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IM Alg1.7.12 Practice: Completing the Square (Part 1)

Add the number that would make the expression a perfect square. Next, write an equivalent expression in factored form.

Mai is solving the equation . She writes: Jada looks at Mai’s work and is confused. She doesn’t see how Mai got her answer. Complete Mai’s missing steps to help Jada see how Mai solved the equation.

Solve each equation by completing the square.



Rewrite each expression in standard form.

To find the product without a calculator, Priya wrote . Very quickly, and without writing anything else, she arrived at 39,991. Explain how writing the two factors as a sum and a difference may have helped Priya.

A basketball is dropped from the roof of a building and its height in feet is modeled by the function . Here is a graph representing . Select all the true statements about this situation.

Select all that apply
  • A
  • B
  • C
  • D
  • E
  • F
Check my answer (3)

A group of students are guessing the number of paper clips in a small box. The guesses and the guessing errors are plotted on a coordinate plane. What is the actual number of paper clips in the box?​​​​​​