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    Basic Algebra

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    Functions, Models, and Linear Equations

    1. What is a function? 2. What is a linear function? 3. What form does a linear function take? (I.e., What is the standard mathematical notation of a linear function?) 4. What is the formula for determining the slope of a line? 5. Which of the following are functions? The last two problems, i.e., b & c, are mul

    Elementary and Intermediate Algebra

    1) What are some examples of real-life situations where the addition of fractions, multiplication of fractions, or division of fractions might be required? Select one, and discuss your methodology for solving problems in this situation. 2) In this chapter, you are working a lot on evaluating expressions using some of the pr

    Homework Problem

    A marketing group developing online ad space is offering two payment options: Option 1: $210 set up fee plus $10/inch of the ad Option 2: No set up fee but $25/inch of the ad. Let x = inches of the proposed ad, for example, x = 2 for a column ad that is 2" long. a) Write a mathematical model representing the total ad cos

    quotient of any nonzero quantity and its negative

    1. The quotient of any nonzero quantity and its negative is . 2. Simplify the following expression. 3. Simplify the following expression. 4. Simplify the following expression. 5. Perform the operations and simplify. ÷ 6. Perform the operations and simplify. 7. Perform the operations and simplify.

    Rational and Irrational Numbers and Expressions

    1. Classify each number below as a rational number or an irrational number: a) Square root of 64 b) 9 c) -41.4 d) 46.97 e) -3 sqaure root 2 f) 24+9*(15-13)/6 g) -(1-23/1)2/1-4.5 2. Evaluate the expression when a=-6 and b=4 . a-9b 3. Evaluate the expression for c=-4 c^2 + 7c - 5 4. Write an ineq

    Number of stickers

    Michele gave away 21 stickers. She gave half as many to her brother as she gave to her teacher. She gave twice as many to her best friend as she gave to her teacher. How many stickers did Michele give to each person?

    Exponential Function Amounts

    1. A laptop computer is purchased for $1500. Its value each year is about 80% of its value in the preceding year. Its value in dollars after t years is given by the exponential function V(t) = 1500(0.8)^t. A)After what amount of time will the computer's value be $900? B)After what amount of time will the computer's value be

    Algebra

    2-3 paragraphs Suppose that the number of new homes built, H, in a city over a period of time, t, is graphed on a rectangular coordinate system where time is on the horizontal axis. Suppose that the number of homes built can be modeled by an exponential function, H= p * at , (H = p*a^t) where p is the number of new homes buil

    Evaluate the exponential equation for three positive values of x

    1. Evaluate the exponential equation for three positive values of x, three negative values of x, and at x=0. Transform the second expression into the equivalent logarithmic equation; and evaluate the logarithmic equation for three values of x that are greater than 1, three values of x that are between 0 and 1, and at x=1. Use th

    inequality on a plane Interval notation

    1)47-(2x+5)< 3(x+2)+2 = 2)Can this equation be dependent or indepdent ? Is the system consistent or inconsistent? 5x +9y=-27 -5x+9y=27 3) Write interval notation fo rthe set (x|-2 > x>-10) 4)x<2 & y>-2x +4 5)What is the solution of the system? The solution is?in an order pair 7x +4y=2 & 3x-4y=-22 6)x+y<4 gr

    Expotential functions and logarithmic functions

    1. Do exponential functions only model phenomena that grow, or can they also model phenomena that decay? Explain what is different in the form of the function in each case. 2. Assume that the number of viruses present in a sample is modeled by the exponential function "f(t) = 10t," where t is the elapsed time in minutes. H

    Valuation

    Vonnegut Company and Heller Company are two identical firms that agree to merge. Both have revenues of $1500, operating margin of 15%, a tax rate of 40%, investment rate of 10%, growth rate of 11%, 5 years of supernormal growth followed by zero growth thereafter, and a 9% cost of capital. a) what are the values of the compani

    Algebra

    When a ball is thrown up into the air, it makes the shape of a parabola. The equation S= -5t^2 + v*t + k gives the height of the ball at any time, t in seconds, where "v" is the initial velocity (speed) in ft/sec and "k" is the initial height in feet (as if you were on top of a tower or building). Make up a scenario where

    Algebra: MTH133 Unit 1 & 2 Individual Project - A

    1) The following graph shows the depreciation for the corporate airplane from 2006 to 2009. The plane was purchased new in 2006; therefore, x = 0 represents the year 2006. X - axis (horizontal) = years starting from 0 = 2006 and increasing by 0.5 years Y - axis (vertical) = price in $ amounts a) List the coordinates of t

    Example Algebra Problems and Solutions

    2-3 paragraphs Part 1: What is the formula for the volume of a rectangular solid? Find an object in your residence that has the shape of a rectangular solid. Measure and record the length, width, and height of your object in either centimeters (to the nearest 10th of a centimeter) or inches (to the nearest quarter of an inch)

    Rational Number to its Lowest Terms

    Here are the questions. 1. How do you reduce a rational number to its lowest terms? Explain with examples. 2. What is meant by the term simplified radical expression? Describe the three conditions that characterize a simplified radical expression.

    change-of-base formula

    1. Solve. Where appropriate, include approximations to the nearest thousandth. If no solution exists, state this and show your work ln x - ln (x - 4) = ln 4 2. Solve. Where appropriate, include approximations to the nearest thousandth. If no solution exists, state this and show your work. log x = 1 3. Solve. Where a

    Distance Between Numbers Simplified

    1. Express and evaluate the distance between the numbers 84 and -34 using absolute value. 2. -6 (2x-9) -4x+5 3. (x ) -3 4. 5. 2+6 given x = 4 6. ( 8-7w + 2y) 7. 8x+7 given x = -3 8. Simplify 7 completely. 9. 10. 11. 12. 13. Determine whether 15>16 is true or false. 14. 6 + 3 15. Given x = 1 a

    Equations

    The problems below follow closely the examples shown in the background materials. Complete these problems showing your work and turn them in by the end of the Module. 1. Convert the following equations into logarithmic form: a. 2 = 6x b. 7 = 6y c. 9 = 3y d. X = 8y 2. Convert the followi

    Algebra: Scientific Notation

    Question: Find an example from daily life that represents an extremely large or small number. An example of a very large number is 1 light year = 9.4605284 x 1012 kilometers or 9460528400000 kilometers. Write it in scientific notation format as well as regular format. In addition, explain any other advantages of using scientific

    Algebra: Quadratic Equations and Word Problems

    Apply the quadratic formula to find the roots of the given function, and then graph the function. 1. f(x) = x^2 - 4 2. g(x) = x^2 - x - 12 Factor the quadratic expression completely, and find the roots of the expression. 3. 20x^2 + 13x + 2 4. 49x^2 - 14x - 3 Complete the square, and find the

    Algebra: Addition, Subtraction, Multiplication & Division

    1. Find all the numbers for which the rational expression is undefined. 7/v-3= 2. Solve s/10 - 10/s =0 The solutions are______ 3. Y^2 - 49 y - 7 ------------ divide sign ------ = _______ 64y + 448 56 4. 5/x-9 divide sign 16/(x-9)^2 = _____ 5. Add 7/v+1 + 7/5v =____

    Assistance with an Exponential Equation

    Evaluate the exponential equation for three positive values of x, three negative values of x, and at x=0. Show your work. Use the resulting ordered pairs to plot the graph. Show your wok and state if the equation of the line is asymptotic to the graph (if any). y = 3-x Evaluate the exponential equation for three positive v

    exponential growth function types

    Solve the problem. Randy invested his inheritance in an account that paid 6.1% interest, compounded continuously. After 5 years, he found that he now had $51,426.94. What was the original amount of his inheritance? Solve the problem. In 1998, the population of a given country was 37 million, and the exponential growth r

    Exponential and Logaithmic Equations

    1. Evaluate the exponential equation for three positive values of x, three negative values of x, and at x=0. Show your work. Use the resulting ordered pairs to plot the graph. State the equation of the line asymptotic to the graph (if any). y = 3x - 4 2. Evaluate the logarithmic equation for three values of x that

    Basic Algebra Example Problems

    1. Simplify the following algebraic expressions: 2. Perform the indicated operations (Multiply/Divide) on the given algebraic expressions: 3. Factor the algebraic expressions completely: 4. Simplify the rational expressions: 5. Classify the given numbers as real and rational, real and irrational, or complex: [

    Measuring Liquid in Cups, Tablespoon & Teaspoon

    1. Recipe calls for 800 mL of sour cream a. How many cups is that? b. How many teaspoons is that? c. How many tablespoons is that? 2. Cleaning solution is made by mixing 1/3 teaspoon baking soda, 2 tablespoon of dishwashing liquid and 2 cups lukewarm water. a. How many mL of dishwashing liquid is that? b. How many

    Manipulating an expression and solving an equation

    How does solving an equation differ from manipulating an expression? How are they alike? Very few situations in the real world fit a linear pattern or even a non-linear pattern perfectly. How can we tell if the algebraic model we are using fits the situation "good enough?"

    Please provide the cost in millions of dollars

    I am having trouble completing a math problem I will list one example. Please explain step by step on how to complete this problem. Thanks in advance. The cost, in millions of dollars, to remove x% of pollution in a lake modeled by C= 6,000 200-2x (the problem is suppose to read 6,000