Algebra 2 Common Core

Published by Prentice Hall
ISBN 10: 0133186024
ISBN 13: 978-0-13318-602-4

Chapter 1 - Expressions, Equations, and Inequalities - 1-4 Solving Equations - Practice and Problem-Solving Exercises - Page 32: 69

Answer

The flagpole is $7$ ft. in height.

Work Step by Step

Let's translate this word problem into an equation we can solve. The basketball hoop is $10$ ft. tall, which will be on one side of the equal sign. Let $x$ = the height (in feet) of the flag pole. This is what we want to find. On the other side of the equation, we will subtract $4$ ft. from $2$ times the height of the flag pole. Putting all these pieces together, we get the following equation: $10=2x - 4$ Add $4$ ft. to each side of the equation to isolate the variable: $2x = 14$ Divide both sides by $2$: $x = 7$ The flagpole is $7$ ft. in height.
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