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Big Ideas Math: Modeling Real Life, Grade 6

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

Chapter Review

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Exercise 11 Page 276

Use the Subtraction Property of Equality to eliminate the addition.

m=4

Practice makes perfect

To solve the equation, we have to isolate m on one side. Using the Subtraction Property of Equality, we will subtract 7 from both sides of the equation. This will eliminate the addition and isolate m.

m+7=11

LHS-7=RHS-7

m+7-7=11-7

Add terms

m=4

To check that this solution is correct, let's substitute m=4 into the original equation and simplify.

m+7=11

m= 4

4+7? =11

Add terms

11=11 ✓

Since the left-hand side and right-hand side are equal, m=4 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