Grade 9 · Math · Algebra 1

9th grade Complete the square, and solve by completing the square worksheet

6 printable versionsChallenge Me10 questions · answer keyFree · no account

Level: Building Confidence · On Level · Challenge Me

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Complete the square, and solve by completing the square

Grade 9 Math Worksheet - Challenge Me

NameDate

Circle the best answer, or write your answer on the line.

Noah solves 2x² + 4x = 96 by completing the square. What is the larger solution?
Pia's robot solves 2x² - 4x = 96, one step at a time. What is the smaller solution?
Ren solves 3x² + 6x = 72 in pencil. What is the smaller solution?
In math club, Tala solves 2x² + 12x = 14. What is the smaller solution?
Zee solves x² + 3x = 5 by completing the square. What is the larger solution, to the nearest tenth?
Bo's robot solves x² - 7x = 3 and rounds at the very end. What is the larger solution, to the nearest tenth?
In math club, Esme solves x² - x = 4. What is the smaller solution, to the nearest tenth?
Jun rewrites 2x² - 12x + 7 as 2(x - 3)² + k. What is k?
Luz rewrites 3x² + 12x + 5 as 3(x + 2)² + k to find the lowest row. What is k?
Milo's robot rewrites 2x² + 20x + 9 as 2(x + 5)² + k. What is k?

Complete the square, and solve by completing the square. Every version has 10 questions, and the answer key prints on the second page.

Standard: A-REI.B.4a, A-SSE.B.3b

complete the square: Add the corner number so the expression is a bracket squared.

corner: The small square (half of the x number, squared) that fills the gap.

perfect square: A bracket times itself, like (x + 5)².

vertex form: a(x - h)² + k: the lowest (or highest) row of the table.

both sides: Whatever is added on the left is added on the right.

Your child added half of the x number instead of half of it squared.

Your child squared the whole x number instead of half of it.

Your child put the whole x number in the bracket.

Ask: if each strip is 5 wide, how big is the corner square?

Ask: the 10x is split into two strips; how wide is each?

Ask: what is (x + 12)² multiplied out?

What is the most common mistake with complete the square, and solve by completing the square?

Your child added half of the x number instead of half of it squared.

How can I help my child with complete the square, and solve by completing the square?

Ask: if each strip is 5 wide, how big is the corner square?

Are these 9th grade math worksheets free to print?

Yes. All 6 printable versions at each level are free to print, with the answer key, and no account is needed.

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