Algebra 1: Common Core (15th Edition)

Published by Prentice Hall
ISBN 10: 0133281140
ISBN 13: 978-0-13328-114-9

Chapter 1 - Foundations for Algebra - 1-8 An Introduction to Equations - Practice and Problem-Solving Exercises - Page 57: 64


As seen in the table, the immediate pattern that is noticed from the solutions given for $2x+2 $ in the table is that each value increases by 2 for every increase. This means that the value for $x=1 $ is 2 greater than the value for $x=0$. Following this pattern, we know that the solution for $2x+2 = 28$ must be $x=13$. We can check this answer by continuing the table until $x=13$ or by plugging in 13 into the equation. This results in $2(13) + 2 = 28$. When this is simplified we get $26+2 = 28 $. This is true as $28 = 28 $.

Work Step by Step

See above.
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