Math Wars: Jeopardy Final Review

Multi-Step Equations

100

-4x - 7 - 3x + 4 = 25

x = -4

200

70 = -7(3x - 1)

x = -3

300

11 - x = 51 - 6x

x = 8

400

9(x - 3) + 3x = 7x + 43

x = 14

500

7(x + 3) + 9 = 5(x - 2) - 3x

x = -8

Solving for Slope

100

(-4, 1) and (-2, -5)

m = -3

200

(4, 9) and (1, 6)

m = 1

300

(4, -7) and (-1, -7)

m = 0

400

(3, -3) and (-9, 5)

m = -2/3

500

(5, 4) and (5, -7)

m = undefined 

Exponent Rules

100

-21xy - 7xy

-28xy

200

(3x²)(6xy⁵)

18x³y⁵

300

(2a⁴b³c)⁴

16a¹⁶b¹²c⁴

400

(-3a⁶b²)³ + 12a¹⁸b⁶

-15a¹⁸b⁶

500

(5m²)(7m³n⁷) + (2m²n⁷)(m¹¹n²)

35m⁵n⁷ + 2m¹³n⁹

Simplifying Polynomials

100

(9x - 5y) + (3x + 2y - 7)

12x - 3y - 7

200

(x² - 4x + 3) + (3x² - 3x - 5)

4x² - 7x - 2

300

(6a² - 5a) + (a - 5a + 3a³)

3a³ + 6a² - 9a

400

(3m² + 7m - 1) - (m² + 2m - 5)

2m² + 5m + 4

500

(12 + 8k³ + 3k - 4k²) + (5k³ + 15 - k + 2k²)

13k³ - 2k² + 2k + 27

Factoring

100

14x + 35

7(2x + 5)

200

18x² + 42

6(3x² + 7)

300

x² + 7x + 10

(x + 5)(x + 2)

400

m² + 11m + 28

(m + 7)(m + 4)

500

c² + 4c - 45

(c + 9)(c - 5)