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    Basic Algebra

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    Simplify

    Simplify each radical. All variables represent positive real numbers. principle square root 9/144

    Simplify

    Use product rule for radicals to simplify the following. All variables represent nonnegative real numbers: 3 principle square root 5b^9

    Solve Using a + bi Form

    Write the following expression in the form a + bi, where a and b are real numbers. (3 - 5i) - (2 - 7i)

    Surface area of a cube

    The formula A=6V^2/3 gives the surface area of a cube in terms of its volume V. What is the volume of a cube with surface area 12 square feet.

    Algebra Word Problems : Sailboat Speed

    The sail area displacement ration S provides a measure of the sail power available to drive a boat. For a boat with a displacement of d pounds and a sail area of A square feet. S= 16AD^-2/3 A) Find S to the nearest tenth for the Tartan 4100, which has a sail area of 810 square feet and a displacement of 23,245 pounds.

    Task: Solving Equations

    Please solve the following equation and provide a step by step methodology to shown how it has been done: 3 + principle square root x^2 - 8x = 0

    Simplify principle square root

    Principle square root 3 Principle square root 3 -------------------------- - ----------------------------- principle square root 6-1 principle square root 6 + 1

    Simplifying Expressions

    Simplify. Assume a and b are positive real numbers and m and n are rational numbers. ( a^-3/mb^6/n)^-1/3 ------------------ (a^-6/mb^9/n)

    Algebra Word Problems : Comparing Wind Chills

    Use this formula for the following word problem. W= 91.4 - (10.5 + 6.7 principal square root v - 0.45v) ( 457 - 5t) --------------------------------------------------------------- 110 Who will feel colder: a person in Minneapolis at 10 degrees F with a

    How fast was each one traveling?

    Smith bicycled 45 miles going east from Durango, and Jones bicycled 70 miles. Jones averaged 5 miles per hour more than Smith, and his trip took one half hour longer than smith's. How fast was each one traveling?

    Find the LCD for the rational expressions

    Find the LCD for the following rational expressions, and convert each rational expression into an equivalent rational expression with the LCD as the denominator. 4/x -y , 5x/ 2y - 2x