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IM Alg1.7.13 Lesson: Completing the Square (Part 2)

Solve each equation mentally.

Solve these equations by completing the square.

Show that the equation is equivalent to .

Write an equation that is equivalent to and that includes .

Does this method help you find solutions to the equations? Explain your reasoning.

Here are four equations, followed by worked solutions of the equations. Each solution has at least one error.

  • Solve one or more of these equations by completing the square.
  • Then, look at the worked solution of the same equation as the one you solved. Find and describe the error or errors in the worked solution.

Worked solution (with errors):

Worked solution (with errors):

Worked solution (with errors):

Worked solution (with errors):