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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 36 Page 85

How can you eliminate the denominator on the left-hand side?

k=91

Practice makes perfect

To solve the equation we have to isolate k on one side. By multiplying both sides of the equation by 7, we can eliminate the denominator and isolate k.

k/7=13

LHS * 7=RHS* 7

k/7*7=13*7

FracMultDenomToNumber

a/7* 7 = a

k=13* 7

Multiply

k=91

Therefore, k=91 is the solution to the equation. To check that we have the correct solution, we can substitute k=91 into the original equation and simplify.

k/7=13

k= 91

91/7? =13

Calculate quotient

13=13

Since the left-hand side and right-hand side are equal, k=91 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