The Algebra Finale!

factoring

100

5x³y² - 10xy²

5xy²(x² - 2)

200

x² + 7x + 12

(x + 3)(x + 4)

300

25x² - 49

(5x - 7)(5x+7)

400

2a² +8ab - 3a -12b

(2a - 3)(a + 4b)

500

6x² +13x +5

(2x+1)(3x+5)

solving equations

100

12v + 10v + 14 = 80

v = 3

200

x² = 49

x = -7 and x = 7

300

3^x = 81

x = 4

400

4x² - x = 0

x = 0 and x = 1/4

500

5n³ - 30n² + 40n = 0

n = 0, n = 2, n = 4

formulas

100

area of a circle

pi(r²)

200

slope

y_{1 -} y₂ / x₁ - x₂

300

volume of a cylinder

pi(r²)h

400

quadratic formula

Mrs. M will check

500

arithmetic sequence

a_{n =} a₁ + (n - 1)d

simplify

100

(5x³)(2x⁴)(x⁸)

10x¹⁵

200

square root of 128

8(square root of 2)

300

2(square root of 6) - 5(square root of 54)

-13(square root of 6)

400

(-3x⁶y⁴)^-2

1/(9x¹²y⁸)

500

5/(2 + square root of 7)

10 - 5(square root of 7)/-3

systems of equations

100

y = -x + 3

x = 2

(2, 1)

200

x + y = 3

2x + 2y = 6

infinitely many solutions

300

y = x - 4

-2x + y = 18

(-22, -26)

400

6x + 2y = 16

2x - y = 2

(2, 2)

500

2x - 3y = -5

5x + 2y = 16

(2, 3)