Algebra II

Logarithmic Equations

100

Re-write this in logarithmic form

5²=6

Log₅6=2

200

Solve using the change of base formula

Log₇₁297=?

1.3357

300

Make as simple as possible.

7 * (Log₃27+Log₃2) = Log₃16-Log₃4

Log₃54⁷=Log₃4

400

What is x equal to?

3^x=17

x=2.5789

500

What is n equal to?

9ⁿ⁺¹⁰ +3 =81

n=-8.0171

Types of Functions

100

What type of equation is this?

y=c

Constant

200

What type of functions is this?

ax² + bx + c = 0

Quadratic

300

What type of function is this?

y= √x

Square root

400

What type of function is this?

y=∛x

Cubic Root

500

What type of function is this

y= 1 over x (y=1/x)

Reciprocal Function

Quadratic Equations

100

Write a quadratic equation where 

A= 2 B=-25 C= 32

2x² - 25x + 32

200

Solve using x-box:

x² - 5x - 84 = 0

X=-7

x=12

300

Solve using completing the square:

x² - 6x - 16 = 0

x= -2,8

400

Solve using any method:

x² + 2 - 15 = 0

X= 3, -5

500

Solve using the Quadratic Formula

x² - 8x = -12

X= 6

X= 2

Other Equations

100

Solve for x:

x=√-64

x=8i

200

(x²)⁴

x⁸

300

Solve a growth formula with the following variables:

Initial amount=1800 Growth Rate=7% Time=15

F(15)=1,800(1.07)15

F(15)=4966.26

400

Solve:

2|x-5|+3=7

x=7

500

Solve:

Laura deposited $12,000 into an account that earns 8% interest. How much money will she have in 5 years of the interest is compounded quarterly?

$12,831.37