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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 12 Page 8

Use the Subtraction Property of Equality.

q=-4, see solution.

Practice makes perfect

To solve the given equation for q, we need to isolate it by subtracting 4 from both sides of the equation. We want to subtract 4 because addition and subtraction are inverse operations — they cancel each other out. This is allowed by the Subtraction Property of Equality.

0=4+q

LHS-4=RHS-4

0-4=4+q-4

Subtract terms

-4=q

Rearrange equation

q=-4

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.

0=4+q

q= -4

0? =4+( -4)

a+(- b)=a-b

0? =4-4

Subtract term

0=0 ✓

Since substituting q=-4 resulted in an identity, our solution is correct.

Subchapter links

Communicate Your Answer p.3

Monitoring Progress p.4-7

Exercises p.8-10