Completing the Square with Algebra Tiles

What shape do perfect square trinomials visually form when represented with algebra tiles?

• Rectangle

• Circle

• Triangle

• Square

What is the secret number needed to complete the square for the polynomial x^2 + 12x?

• 18

• 36

• 6

• 12

In the example with x^2 - 10x, what is the magic number added to make it a perfect square trinomial?

• 5

• 25

• 10

• 15

How is the leftover number calculated in the example where the polynomial starts with x^2 + 6x + 15?

• None of the above

• Subtract 9 from 15

• Add 9 to 15

• Multiply 6 by 6

What is the factored form of the polynomial after completing the square for x^2 + 8x - 2?

• x - 4^2 + 18

• x - 4^2 - 18

• x + 4^2 + 18

• x + 4^2 - 18

What is the correct expression for the chunk squared in the example with x^2 + 6x + 15?

• x - 3^2 + 6

• x - 3^2 - 6

• x + 3^2 + 6

• x + 3^2 - 6

For the polynomial x^2 - 10x, what is the factored form after completing the square?

• x + 10^2

• x - 5^2

• x + 5^2

• x - 10^2

In the final example, what is the leftover number after completing the square for x^2 - 4x - 7?

• 4

• -3

• -7

• 7

What is the factored form of the polynomial x^2 - 12x + 36?

• x - 6^2

• x + 6^2

• x - 12^2

• x + 12^2

How many units are left over after completing the square for the polynomial x^2 + 8x - 2?

• -18

• 18

• -8

• 8