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Basic Algebra

Logarithmic Functions

Logarithms: a) Using a calculator, find log 1000 where log means log to the base of 10. b) Most calculators have 2 different logs on them: log, which is base 10, and ln, which is base e. In computer science, digital computers are based on the binary numbering system which means that there are only 2 numbers available to t

Graphing, Parabolas and Quadratic Equations

Please see the attached file for the fully formatted problems. Sample #1 Sample #2 Sample #3 Find the roots of the quadratic equation: . (If there is more than one root, separate them with commas.) Sample # 4 Solve the equation for . (If there is more than one solution, separate them with commas.)

Area of a window

A window is in the shape of a square of side s, witha semicircle of diameter s above it. Please help me unable to figure out how to write a function that express the total area of the window as a function of s

FOIL, Inequalities with Absolute Values and Factoring

Please see the attached file for the fully formatted problems. 9. Simplify using FOIL Solve the inequalities 3. |x - 4| < 5 A -1 > x > 5 B -5 < x< 5 D x > 9 E -1 < x < 9 F -4 > x > 4 4. |x - 2| > = 3 B -1 > x > 5 C x > 3 D x < -1 or x > 5 E x < 2 or x > 3

Basic Algebra

30 Problems Please see the attached file for the fully formatted problems.

Exponential and Logarithmic Functions : Effect of Doubling

With the exponential function e^x and logarithmic function log x how do I graphically show the effect if x is doubled? I need to also calculated the values for e^x and e^(2x) and plotted the values of e^x and e^(2x) then I need to also calculated the values for log x and log 2x and plotted the values of log x and log 2x .

Finding the Surface Area of a Cube

Surface area of a cube. The formula A = 6V^-2/3(-2/3 power) gives the surface area of a cube in the volume V. What is the volume of a cube with a surface area 12 square feet? In addition please include the steps to solve for V if at all possible.

Factoring

Please solve the attached 10 algebra practice problems attached.

Selling Stocks and Retaining Portfolio Ratio

You own 1000 shares of Robotica Galactica (RG) at $39.00 per share. You also own 500 shares of Algebraic Flavors and Fragrance International (AFFI) at $100 per share. You would like to liquidate a part of your holdings to generate about $40,000 in cash for an emergency use. How would you sell your stock so that in your portfolio

Solve the attached 6 practice problems

Pg. 317 Factor out the GCF in the equation: #66. 15x^2 y^2 - 9xy^2 + 6x^2 y Pg. 324. Use grouping to factor the polynomial completely: # 78. x^3 + ax + 3a + 3x^2 Pg. 332. Area of a sail. A triangular sail has an area of x^2 + 5x +6 square meters and a height of x + 3 meters. Find the length of the sail's base. Area

Modeling data with polynomial functions and rational functions

(1) Create a set of data that can be modeled as a polynomial function. Please provide a reference to the data. Plot the data using Microsoft Excel including the equation for the fit. Discuss how closely the data seem to match to the best fit line. (2) Do the same for data that can be modeled using a rational function. Includ

25 Algebra Problems

Please see the attached file for the complete list of problems (25 in all) 1. Find the greatest common factor for the following sets of terms. 12a^3b^2 , 18a ^2b^3, 6a^4b^4 2. Factor the following polynomial. 4s + 6st - 14st ^4 3. Find the GCF of (6y^2 - 3y)(y + 7) 4. Geometry: The area of a rectangle of length x is give

Algebra: Solving Equations and Word Problems

1) Evaluate 6*5+2-24 divided by4*2 2) Given f(x)=3x+3, find f(a+1) 3) Use your calculator to evaluate the following expression if x=9.69, and y= -8.02 x-5y Round your answer to the nearest tenth 4) A bus leaves a station at 1P.M., traveling west at an average rate of 44 mi/h. At 2P.M. on the same day a second bus leav

Tips for New Algebra Students

What type of Algebra problems covered in an Algebra 1 course do you find to be the most challenging? Why? What did you learn from the experience of an Algebra 1 course and how did you overcome this challenge? If you could provide some tips or advice to new Algebra 1 students, what would you share with them?

Practice Algebra Problems

Show all steps. Explain each step as much as you can. Find the prime factorization for each integer. #6. 200 Find the greatest common factor for each group. #10. 6a2b, 9ab2, 15a2b2 Complete the factorization of each binomial. #14. a2 - a = - a( ) Factor each polynomial by factoring out the GCF. #20. 2a2 -

Evaluating and Solving Expressions

Please see the attached file for the fully formatted problems. Write 54 as a product of prime factors. Evaluate the six expressions below. Write each response as an integer or as a fraction. (-8)^2 (-2)^4 (1/5)^3 4^2/5 (-1/2)^2 -6^2 Evaluate. Evaluate the expression when and

Arithmetic and Geometric Sequences, Series and Functions

Using the index of a sequence as the domain and the value of the sequence as the range, is a sequence a function? Include the following in your answer: Which one of the basic functions (linear, quadratic, rational, or exponential) is related to the arithmetic sequence? Which one of the basic functions (linear, quadrati

15 Basic Algebra Problems

1. Reduce if possible: (p^2 + 5p + 6)/(p^2 + 2p - 3) 2. Multiply: (x^2 - 3x + 2)/(x^2 - 4x + 4) times (x^2 + x - 6)/(x^2 - 1) 3. For what values of p is #1 undefined? 4. For what values of x is #2 undefined? 5. Find the LCD of the following: 1/(x + 2) and 1/(x^2 + 2x). 6. Find the LCD of the following: 1/(x^2 +

Sequence and Series

Using the index of a sequence as the domain and the value of the sequence as the range, is a sequence a function? Include the following in your answer: Which one of the basic functions (linear, quadratic, rational, or exponential) is related to the arithmetic sequence? Which one of the basic functions (linear, quadra

Fixed Point Equations

The chapter in question is about Iteration.(x2 means x squared). It talks about the Fixed point rule. It describes a fixed opint equation as x2 + 1/8 = x; that is x2 - x + 1/8 = 0 It then gives another example: Determine the fixed points of the function f(x) = -1/8x2 + 11/8x + 1/2 and states that the fixed point equation

Radicals and Rational Exponents

While the radical symbol is widely used, converting to rational exponents has advantages. Explain an advantage of rational exponents over the radical sign. Include in your answer an example of an equation easier to solve as a rational exponent rather then a radical sign.

Basic Algebra

Practice skills- 16 Problems Each correct answer is worth 6-1/4 points 1. Write in simplest form. A) -2r3s2t B) C) D) 2. Write in simplest form. A) B) C) 4a4b D) 3. Multiply. A) B) C) D) 4. Multiply. A) B) C) -n2 +

Radicals and Rational Exponents

While the radical symbol is widely used, converting to rational exponents has advantages. Explain an advantage of rational exponents over the radical sign. Include in your answer an example of an equation easier to solve as a rational exponent rather then a radical sign.

Writing Equations from Word Problems

The equation for the distance of the room is: d=20+5t and the equation for the distance of Peter is d=vt =10t Such that setting the two equations together we see that at t=4 seconds, the distance that Peter travelled is the same as the distance of the room 40ft. However, here he only drops of one paper and he must go back

Algebra Problem Set Quadratics

1. Decide whether each of the following is a quadratic equation or not. a. 3 - X^2 = 9x b. X^3 - 8 = 0 c. 2X^2 - 7X + 1 d. -5 - X^2 + 8X = 0 e. 6 + 5X - X^2 2. Find f(-3) if f(x) = -2x^3-8x^2+2x-1 3. Do the math and express without negative exponents: x^(-7) * x^3 4. Do the math and express without negative expon

Evaluating Exponential Functions

Human populations can be modeled using an exponential growth function. Use the Library for research or other resources to find the following: Current world population Current U.S. population Current growth rate of the world population Current growth rate of the U.S. population Starting in the current year, determine

Modeling with Polynomial Functions

Many different kinds of data can be modeled using polynomial functions. An example of a polynomial function would be gas mileage for an automobile. Many different kinds of data can be modeled using polynomial functions. An example of a polynomial function would be gas mileage for an automobile. If we compare gas mileag

Algebra Word Problems : 'Together and Alone' Problems

Problem 1:Suppose one painter can paint the entire house in twelve hours, and the second painter takes eight hours . How long would it take the two painters together to paint the house? Problem 2: Two trains leave the same train station at the same time , but in opposite direction. The faster train travels at an average ra