Big Ideas Math Integrated I, 2016
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Big Ideas Math Integrated I, 2016 View details
1. Solving Simple Equations
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Exercise 36 Page 9

Use the Subtraction Property of Equality. Keep in mind that π is a constant, not a variable.

f=4Ï€

Practice makes perfect

First, let's recall that π is a constant, not a variable. Keeping this in mind, we can solve the given equation for f by subtracting 3π from both sides of the equation. We want to subtract 3π because addition and subtraction are inverse operations — they cancel each other out. This is allowed by the Subtraction Property of Equality.

f+3Ï€=7Ï€
f+3Ï€-3Ï€=7Ï€-3Ï€
f=4Ï€

We will check our solution by substituting this result back into the original equation and simplifying. If doing so results in an identity, our solution is correct.

f+3Ï€=7Ï€
4Ï€+3Ï€? =7Ï€
7π=7π ✓

Since substituting f=4Ï€ resulted in an identity, our solution is correct.