All topicsQuadratic EquationsCompleting the square

Grade 9 · Free practice

Completing the square

Rewrite a quadratic in vertex form and solve equations that resist factoring.

Standards:A-REI.B.4.a

Try it: three questions

Real questions from the practice bank. Tap an answer to check it.

Question 1 of 3

Complete the square to rewrite x² + 10x + 18 in the form (x + p)² + q. What is the value of q?

Question 2 of 3

Complete the square to rewrite x² − 6x + 5 in the form (x + p)² + q. What is the value of p?

Question 3 of 3

Complete the square to rewrite x² − 6x + 5 in the form (x + p)² + q. What is the value of p?

How this fits in

Completing the square is one skill in the Quadratic Equations unit. Students read the unit lesson, then earn a bronze, silver, or gold medal on their last 10 answers. Medals never go down. A mastered unit comes back for review after 1, 3, 7, 16, and 35 days so it stays learned.

Practice completing the square until it sticks

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