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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 11 Page 8

Use the Addition Property of Equality.

p=-3, see solution.

Practice makes perfect

To solve the given equation for p, we need to isolate it by adding 11 to both sides of the equation. We want to add 11 because addition and subtraction are inverse operations — they cancel each other out. This is allowed by the Addition Property of Equality.

-14=p-11

LHS+11=RHS+11

-14+11=p-11+11

Add terms

-3=p

Rearrange equation

p=-3

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.

-14=p-11

p= -3

-14? = -3-11

Subtract term

-14=-14 ✓

Since substituting p=-3 resulted in an identity, our solution is correct.

Subchapter links

Communicate Your Answer p.3

Monitoring Progress p.4-7

Exercises p.8-10