G8 Algebra - June 2023 Jeopardy Template

Quadratic Formula

Completing The Square

Factoring (Coefficient = 1)

Factoring (Coefficient > 1) or Mystery

Mystery

100

Use the quadratic formula

x² + 2x - 15

x = -5 or x = 3

100

Complete the square

x² - 3x - 10

x = 5, x = -2

100

x² + 5x + 6

x = -2, x = -3

100

Factor

4x² - 4x - 3

(2x + 1)(2x - 3)

so x = -1/2 or x = 3/2

100

Write down the quadratic formula

[-b +/- sqrt(b² - 4ac)]/2a

200

Use the quadratic formula

x² -15x + 56

x=7 or x=8

200

Complete the square

x² + 6x + 9

x = -3

200

Factor

x² - 12x + 27

x = 9, x = 3

200

Solve for x if

log₃(81) = x

3^x = 81

so x = 4

200

Solve for x if

2x² + 14x + 24 = 0

2x² + 14x + 24 = 0

2(x² + 7x + 12) =

2(x+3)(x+4) = 0

x = -3 or x = -4

300

Use the quadratic formula

2x² + 3x + 4

[-3 +/- sqrt(-23)]/4

300

Complete the square

x² - x - 8.75

x = 3.5, x = -2.5

300

Factor

x² - 7x - 30

x=10, x= -3

300

Solve for x if

log₂(16) = x

2^x = 16

so x = 4

300

Solve for x if

log₁₀(x) = 3

10³ = x

so

x = 1,000

400

Use the quadratic formula

x² + 8x + 9

[-8 +/- sqrt(28)]/2

400

Complete the square

x² - 3x + 2

x = 1, x = 2

400

Factor

x² - 2x - 35

x = -5, x = 7

400

Factor

6x² - 1x - 7

(6x - 7)(x + 1)

so x = 7/6 or x = -1

400

Compute the sum:

1 + 2 + 3 + ... + 48 + 49 + 50

1 + 2 + 3 + ... + 48 + 49 + 50 =

50(51)/2 = 25*51 = 1,275

500

Use the quadratic formula

x² - x + 1

[1 +/- sqrt(-3)]/2

500

Complete the square

x² + 2x - 63

x = 7, x = -9

500

Factor

x² - 12x + 32

x = 4, x = 8

500

Compute the sum

3 + 6 + 9 + ... + 297 + 300

3 + 6 + 9 + ... + 297 + 300 =

3 ( 1 + 2 + 3 + ... + 99 + 100) =

3 (100)(101)/2 = 15,150

500

Factor

6x² - 60x + 126

6x² - 60x + 126 =

6(x² - 10x + 21)

6(x - 3)(x - 7)

so x = 3 or x = 7