Simplifying Rational Expressions
Graphing and Variation
Functions and Expressions
Equations
Logarithms and Exponential Functions
100
Simplify:
(2a^2 +10a) / (3a^2 + 15a)
What is 2/3
100
What do domain and range represent?
What is the possible x and y values given a function
100
((5x) / (x + 3)) + (15 / (x + 3))
What is 5
100
Solve
log(2x) = log(20)
x = 20
100
solve
log(base 15)(x) = 4/3
What is
36.99
200
(x^2+x−6) / (x^2 +8x+15)
What is (x-2) / (x+5)
200
Graph
y = log6x
200
(x^2 / (x + 5)) + ((7x + 10) / (x + 5))
What is x + 2
200
Solve
log(40) - log(x) = log(5)
x = 8
200
Consider below, write the solution as a logarithm:
5^x = 30
What is
log 30/log 5
300
((4x+20) / x^2 ) * ((x^2+x) / (2x+10))
What is 2(x+1) / x
300
Graph
y = - 4^x
300
((x + 6) / (x^2 - x - 20)) + ((2x - 21) / (x^2 - x - 20))
What is 3 / (x + 4)
300
INVESTING
An initial investment of $4000 grows compounded continuously with an annual interest rate of 4%. How much will be in the account after 10 years?
What is $5967. 30
300
Write the following in log form(ln)
e^4= 12x
ln12x = 4
400
3/((1/x)-(1/y))
What is 3xy / (y-x)
400
If Mr. Hessinger types 80 words in 4 minutes, how many words would he type in 20 minutes? What type of variation is this?
What is 400 words and it is direct variation.
400
Find the inverse for
f(x) = x^2+4x - 1
What is
f(x)^-1= -2+ or -sqrt(x+5)
400
4(2x+1)^(2/3) - 4 = 5
x = 1.1875
400
Write the following as a single logarithm:
2Ln12 - ln 6 + ln 10
What is
ln(240)
500
(3x^2 + 14x - 24) / (4x^2 + 25x + 6)
What is (3x-4) / (4x+1)
500
What is excluded from the domain of the function below:
((x+2)(x-4))/(x^2-6x -16)
What is 8 and -2
500
((2y + 3) / (2y^2 - 7y - 4)) + ((2) / (y - 4))
What is 6y+5/(2y^2-7y-4)
500
(3x) / (x + 1) = (12 / (x^2 - 1)) + 2
x = -2 and 5
500
Solve for x
9^(2x) = 81^(2x-4)
What is 4