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Big Ideas Math Integrated I, 2016

BI

Big Ideas Math Integrated I, 2016 View details

1. Solving Simple Equations

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Exercise 9 Page 8

Use the Subtraction Property of Equality.

w=-7, see solution.

Practice makes perfect

To solve the given equation for w, we need to isolate it by subtracting 3 from both sides of the equation. We want to subtract 3 because addition and subtraction are inverse operations — they cancel each other out. This is allowed by the Subtraction Property of Equality.

w+3=-4

LHS-3=RHS-3

w+3-3=-4-3

Subtract terms

w=-7

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.

w+3=-4

w= -7

-7+3? =-4

Add terms

-4=-4 ✓

Since substituting w=-7 resulted in an identity, our solution is correct.

Subchapter links

Communicate Your Answer p.3

Monitoring Progress p.4-7

Exercises p.8-10