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Multiply & Divide Rational Expressions

100

Simplify: (x/3)⋅(6/x)

2

200

Simplify:  (x²−9)/(x+3)

x−3

300

 Simplify: (x/4)÷(2/x)

x²/8

400

Simplify: (X²−4)/(X²−x−6)

(x−2)/(x−3)

500

Simplify: (x²−1)/(x²+2x+1)⋅(x+1)/(x−1)

1

Exponential Growth & Decay

100

Identify: y=5(2)^X

Exponential growth

200

Identify: y=10(0.5)^x

Exponential decay

300

what does "r" represent: A=P(1+r/n)^nt

interest rate

400

You put $7500 into a saving account. The account earns 7% interest, compounded annually. How much will be in the account after 6 years?

$11,245.48

500

You deposit $3650 in an account that earns 4.8% annual interest compounded continuously. Find the balance of your account after 10 years and after 15 years.

$5898.63 and $7498.41

Radical & Rational Functions

100

Simplify: √16

4

200

Simplify: √50

5√2

300

Solve(find extraneous): √(44-2x)=x-10

x=14

400

Solve(find extraneous): x+2=√(x+22)

x=3

x=-6(extraneous)

500

Find: f(g(x)) and g(f(x))

f(x)=x-12

g(x)=x²+36

f(g(x))=x²+24

g(f(x))=x²-24x+180

Logarithm

100

Evaluate: log⁡10(100)

2

200

Rewrite in exponential form: log⁡3(9)=x

3^x=9

300

Solve: log⁡2(x)=5

x=32

400

Expand: log⁡(xy²)

log⁡x+2log⁡y

500

expand: 4log4(m)+3log4(n)-log4(p)

log4(m⁴n³/p)

Add & Subtract Rational Expressions

100

Simplify: 1/x+1/x

2/x

200

Simplify: 2/x+3/x

 5/x

300

Simplify: 1/x+1/y

x+y/xy

400

Simplify: 3/(x+1)−1/(x+1)

2/(x+1)

500

Simplify: 1/x+2/(x+3)

(3x+3)/(x²+3x)