Final Review Jeopardy

Simplify Exponents

100

x⁶ x⁵

_x¹¹

200

5x^-4

5/x⁴

300

x³y⁶/xy⁴

x²y²

400

(xy²)^-12(xy³)⁹

y³/x³

500

(x³y)²(x⁴y³)²

x¹⁴y⁸

Slope

100

What is the slope of (1,-3) and (-2,5)

-8/3

200

Write an equation in point slope form for the line that has the slope -3 and containing the point (-2,5) 

-8/3

300

Is x=3 a vertical or horizontal line

vertical 

400

What is the slope of x+2y=6

-1/2

500

Convert the inequality to slope intercept form: 

3x-6y > 12

y<1/2x -2 

Radicals

100

√18

3√2

200

√-9

No solution 

300

√2√6

2√3

400

-√27

-3,3

500

√30

Cannot Be Simplified 

Factoring

100

64x²-49

(8x+7)(8x-7)

200

x²-5x+4

(x-1)(x-4)

300

2x²-5x+3

(2x-3)(x-1)

400

5x²+25x+30

5(x+2)(x+3)

500

3x²+7x+2

(3x+1)(x+2)

Misc.

100

      x² + 5x +6

 ______________

     x²+3x

    x+2

____________

       x

200

x² + 4x + 4     ÷    x + 2 

________________________

x² - 2x - 15      ÷   x + 3 

  x + 2

_________

  x - 5 

300

(6x³ + 8x² - 7x - 5) + (4x³ + 9x² - 4x + 12) 

10x³ + 17x² - 11x + 7 

400

(8x-5) (-3x+2)

-24x² + 31x - 10

500

Solve By Completing the Square: 

x² + 10x - 3 = 0 

x = -5 +_ 2 √7