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Big Ideas Math: Modeling Real Life, Grade 6

BI

Big Ideas Math: Modeling Real Life, Grade 6 View details

Cumulative Practice

Exercise 5 Page 340

Use the Division Property of Equality to eliminate the multiplication.

m=3/2

We will solve the equation by isolating m on one side. We can use the the Division Property of Equality to divide both sides of the equation by 4. This will eliminate the multiplication of the variable and isolate m. Let's do it!

4m=6

.LHS /4.=.RHS /4.

4m/4=6/4

a = 4* a/4

m=6/4

DivFracByFracSameDenom

.a /2./.b /2.=a/b

m=6 ÷ 2/4 ÷ 2

Simplify quotient

m=3/2

The value of m that makes the equation true is 32.

Extra

Properties of Equality

There are four main Properties of Equality that we use when solving linear equations.

Properties of Equality
Addition Property of Equality	If a=b, then a+c=b+c.
Subtraction Property of Equality	If a=b, then a-c=b-c.
Multiplication Property of Equality	If a=b, then ac=bc.
Division Property of Equality	If a=b and c is not 0, then ac= bc.

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