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Pearson Algebra 1 Common Core, 2011 View details

Chapter Review

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Exercise 7 Page 153

Start by using the Addition Property of Equality.

7

Practice makes perfect

To solve the equation, we have to isolate a on one side. We will begin by adding 2.5 to both sides. This is allowed by the Addition Property of Equality.

a-2.5=4.5

AddEqn

LHS+2.5=RHS+2.5

a - 2.5 + 2.5 = 4.5+2.5

AddTerms

Add terms

a = 7

Therefore, a= 7 is the solution to the equation. To check that we have the correct solution, we can substitute a = 7 into the original equation and simplify.

a-2.5=4.5

Substitute

a= 7

7-2.5? =4.5

SubTerm

Subtract term

4.5 = 4.5

Since the left-hand side and the right-hand side are equal, a = 7 is the correct solution.