Grade 10 Academic (MPM2D) · Quadratics

Completing the Square

30 tutor-authored questions for this Ontario curriculum expectation, ordered easiest to hardest, every one with a full worked solution. Work through all 30 with your weekly-lesson access code.

Start the 30 questions Curriculum: MPM2D-QU.5

Sample: the first question, solved

Complete the square for y=x²+4x+3.

📘 Worked solution
y=(x+2)²−1.

And one from the hard end

"A rectangular field has perimeter 200m. If length is L, area is A=L(100−L)=−L²+100L. Complete the square to find the dimensions that maximize area."

Solution shown after you try it in practice mode.

Work through all 30, easiest to hardest

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