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Pearson Algebra 1 Common Core, 2011 View details

1. Solving One-Step Equations

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Exercise 16 Page 85

How can you isolate k on one side?

k=-20

Practice makes perfect

To solve the equation we have to isolate k on one side. By subtracting 3 from both sides, we can cancel out the 3 and isolate k.

- 17=3+k

SubEqn

LHS-3=RHS-3

- 17-3=3+k-3

RearrangeEqn

Rearrange equation

- 17-3=k+3-3

SubTerms

Subtract terms

-20=k

RearrangeEqn

Rearrange equation

k=-20

Therefore, k=-20 is the solution to the equation. To check that we have the correct solution, we can substitute k=-20 into the original equation and simplify.

- 17=3+k

Substitute

k= -20

- 17? = 3+ ( -20)

AddNeg

a+(- b)=a-b

- 17? = 3-20

SubTerms

Subtract terms

-17=-17

Since the left-hand side and right-hand side are equal, k=-20 is the correct solution.