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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 41 Page 85

Isolate k on the left-hand side.

k=-17

Practice makes perfect

To solve the equation we have to isolate k on one side of the equation. We can start by multiplying both sides by 4.

k/4=-17/2

LHS * 4=RHS* 4

k/4* 4=-17/2* 4

FracMultDenomToNumber

a/4* 4 = a

k=-17/2* 4

MoveRightFacToNum

a/c* b = a* b/c

k=-17 * 4/2

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

k=- 17 * 2

Multiply

k=- 34

k=-34 is the solution to the equation. We can check our solution by substituting this value into the original equation and simplifying.

k/4=-17/2

k= -34

-34/4? =-17/2

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

-17/2? =-17/2

MoveNegNumToFrac

Put minus sign in front of fraction

-17/2=-17/2

Because the left and right-hand sides are equal, we know that k=- 17 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