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Basic Algebra

Factoring Polynomials

Polynomials with two variables. Factor the polynomial. See attached file for full problem description.

Expand the Product

Product of the sum & difference. Find the product. See attached file for full problem description. (3y^2 + 1) (3y^2 - 1)

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

Simplifying Expressions

1. 16m)^2 / (8n)^3 can be simplified as a) (m^2)/(2n^3) b) 2(m^2)/(n^3) c) 2/n d) 2m/24n 2. (14n)^3 / (28n)^2 can be simplified as a) 7n b) 7/n c) 1/(2n) d) none of the above

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)

Rational Expressions & Equations

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

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

Algebra Word Problems

Jenny purchased a prepaid phone card for $20. The long distance calls cost 10 cents a minute using this card. Jenny used her card only once to make a long distance phone call. If her remaining credit on the card is $18.90. How many minutes did her call last?