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Pearson Algebra 1 Common Core, 2011 View details

1. Solving One-Step Equations

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Exercise 39 Page 85

How can you isolate q on one side?

q=81

Practice makes perfect

To solve the equation we have to isolate q on one side. By multiplying both sides of the equation by -9, we can eliminate the denominator and isolate q.

q/-9=-9

MultEqn

LHS * -9=RHS* -9

q/-9(-9)=-9(-9)

FracMultDenomToNumber

a/-9* -9 = a

q=-9(-9)

MultNegNegOnePar

- a(- b)=a* b

q=81

Therefore, q=81 is the solution to the equation. To check that we have the correct solution, we can substitute q=81 into the original equation and evaluate.

q/-9=-9

Substitute

q= 81

81/-9? =-9

MoveNegDenomToFrac

Put minus sign in front of fraction

-81/9? =-9

CalcQuot

Calculate quotient

-9=-9

Since the left-hand side and right-hand side are equal, q=81 is the correct solution.