Algebra 1: Solving Quadratic Equations Jeopardy

Solve each equation by factoring.

100

p² + -2p - 10 = 5

5, -3

200

9n² + 39n = -36

-4/3, -3

300

7r² + 84 = -49r

-4, -3

400

3v² + 7v = 40

8/3, -5

Solve using square roots.

100

4x² + 25 = 125

x= 5 or x = -5

200

(4x + 1)² - 16 = 0

x = 3/4 or x = -5/4

300

34 = (a - 2)² - 2

a = 8 or a = -4

400

0 = 3(x + 7)² - 24

x = -7 + 2 square root of 2

or

x = -7 - 2 square root of 2

Solve each equation with the quadratic formula

100

m² − 5m − 14 = 0

{7, −2}

200

b² − 4b + 4 = 0

{2}

300

2x² − 3x − 5 = 0

{5/2 , −1}

400

9n² = 4 + 7n

{ 7 + square root of 193 / 18, 7 - square root of 193 / 18}

☠Pick your Poison (choose method)

100

a² + 14a - 51 = 0

{3, -17}

200

x² − 12x + 11 = 0

{11, 1}

300

n² = 18n + 40

{20, −2}

400

x² − 10x + 26 = 8

{5 + square root 7, 5 square root − 7}

Characteristics

100

Refer to the quadratic function given on another tab. Describe the domain and range of the function

Domain: All Real Numbers

Range: y < or equal to 1

200

Refer to the quadratic function given on another tab. Describe the domain and range of the function.

Name the vertex, axis of symmetry, y-intercept, and zeroes of the function.

Vertex: (-2, 1)

Axis of Sym: x=-2

Y-intercept: (0,-3)

Zeroes: x= {-3, -1}

300

Refer to the quadratic function given on another tab. 

Describe the intervals of increase and decrease, and where the function is positive and negative.

Increase: x < -2

Decrease: x >-2

Positive: -3 < x < -1

Negative: x<-3 and x>-1

400

Refer to the quadratic function given on another tab.

Describe the extrema, max/min values, and end behavior of the function

Extrema: Maximum

Max: y = 1

End behavior: As x->+ and - infinity, y-> - infinity