Algebra 1

Published by Prentice Hall
ISBN 10: 0133500403
ISBN 13: 978-0-13350-040-0

Chapter 1 - Foundations for Algebra - 1-2 Order of Operations and Evaluating Expressions - Practice and Problem-Solving Exercises - Page 14: 54


a) The expressions evaluate to 1 and 1. b) The expressions evaluate to 9 and 5. c) When x=2 and y=3, the expressions evaluate to 25 and 13. d) The two expressions are not equal for all values of x and y as shown by the examples given, so the student is incorrect.

Work Step by Step

a) substitute the given values $(x+y)^2=(1+0)^2=1^2=1$ $x^2+y^2=1^2+0^2=1+0=1$ b) substitute the given values $(x+y)^2=(1+2)^2=3^2=9$ $x^2+y^2=1^2+2^2=1+4=5$ c) Let x=2 and y=3 $(x+y)^2=(2+3)^2=5^2=25$ $x^2+y^2=2^2+3^2=4+9=13$ d) The claim is not correct because the result of simplifying the equations is not the same for every combination of values for x and y.
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