Exponents
y = -2^(-x+3) +2
What transformations took place?
1) Reflect over X and Y
2) Right 3
3) Up 2
y = log(-(x-2))+1
List the transformations
1) reflect over y
2) right 2
3) up 1
Log (base 2) 8 = Log (base 8) 2
True or False
False
100 g Ion decays at 4% rate what is the Half Life?
Formula = y = a(1-r)^t
Round to nearest hundredth (45 sec)
16.98 years
A solution with 5.5 * 10^-2 M of HBr what is the pH?
Round to hundredth
1.26
27^2x-1 = 2187^3x
Solve
x = -1/5
log (base e) X = ln X
True or False
(10 sec)
True
log (base 3) 10
Use log of base to solve and round to nearest thousandth (15 sec)
2.096
A game costs $4000 and you have $2000 to invest and it has a 3.15% annual interest compounded monthly, how long would it take?
Round to hundredth.
22.03 years
A solution is 2.5 * 10^-4 M HCl what is the pH and pOH?
pH = -log[H+]
pH + pOH = 14
pH =3.6
pOH = 10.4
4^(x^2+7x) * 4^6 = 16^x
Solve
X = -3,-2
Log (base 2) (X^2+2) - 2 Log (base 2) X + Log (base 2) y^2 - Log (base 2) Z^2
Condense
Log (base 2) ((y^2*x^2 + 2y^2)/(z^2*x^2))
log (base 20) 100
Use change of base and round to nearest thousandth (15sec)
1.537
Suppose you didn't know the starting value and the value of t was 10 what is p? (This is a add on of 200)
Round to nearest whole number
$2920
A cake has a temp of 400F, the room temp is 75F after 12 minutes the cake is 325F, what is the rate?
T(t) = (T - A)e^kt +A
Round to nearest thousandth
-0.022
Log3x^2-16x+69 = 2
Convert to exponential form and solve
X = 10, 6
ln ((x^3*y^2*Z)/W*T^2)
Expand
3ln x +2 ln y + ln Z - ln W - 2ln T
log (base 4) 9.2 = 2x +1
solve (round to nearest thousanth)
x = 0.301
After 24 days 2mg of 128 mg sample remains what is the Half Life?
4 days
Add on of previous question.
What is t when the temp is 150F
Round to hundredth
Rapid Round (25 sec)
66.96 mins
3^(x^2 + 10x) * 3^(-4x+5) = 9^x
Solve
x= -2+i, -2-i
ln 2x^2+8x+12 = ln x^2 + x
solve (RAPID ROUND)
20 Sec
x = -4,-3
What is log (base 2) C * log (base C) 2
Rapid Round 10 sec
1
round to nearest hundredth.
65.75 min
Make your own question and solve.
75 seconds
It can vary