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Pearson Algebra 1 Common Core, 2011 View details

2. Solving Two-Step Equations

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Exercise 72 Page 93

How can you isolate z?

6.5

Practice makes perfect

To solve the equation we have to isolate z on one of the sides. By adding 2 to both sides, we are using the Addition Property of Equality to isolate z.

z-2=4.5

AddEqn

LHS+2=RHS+2

z-2 +2=4.5 +2

AddTerms

Add terms

z=6.5

Therefore, z=6.5 is the solution to the equation. To check that we have the correct solution, we can substitute z=6.5 into the original equation and simplify.

z-2=4.5

Substitute

z= 6.5

6.5-2? =4.5

SubTerm

Subtract term

4.5=4.5 ✓

Since the left-hand side and right-hand side are equal, z=6.5 is the correct solution.