Introductory Algebra for College Students (7th Edition)

Published by Pearson
ISBN 10: 0-13417-805-X
ISBN 13: 978-0-13417-805-9

Chapter 1 - Section 1.1 - Introduction to Algebra: Variables and Mathematical Models - Exercise Set - Page 11: 71


$4(x +5) = 33$.

Work Step by Step

First identify the task. In this case, it is to express "the product of four and a number increased by five is thirty-three" as an equation. We are told to assume the number is "x". A method to solving this problem is to divide the given statement into sub parts and then combine each of these parts into an equation. "The product of four and a number" can be expressed as "$4x$". "increased by five" can be expressed as "$+5$". "Is equal to three" reminds us to connect the two sides with an equals sign, "$=33$". By putting these together, the answer is $4(x +5) = 33$.
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