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Writing Equation Word Problems: Factoring

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Solve each problem by factoring.

1. Area of a painting. A rectangular painting with a width of x centimeters has an area of x^2 + 50x square centimeters. Find a binomial that represents the length.

2. Amount of an investment. The amount of an investment of P dollars for t years at simple interest rate r is given by
A = P +Prt.

a) Rewrite this formula by factoring out the greatest common factor on the right-hand side.
b) Find A if $8300 is invested for 3 years at a simple interest rate of 15%.

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Solution Summary

This solution explains how to write an equation and solve for two word problems.

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1. The area of a rectangle is given as A = l * w.
You are given that the width is w = x.
You are also given that the area is A = x2 +50x. This can also be written as x(x+50)
You can ...

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