body{margin:0;} noscript{z-index: 10000; position: fixed; display: block; height: 100%; width: 100%; background: #fff;} noscript .fa{font-size: 40px; display:block; color: #daa520;} noscript div{margin-top: 6%; padding-left: 20px; padding-right: 20px; text-align: center;} ! You must have JavaScript enabled to use this site.

Big Ideas Math: Modeling Real Life, Grade 6

BI

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

Chapter Review

Finish the assignment

Continue to next subchapter

Exercise 17 Page 276

Use the Division Property of Equality to eliminate the multiplication.

q=9

Practice makes perfect

To solve the equation, we have to isolate q on one side. Using the Division Property of Equality, we will divide by 6 both sides of the equation. This will eliminate the multiplication and isolate q.

6* q=54

.LHS /6.=.RHS /6.

6 * q/6=54/6

CancelCommonFac

Cancel out common factors

6 * q/6=54/6

Simplify quotient

q=54/6

Calculate quotient

q=9

To check that this solution is correct, let's substitute q=9 into the original equation and simplify.

6* q=54

q= 90

6* 9 ? = 54

Multiply

54=54 ✓

Since the left-hand side and right-hand side are equal, q=9 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.

Subchapter links

1 Writing Equations in One Variable p.275

2 Solving Equations Using Addition or Subtraction p.276

3 Solving Equations Using Multiplication or Division p.276

4 Writing Equations in Two Variables p.277