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Glencoe Math: Course 1, Volume 2 View details

2. Solve and Write Addition Equations

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Exercise 1 Page 528

Use the Subtraction Property of Equality to eliminate the constant on the left-hand side of the equation.

Practice makes perfect

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

y+7=10

SubEqn

LHS-7=RHS-7

y+7-7=10-7

SubTerm

Subtract term

y=3

To check that this solution is correct, let's substitute y=3 into the original equation and simplify.

y+7=10

Substitute

y= 3

3+7? =10

AddTerms

Add terms

10=10 ✓

Since the left-hand side and right-hand side are equal, y=3 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

Guided Practice p.528

Independent Practice p.529-530

H.O.T. Problems p.530

Standardized Test Practice p.530-532

Extra Practice p.531

Common Core Review p.532

Exercise 1 Page 528

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