G8 Math Midterm Jeopardy

Imaginary/Complex Numbers

100

i² =

i² = -1

200

5i² * 2 =

5i² * 2 = -10

300

4i³ =

4i³ = -4i

400

(4 + i)(2 - 3i) =

(4 + i)(2 - 3i) = 11 - 10i

500

(4+i)(2-3i)(4i+2)(5i-1) =

(4+i)(2-3i)(4i+2)(5i-1) = -182 + 286i

Quadratics

100

What is the difference between a quadratic equation and the quadratic formula?

What is the difference between a quadratic equation and the quadratic formula?

Quadratic Equation: Ax² + Bx + C = 0

Quadratic Formula: x = -b +/- (sqrt(b²-4ac))/2a

200

x² - 12x + 32

Solve on the board by factoring

x² - 12x + 32

(x - 8)(x - 4)

x = 4, 8

300

x² + 2x + 12 = 0

Solve on the board using the quadratic formula.

x² + 2x + 12 = 0

x = -1 +/- sqrt(11)i

400

x² + 6x = -12

Solve on the board by completing the square.

x² + 6x = -12

x = -3 +/- sqrt(3)i

500

4x² + 8x + 32 = 0

Solve on the board by completing the square

4x² + 8x + 32 = 0

x = -1 +/- sqrt(7)i