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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 45 Page 9

How can you manipulate Equation 1 so that it becomes Equation 2?

Multiplication Property of Equality.

Practice makes perfect

Let's think about the x-term on the left-hand side in both equations. In Equation 1, we have x. In Equation 2, we have 4x. This means that we can multiply the x-term in Equation 1 by 4 to make it equal to the x-term in Equation 2. x * 4 = 4x Let's check to see if multiplying all of Equation 1 by 4 makes it equivalent to Equation 2.

x - 1/2 = x/4+3

LHS * 4=RHS* 4

(x - 1/2)4 = (x/4+3)4

Distribute 4

4x - 4/2 = 4x/4+12

Calculate quotient

4x-2=x+12

Multiplying Equation 1 by 4 did, in fact, make it equivalent to Equation 2. Therefore, we used the Multiplication Property of Equality.

Subchapter links

Communicate Your Answer p.3

Monitoring Progress p.4-7

Exercises p.8-10