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    Basic Algebra

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    Simplifying Expressions

    Express the following sum as a single fraction: 9w-x 5w+x ------ - -------- 2w 2w Reduce the result to lowest terms whenever possible.

    Simplifying Expressions

    Express the following compound fraction in lowest terms 5mn^2 -------- 6p^2 q -------- 20n^5 -------------- 3p^5 q^4

    Simplifying Expressions

    Find the product of the following: 3tu 2t ----- and ----- 8t 9u Reduce the answer to lowest terms.

    Simplifying Expressions

    Evaluate the three expressions below. Write each response as an integer or as a fraction. a) -8^2 b) 5^3 -------- 4 5 c) (- ---- )^2 3

    Stationary Points and Minimum Surface Area

    A) Given the function z = x3 - 6xy +y3, find and classify the stationary points. b) Show that the minimum surface area of a rectangular box (which has a top), of volume 8 cubic meters, is equal to 24 square meters.

    Algebra Word Problems Productive Orchards

    Julia wants to have a small but productive orchard. Experienced farmers have told her that if she plants 20 trees, she will get 24 bushels of fruit from each tree. But every additional tree she plants will cause crowding and result in an orchard-wide drop in yield of 1 bushel per tree. How many trees should she plant to get t

    Range of the selling price for car selling and inequality

    Ronald wants to sell his car through a broker who charges a commission of 10% of the selling price. Ronald still owes $11,025 on the car. Ronald must get enough to at least pay off the loan. What is the range of the selling price?

    Simplifying Radicals

    Write in simplified radical form by rationalizing the denominator 3 sqrt 5+2 ------------- 2 sqrt 5+5

    Simplifying Radicals

    Simplify sqrt 2 w^2 t^6 sqrt 6 w^2 t^6 Assume that all variables represent positive real numbers

    Simplifying Radicals

    Rewrite the following in simplified radical form. sqrt 12x^8 Assume that all variables represent positive real numbers

    Simplifying Expressions

    Reduce the following rational expression to its lowest terms 25 uw^3 - 5 u^2 ------------------------ 10 u^3 z