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    Basic Algebra

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    Simplifying Expressions

    Evaluate. Write your answer as a fraction in simplest form. See attached file for full problem description.

    Factoring Polynomials

    Factor each polynomial completely. Is it prime? See attached file for full problem description.

    What if an equation had three variables?

    What if an equation had three variables? You now have practice solving equations with one and equations with two variables. Compare equations with one variable to equations with two variables. How are they different?

    Exact Value Approximation

    Find an expression for x such that: sqrt(2)*sin(x+pi/4)-1-x+(x^2)/2 = -epsilon/6, Where epsilon is very small. Do not need the exact value of x, but an approximation using Taylor expansion.

    Solving for Distance for Velocity and Accelerations

    The function s(t) = ut + 1/2 gt^2 represents the distance traveled s meters in time t seconds when the initial velocity is u m/s and acceleration is g m/s^2. What is the distance traveled in 5 seconds, if the initial velocity is zero and acceleration is 10 m/s^2? a) 1000 m b) 500 m c) 250 m d) 125 m

    Writing and Solving Equations from Word Problems

    4. If it takes 4 hours to cover x miles and 5 hours to cover y miles, what is the average speed? a) 9 b) x/4 + y/5 c) (x+y)/9 d) 4/x + 5/y 5. If you can make 100 cups of coffee and 125 cups of tea from a gallon milk, how many gallons of milk would you need to make 20 cups of coffee and 25 cups of tea? a) 0.1 b) 0.2

    Writing and Solving Quadratic Equations from Word Problems

    A yearbook page is to be designed so that there are 24 square inches available for print or pictures with margins of 1.5 inches on the top and bottom, and 1 inch on the left and right sides. Find the minimum total page area that can meet these requirements. (Also state the length and width that gave this result)

    Quadratic Equations

    1) Using the quadratic equation x2 - 6x + 8 = 0, perform the following tasks: a) Solve by factoring. b) Solve by using the quadratic formula. 2) For the function y = x2 - 6x + 8, perform the following tasks: a) Put the function in the form y = a(x - h)2 + k. b) What is the equation for the

    Solving Applied Problems: Algebra

    Please solve the following problems: 1. The St. Mark's Community Barbecue served 250 dinners. A child's plate cost $3.50 and an adult's plate cost $7.00. A total of $1347.50 was collected. How many of each type of plate was served. 2. Deep Thought Granola is 25% nuts and dried fruit. Oat Dream Granola is 10% nuts and

    Rational Expressions & Equations Series

    See attached file for full problem description. Solve by factoring and using the principle of zero products. Remember to check. 2 30. - 9x + 14 = 0 2 34. x + 16x = 0 2 46. 3x - 7x = 20 2. The length of a rectangle garden is 4m greater than the width. The a

    Vertical motion of a baseball under quadratic drag friction

    Problem 1: Consider a two-dimensional problem in the xy-plane. There are two points in space, labeled as P and Q, as shown in the figure to the right a) Using polar coordinates, sketch on the figure at points P and Q the radial and azimuthal unit vectors. b) Write down a general expression for the radial and azimuthal unit

    How was the right side of the equation arrived at?

    This is probably an algebra question but it is occurring while I am trying to solve a calculus problem. During the solution I was given there is a step that goes from: lnC (-R/V)*t + a e = e to (-R/V)*t a C = e * e How was the right side of the equation arrived