Quadratics Jeopardy

Factoring

1

Solve this equation by factoring: x^2-8x+15 = 0

What is x = 3 and x = 5

2

Solve this equation by factoring: x^2-16 = 0

What is x = 4 and x = -4

3

Solve the following equation by factoring: 2x^2 + 20x + 42 = 0

What is x = -3, x = -7

4

Solve the following equation by factoring: x^3+ 4x^2 +3x = 0

What is x = 0, x = -1, x = -3 For 3 Bonus Points WHY????

5

Solve the following equation by factoring: 7x^2 -36x +5

What is x = 5 and x =1/7

Completing the Square/Write in vertex form

1

Write the following in vertex form: X^2 + 18x +81

What is (x+9)^2 + or - 0

2

What is the vertex of the following equation? WITHOUT GRAPHING!!!!! *State the coordinates and whether it is a max or min* 3(x-1)^2 +2

What is A minimum at (1,2)

3

Solve the following equation by completing the square: x^2-4x-6 = 0

What is 2 + sqrt(10) and 2- sqrt(10)

4

Solve the following equation by completing the square: 2x^2 = 12x +54

What is x = 9, x = -3

5

Solve the following equation by completing the square: 3x^2 + 12x + 18 = 0

What is x = -2 +i sqrt(2) x = -2 - i sqrt(2)

Word Problems (dun dun dunnnnnnn)

1

A football throw can be measured by the function: y = -(x^2 + 1x -12) where x represents seconds after thrown, and y represents the height of the football. How long does it take the football to reach the ground again???

What is x = 3 seconds

2

Solve the following word problem by using a quadratic equation: A bungee jumper decides to try a jump off of a new bridge. His jump can be measured by the function:y = 2x^2 -8x -12. Here, x represents time in seconds, and y represents his height in feet. When will the bungee jumper reach the lowest point in his journey??? *HINT*: Find the x coordinate of the vertex!

What is When x = 2 seconds

3

Solve the following word problem using a quadratic function: An object in launched directly upward at 64 feet per second (ft/s) from a platform 80 feet high. What will be the object's maximum height? When will it attain this height? *HINT*: use the function s(t) = -16t^2 + 64t +80

What is Maximum coordinate is (2, 144) so when t = 2, the maximum height is 144 feet.

4

Solve the following word problem using a quadratic equation: An object is launched at 19.6 meters per second (m/s) from a 58.8-meter tall platform. The equation for the object's height s at time t seconds after launch is s(t) = –4.9t2 + 19.6t + 58.8, where s is in meters. When does the object strike the ground?

What is We are looking for when s(t) = 0, so that is when t = 6 or t = -2 BUT, only t = 6 works! Why???

5

Solve the following word problem by using a quadratic equation: Abigail tosses a coin off a bridge into the stream below. The distance the coin is above water (in feet) is represented by the equation y = -16x^2 +96 x + 112, where x represents time in seconds. What is the highest point the coin will reach above the water?

What is 256 feet

Quadratic Formula

1

Solve the following equation using the quadratic formula: x^2 -14x +45 = 0

What is x = 9,and x = 5

2

Solve the following equation using the quadratic formula: 4x^2 + 8x - 77 = 0

What is x = -5.5 and x = 3.5

3

Solve the following equation using the quadratic formula: k^2 - 10k + 35 = 7k - 35

What is k = 7 and k = 10

4

Solve the following equation using the quadratic formula. Reduce your answer as much as possible! 6n^2 + 4n - 20 = -n^2

What is n = 10/7 and n = -2

5

Solve the following equation by quadratic formula. Simplify your answer as much as possible! 10x^2 -12x + 11 = -x^2 + 2x -7

What is ( 7 + i sqrt(131)/11) and (7 - i sqrt(131)/ 11)

Identifying KeyFeatures

1

What are the x -intercepts and y intercept of the following function? (x-6)(x+7)

What is (6,0) & (-7,0) (0,-42)

2

State the vertex, x-intercepts, and y intercept of the following function: (x+3)^2 - 4

What is Vertex: (-3, -4) X-intercepts: x = -1, x = -5 Y-intercept: (0,5)

3

Given the following key features, write the corresponding equation in all 3 forms: (standard, factored, and vertex) X intercepts at x = -7 and x = 1 Y intercept at y = 7 Maximum at (-3, 16)

What is Standard: -x^2 -6x + 7 Factored: - (x+7)(x-1) Vertex: -1(x+3)^2 + 16

4

Create an equation that satisfies the following key features: Y- intercept and (0, 13) Minimum at (3, 4)

What is (x-3)^2 +4 or x^2 -6x +13

5

Create an equation that satisfies the following key features, then fill in the y-coordinate of the minimum: Roots at x = -4 and x = -8 Stretches vertically by 3 times as much Has a minimum at x = -5.5

What is 3x^2 + 33x +72, or 3(x^2 + 11x +24) Minimum is (-5.5, -18.75)