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    Basic Algebra

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    Simplifying Fraction Expressions

    Express the following sum as a single fraction: 3x + t 7x + 5t - ------------ + ------------- 2x 2x Reduce the result to lowest terms whenever possible

    Simplifying Expressions

    Find the product of the following 12uz 5z ------- and ------ z 14u Reduce your answer to lowest terms.

    Simplifying Expressions

    Simplify: 4z^3 * 5t^3 * 2t^-6 y^9 z^3 y^-4 Write the answer without using negative exponents.

    Simplifying Expressions

    Evaluate the three expressions below. Write each response as an integer or as a fraction: a) 5^3 -------- 2 b) -11^2 1 c) ( - --- )^3 4

    Quadratic equation

    Find the roots of the quadratic equation: z^2-4z-12=0 . (If there is more than one root, separate them with commas.)

    Graph the inequality

    Graph the inequality: 1 4 8 y> or equal to - ---- x^2- ---x + --- 3 3 3 To graph the associated parabola, plot the vertex and four additional points, two on each side of the vertex.

    Quadratic Inequality Solutions

    On a number line , graph the solution to the quadratic inequality -x^2>3x If there is no real solution, click on the "no solution" button.

    Solving Inequalities

    Solve the rational inequality. State and graph the solution set. x+ 3 -------< or equal to -2 x

    Word Problems : Surface Area of an Open Top Box

    Thomas is going to make an open top box by cutting equal squares from the four corners of an 11 inch by 14 inch sheet of cardboard and folding up the sides. If the area of the base is to be 80 square inches, then what size square should be cut from each corner? keywords: open-top

    Find Divisibility Rules for the Numbers from 2 to 13

    Derive rules to test whether a number is divisible by N, where N ranges from 2 to 13. E.g. A number is divisible by 3 if the sum of the digits is divisible by 3. Show that a palindromic number which has an even number of digits is always divisible by 11.

    Absolute Value and Distributive Property

    This is a True or False problem and I need to explain the answer. 1. If we add the absolute values of -3 and -5, we get 8. using the distributive property to remove the parentheses. 2. -3(6-p) Can you help me with this problems and explain them. Thank you, your help is GREATLY appeciated.

    Simplified radical form

    Write in simplifed radical form. Assume all variables represent positive real numbers. sqrt 45 y^7 z^6

    The Simplified Radical Form

    Write the expression below as simply as possible in its radical form. Assume that all of the variables in the expression represent positive real numbers. 3 sqrt(72t^9 w^11)