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Pearson Algebra 1 Common Core, 2011

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Pearson Algebra 1 Common Core, 2011 View details

1. Solving One-Step Equations

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Exercise 42 Page 85

How can we isolate q on one side of the equation?

q=27

Practice makes perfect

To isolate q, we need to eliminate its coefficient with the multiplication and division Properties of Equality.

2/3q=18

MoveRightFacToNum

a/c* b = a* b/c

2q/3=18

LHS * 3=RHS* 3

2q/3* 3=18* 3

FracMultDenomToNumber

a/3* 3 = a

2q=18* 3

.LHS /2.=.RHS /2.

2q/2=18* 3/2

Calculate quotient

q=18* 3/2

a/b=.a /2./.b /2.

q=9* 3

Multiply

q=27

The solution is q=27. We can test this solution by substituting it into the original equation.

2q/3=18

q= 27

2* 27/3? =18

LHS * 3=RHS* 3

2* 27/3* 3? =18* 3

FracMultDenomToNumber

a/3* 3 = a

2* 27? =18* 3

Multiply

54=54

The left-hand side and right-hand side are equal, so q=27 is the correct solution.

Subchapter links

Lesson Check p.85

Practice and Problem-Solving Exercises p.85-87

Standardized Test Prep p.87

Mixed Review p.87