Math+Scavenger+Hunt

= High School Algebra =

E xponents by Brian Miracle

 * Question 1**
 * Click on the following link to be introduced to the concept of exponents: @http://www.mathgoodies.com/lessons/vol3/exponents.html
 * Afterward, solve the equation: 2⁷=x


 * Question 2**
 * Click on the following link to read about the basic rules of exponents: @http://www.purplemath.com/modules/exponent.htm
 * Answer this: "xxxxxxxx" equals x to the ? power.
 * Question 3**
 * Click on the following link to learn how to use the online exponents calculator: @http://www.purplemath.com/modules/exponent.htm
 * Afterward answer this: What is 8 to the 4th power?

Question 1

 * Click on the following link to learn the definition of a logarithm: @http://cs.gmu.edu/cne/modules/dau/algebra/exponents/logs_frm.html
 * Afterward, solve the equation: 10 x = 10,000

Question 2

 * Click on the following link to learn basic identities of logarithms: @http://tutorial.math.lamar.edu/Classes/Alg/LogFunctions.aspx In this link, scroll down about halfway until you see a blue box that has the title "Properties of Logarithms."
 * Afterward, rewrite the following expressions into equations and then solve for 'x':
 * The Logarithm of x to the base 10 equals 0
 * Does changing the base have any effect on 'x'? Why or Why not?
 * The Logarithm of x to the base 50 equals 1

Question 3

 * Click on the following link to view a video on the properties of logarithms: @http://www.freemathhelp.com/Lessons/Algebra_2_Properties_of_Logarithms_BB.htm
 * Afterward, simplify the following expressions using the general properties of logarithms (do not solve for them):
 * log 2 16 + log 2 4
 * log 5 8 - log 5 12
 * -log 3 4 + log 3 16
 * log 10 100 9

Real-World examples of Logarithms

 * Logarithmic functions have a great range of applications in real life, such as, Population problems, Interest Rate problems, Earthquake problems, Radioactive problems, and Stock Market problems to name a few. The following question is an example of a Biological application of Logarithmic functions.
 * Let's say you are a genetic engineer. You and your colleague changed the DNA of 10 cells and are observing how fast the cells duplicates in order to find a cure for Cancer. After some experiments, you both gather your data and derive an equation that determines the net number of cells(n) after 'x' amount of minutes. This equation is: log 10 n = x, where 'x' is the number of minutes passed, and 'n' is the net number of cells that have accumulated. With how many cells did the experiment begin (Show this using the given equation)? How many cells have accumulated after 5min? 6min? 7min?

Question 1

 * Use the Basic Rules of Algebra to find the Distributive Properties in the Algebra Properties table. In which of the following equations is the Distributive Property used correctly?
 * (A) 2t(3 + 8t) = (2t ∙ 3) + (2t ∙ 8t)
 * (B) (4 + 10x)0.5 = (4 ∙ 0.5) - (10x ∙ 0.5)
 * **BONUS!!!!** Rewrite the equation that uses the Distributive Property incorrectly to make the statement true.

Question 2

 * Read “Distributing a Number” and simplify the equation from question 1 that used the Distributive Property properly.

Question 3

 * Scroll down to “Problem 1” on “Distributive Rule – A Complete Course in Algebra” to find out how to distribute negative numbers. Then use what you’ve learned to simplify the following expressions:
 * -(4x – 3)
 * 3(2y – 3) – 2y(8 + 4y)
 * -5t(t + 9) + 7(2t -t 2 )

Question 1
*Website1: Virtual Math lab ( @http://www.wtamu.edu/academic/anns/mps/math/mathlab/col_algebra/col_alg_tut6_poly.htm ) Question: What is a coefficient?

Question 2
*Website 2: Cool Math Algebra ( @http://www.coolmath.com/algebra/Algebra1/01Polynomials/04_polynomials-terminology.htm ) Question: When a polynomial has three terms what is it called?

Question 3
*Website 3: Tutor Vista ( @http://www.tutorvista.com/content/math/number-theory/polynomials/polynomialsindex.php ) Question: What is factorization?

Imaginary and Complex Numbers by LaDai Haywood
Familiarize yourself with imaginary numbers. Explain the difference between an imaginary number and a real number.
 * Question 1**

Describe the properties of imaginary numbers.
 * Question 2**

Read about complex numbers. Solve: a) 2//i// + 3//i// b) 16//i// – 5//i// c) (//i//)(2//i//)(–3//i//)
 * Question 3**