Intermediate Algebra Review

Write the following equation in logarithmic form:
3⁵ = 243

• log₃5 = 243

• log₂₄₃3 = 5

• log₅243 = 3

• log₃243 = 5 

In the equation (x-3)²+(y-2)²=16, the center of the circle is...

• (3,2)

• (-3, -2)

• (-2, -3)

• (2, 3)

Which graph corresponds to (x+2)²+ (y-3)²=36

• A

• B

• C

• D

Change the following equation to standard form
x²+y²-4x+12y-8=0

• (x+2)²+(y-6)²=48

• (x-2)²+(y+6)²=48

• (x-6)²+(y-2)²=48

• (x+2)²+(y-6)²=48

Find the product

• 2(x+8) / (x-2)

• (x-2)

• (x+4) / (x-6)

• (x-4) / (x+8)

• A.

• B.

• C.

• D.

What is the length of the hypotenuse?

• 16

• 30

• 34

Simplify

• (x-9)/(x+9)

• 1/(x-9)

• (x+9)

• 1/(x+9)

Simplify. 

• (x+6)/(x+4)

• (x+6)(x+4)

• (x+6)

• (x+6)/(x-5)

Multiply the Rational Expression

• A

• B

• C

• D