F(x) = -5x2-5x-3, find f(3)

Daily Double Answer

• F(5) = -153

Return

$300 Question Functions

• F(4) = 2 and F(7) = 5 Write an equation to model the points in F(x) = mx+b

$300 Answer Functions

• F(x) = x-2

Return

$400 Question Functions

• What kind of a function is

F(x) = -3x2+4x-2?

$400 Answer Functions

• Quadratic

Return

$500 Question Functions

• What is the range of a function?

$500 Answer Functions

• The range is all y values of the graph or how far down and up a graph goes.

Return

$100 Question Probability

• How many ways to arrange the word MATHEMATICS?

$100 Answer Probability

• 4,989,600

Return

$200 Question Probability

• The GlenOak Chess Club has 9 members. 3 of these members will be chosen for an elite team. How would you compute the possible total?

$200 Answer Probability

• 9C3

Return

$300 Question Probability• Two dice are rolled. Find P(sum is 9)

$300 Answer Probability

9

1

Return

$400 Question Probability

• The eleven member Board of Directors of a company wants to elect a President, Vice President, Secretary, Treasurer, and Historian from 11 members. How many different ways can this be done?

$400 Answer Probability

• 55,440

Return

$500 Question Probability

• Mrs Yoskey has a bag of 2 red, 6 blue, 3 yellow, and 4 green marbles. She reaches in and pulls out 2 marbles without putting them back in. Calculate P(2 yellow marbles)

$500 Answer Probability

• 1/35 or 2.8%

Return

$100 Question Solving for Variables

• Y = mx+b, solve for x

$100 Answer Solving for Variables

m

byx

Return

$200 Question Solving for Variables

wdV 2

• Solve for d.

$200 Answer Solving for Variables

w

Vd

Return

$300 Question Solving for Variables

bhA2

1

• Solve for b.

$300 Answer Solving for Variables

h

Ab

2

Return

$400 Question Solving for Variables

2

2

1

1

T

V

T

V

• Solve for V1

$400 Answer Solving for Variables

2

211 T

VTV

Return

$500 Question Solving for Variables

g

lP 2

• Solve for g.

$500 Answer Solving for Variables

2

2

P

lg

Return

$100 Question Areas and Lines

• Perpendicular lines have what kind of slope?

$100 Answer Areas and Lines

• Negative Reciprocals

Return

$200 Question Areas and Lines

• Write an equation of a line that goes through (-6,-6) and it perpendicular to the line y=2x-2

$200 Answer Areas and Lines

• y= - 1/2x - 9

Return

$300 Question Areas and Lines

• Does this system of equations have no solutions, one solution, or many solutions? -3x+6y = 12

X-2y = 6

$300 Answer Areas and Lines

• No Solutions because they are parallel lines.

Return

$400 Question Areas and Lines

• What is the length of the base of a trapezoid that has an area of 162 feet2 , a height of 6 feet, and a base of 40 feet?

$400 Answer Areas and Lines

• 14 feet

Return

$500 Question Areas and Lines

• Find the area of a sector that has an angle measure of 37o and a radius of 8 millimeters.

$500 Answer Areas and Lines

• 20.66 millimeters2

Return

$100 Question Solving for X

• XY = 27.6 Find x when y = 4.6

$100 Answer Solving for X

• X = 6

Return

$200 Question Solving for X

• Y = 4x3 Find x when Y = 12

$200 Answer Solving for X

• X =1.44

Return

$300 Question Solving for X

• Y = 2x2 Find x when Y = 12

$300 Answer Solving for X

• X = 2.45

Return

$400 Question Solving for X

• Solve for X using linear combination or substitution.

• 2X + 3Y = 18

• Y = 3X – 16

$400 Answer Solving for X

• X = 6

Return

$500 Question Solving for X

• Solve for X and Y using linear combination or substitution.-5x + 4y = 56

-4x – y = 7

$500 Answer Solving for X

• X = -4

• Y = 9

• (-4,9)

Return

Final Jeopardy Topic

• Averages

Final Jeopardy Question

• Amy’s average on her first six tests in Math 2 is a 79%. What grade does she need on her 7th test to raise her average to an 82%?

Final Jeopardy Answer

• 100%

Thank You for Playing