Big Ideas Math: Modeling Real Life, Grade 6
BI
Big Ideas Math: Modeling Real Life, Grade 6 View details
3. Solving Equations Using Multiplication or Division
Continue to next subchapter

Exercise 1 Page 260

Use the Multiplication Property of Equality to eliminate the division.

a=48

Practice makes perfect
To solve the equation, we have to isolate a on one side. Using the Multiplication Property of Equality, we will multiply both sides of the equation by 8. This will eliminate the denominator of the fraction and isolate a.
a/8=6
a/8* 8=6 * 8
a=6* 8
a=48
To check that this solution is correct, let's substitute a=48 into the original equation and simplify.
a/8=6
48/8? =6
6=6 âś“
Since the left-hand side and right-hand side are equal, a=48 is the correct solution.

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 a/c=b/c.

In later chapters, you will learn about some more advanced Properties of Equality. As an example, there is a property for when we need to eliminate a radical or an exponent.

Power Property of Equality

If a=b, then a^m=b^m.