Log Properties
Solve for x: log99(-2x+5)=log99(145)
(45 seconds)
What is x=-70?
Define an asymptote
What is a line that a function approaches but never intersects?
Solve:
y=2x+4
y=3x+2
(1 minute)
What is (2,8)?
Simplify:
(p+4)/
(p2+6p+8)
(1 minute)
What is 1/(p+2)?
Solve for x: x9=512
(30 seconds)
What is x=2?
The equation for an exponential function that passes through the points (1,6) and (2,1.8) with an asymptote of y=0.
(1.5 minutes)
What is y=20(.3)x?
Solve:
7x−8y=−12
−4x+2y=3
(1.5 minutes)
What is (0, 1.5)?
(x2−2x−15) / (x2−6x+5)
(1.5 minutes)
What is (x+3) / (x-1)?
Solve for x: 4(5x)=44
(1 minute)
What is x=log(11)/log(5)
The equation for an exponential function that passes through the points (0,10) and (1,7.6) with an asymptote of y=-2
(1.5 minutes)
What is y=12(.8)x-2?
Solve:
2x+y-3z=0
4x+2y-6z=0
x-y+z=0
(2 minutes)
What is infinite solutions?
Simplify:
[(2b2 − 12b)/(b+5)] / [(b-6)(b+5)]
(2 minutes)
What is 2b?
Solve for x: .5(3x)+7=128.5
(1 minute)
What is x=5?
Yesterday, Blue the dog had a playdate with Magenta. When she came home, her owner, Steve noticed she had fleas! The amount of fleas is growing exponentially and can be represented by the equation y=5(2.5)x. When will Blue have approximately 195 fleas? Solve algebraically. Your answer should be in weeks.
What is 4 weeks?
Solve:
x + 2y – 3z = -3
2x + y + z = -2
2x – y + 4z = 4
(2.5 minutes)
What is (3,-6,-2)?
Simplify:
[3/(n-5)] + [6/(3n-8)]
(1.5 minutes)
What is 3(5n-18) / [(3n-8)(n-5)]?
Solve for x: log2(x+24)+log2(x-24)=2
(2 minutes)
What is x=24?
On Thursday morning, Katy Perry decided to take a stroll outside. The weather was a nice 80℉. She walked 10 minutes down the block to Dunkin' Donuts and ordered a cappuccino at 175℉. By the time she got back home, the cappuccino was only 155℉. When will the cappuccino be 120℉?
(3 minutes)
What is 35.6?
(3.5 minutes)
What is y=-2x2+4x-1?
Simplify:
[(5n+5)/(5n2+35n-40)] + (7n/3n)
(2.25 minutes)
What is (52n-53+7n2)/[3(n+8)(n-1)]?