Chapter 12 Test Review

Laws of exponents

100

(y⁵x⁶)⁴

y²⁰x²⁴

200

(2x³y²)(3xy⁵)

6x⁴y⁷

300

5(x⁴)^.5 + (3x)²

14x²

400

5(2x³y²z⁴)⁶

320x¹⁸y¹²z²⁴

500

(4x³y³)² (3xy)³

432x⁹y⁹

Simplify the Radical

100

x square root of(x¹¹)

x⁶ square root of(x)

200

4 sqrt(96)

16 sqrt(6)

300

2y sqrt(175x⁴y⁷)

10x²y⁴ sqrt(7y)

400

(9 sqrt(x⁸))(8 sqrt(y³))  

72x⁴y sqrt(y)

500

2y (sqrt(27x⁶y²)) (4x sqrt(1/3 x⁷))  

24x⁷y² sqrt(x)

Solve the Equation using square roots

100

3x² = 147

x = 7

200

4x² + 3x² = 1575

x = 15

300

x² - 52 = -16

x = 6

400

(16x⁴)^.5 = 256 

x = 8

500

6x² + (81x⁸)^.25 = 729

x = 9

What is the Discriminate

100

What is the formula of the discriminant

b² - 4ac

200

the discriminate is equal to 0. How many solutions are possible?

1 solution

300

What is the discriminant? How many solutions does this quadratic equation have?  10x² - 40x + 40 = 0

= 0; 1 solutions

400

What is the discriminant? How many solutions does it have?  -3x² - 4x - 1 = 0

= 4; 2 solutions

500

What is the discriminant? How many solutions does this quadratic equation have?  -4x² + 8x - 9 = 0

= -80; 0 solutions

Solve Using the quadratic formula

100

What is vertex form?

ax² + bx + c = 0

200

What is the Quadratic Formula

-b +/- the square root of b² - 4ac divided by 2a

300

10x² - 20x + 8 = -2

x = 1

400

-x² + 7x - 2 = 9

x = 2.38

x = 4.62

500

6x² - 12x + 5 = -10

x = 1.41

x = .59