CC Algebra ­ February Cumulative problems through Feb 18th.notebook February 29, 2016
Problem Set - January 19th
1. If 2x = a, then in terms of a, 2x + 6 equals
2. If 5x = b, then written as a single base, 625b equals
3. If 2x = a, then in terms of a 2 x - 7 equals
4. If 3x = b,then written as a single base, 243b equals
5. If g(x) = |x - 4| and h(x) = x3, find (h o g)(-2).
January 20th - Problem Set 1. Evaluate:
a. log327 =
b.log216 =
c. log93 =
e. log273 =
f. log16 4 =
g. logxx3 =
** d. log100
h. log91
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CC Algebra ­ February Cumulative problems through Feb 18th.notebook February 29, 2016
Problem Set - February 2nd
Given y = log2(x - 4) - 1, write the equivalent form of the equation solved for x.
Graph the equation.
State the x-intercept of the equation.
State the equation of the asymptote.
Problem Set - February 3rd
Identify the domain, y-intercept and x-intercept of the following.
y = log3(x + 9) - 4
Problem Set - February 4th
1. Sketch the graph of
Sketch the inverse of f(x).
To graph the inverse, you reflect the graph over the line _____________.
Find the value of f-1(7).
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CC Algebra ­ February Cumulative problems through Feb 18th.notebook February 29, 2016
Problem Set - February 8th - last two questions from the packet
5. If x =
then log x =
6. If logbx = 4logbm + 2 logbn - (logbp + ½ logbq), then x =
Problem Set - February 10th
State the domain of the following.
1. log3x = y
3. log2(3x + 4) = y
2. log4(x + 2) = y
*4. log(x - 6)2 = y
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CC Algebra ­ February Cumulative problems through Feb 18th.notebook February 29, 2016
Problem Set - February 11th
1. Solve for x.
2. Solve for x.
Problem Set - February 12th - -Changed to February 17th
1. Solve for x, round your answer to the nearest tenth.
a. 14 + 82x = 46
b.
Problem Set - February 18th
1. Evaluate each of the following.
f. log 10,000
g. logw w7
h. log .001
i. log2 .0625
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CC Algebra ­ February Cumulative problems through Feb 18th.notebook February 29, 2016
Problem Set - Feb 25th
1. Evaluate
2. Solve for x.
114 - 83(2.5)-0.3x = 70
3. Find the domain and the x-intercept for the function f(x) = log2(2x - 9) - 4
4. Solve for x, in terms of e.
2ln(x + 3) = 12
5. If
and
find the numerical value of
in simplest form.
6.
If log 2.79 = x, then in terms of x, the log .279 =
If ln 6 = a, then in terms of a, express the ln 36e
If the log3.124 = y, then in terms of y, express the log 312.4
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CC Algebra ­ February Cumulative problems through Feb 18th.notebook February 29, 2016
February 29th
1. The effective interest rate for an investment that is compounded monthly is
calculated to be 3.3%. What is the nominal interest rate?
2. State the end behavior of the following equation.
f(x) = 9x3 - 12x2 - 2x - 4
March 1st
1. A population is growing at a rate of 53% every 8 years. What is the yearly
percent growth?
What is the percent growth of a 3 year period of time?
2. Rewrite in vertex form, using the process of completing the square.
y = 3x2 -
15x + 2
3. x and y vary inversely. When x = 4, y = 3/4, find x when y = 3x - 8.
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