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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 13 Page 8

Use the Addition Property of Equality.

r=18, see solution.

Practice makes perfect

To solve the given equation for r, we first need to rewrite the addition of the negative term as a subtraction.

r+(- 8)=10

a+(- b)=a-b

r-8=10

Now, we will add 8 to both sides of the equation to isolate r. We want to add 8 because addition and subtraction are inverse operations — they cancel each other out. This is allowed by the Addition Property of Equality.

r-8=10

LHS+8=RHS+8

r-8+8=10+8

Add terms

r=18

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.

r+(- 8)=10

r= 18

18+(- 8)? =10

a+(- b)=a-b

18-8? =10

Subtract terms

10=10 ✓

Since substituting r=18 resulted in an identity, our solution is correct.

Subchapter links

Communicate Your Answer p.3

Monitoring Progress p.4-7

Exercises p.8-10