Quiz about Factoring by Completing the Squares

Question 1

When should you decide to Complete the Square?

Accepted Answer

When a = 1 and the middle term is even

Answer

When the a value is larger than 1

Answer

When the middle term is odd

Question 2

Decide on the best method:

x² + 2x = -9

Accepted Answer

Complete the Square

Answer

Isolation Method

Answer

Factor Method

Answer

Quadratic Formula

Question 3

Which method is the best method to solve the following: $$0=x^2-4x+1$$

Accepted Answer

Completing the Square

Answer

Isolation Method

Answer

Factoring

Answer

Quadratic Formula

Question 4

When factoring
x² - 4x + 4 = 20,
what goes in the blank?
(x - __ )² = 20

Accepted Answer

2

Answer

4

Answer

8

Answer

20

Question 5

Complete the square for
x² + 12x + ____

Accepted Answer

x² + 12x + 36

Answer

x² + 12x + 144

Answer

x² + 12x - 36

Answer

x² + +12x - 144

Question 6

Solve by completing the square.
$$x^2-6x-27=0$$

Accepted Answer

$$x=\left\{-3,\ 9\right\}$$

Answer

$$x=\left\{-9,\ -3\right\}$$

Answer

$$x=\left\{-9,\ 3\right\}$$

Answer

$$x=\left\{3,\ 9\right\}$$

Question 7

Solve by completing the square.
$$x^2-14x-15=0$$

Accepted Answer

$$x=\left\{-1,\ 15\right\}$$

Answer

$$x=\left\{1,\ 15\right\}$$

Answer

$$x=\left\{-15,\ -1\right\}$$

Answer

$$x=\left\{-15,\ 1\right\}$$

Question 8

Solve by completing the square.
$$x^2-4x-5=0$$

Accepted Answer

$$x=\left\{-1,\ 5\right\}$$

Answer

$$x=\left\{-5,\ 1\right\}$$

Answer

$$x=\left\{-5,\ -1\right\}$$

Answer

$$x=\left\{1,\ 5\right\}$$

Question 9

To solve by completing the square, what needs to be moved in this equation?
x² = 9 - 4x

Accepted Answer

the -4x

Answer

the 9

Answer

the x2

Question 10

What kind of "Special Case" is this? $$x^2-14x\ +49$$

Accepted Answer

Perfect Square Trinomial

Answer

DIfference of Squares

Answer

Not a Special Case

Question 11

What value should be added to complete the perfect square trinomial?

Accepted Answer

$$+64$$

Answer

$$+8$$

Answer

$$+16$$

Answer

$$+144$$

Question 12

When using the Completing the Squares method, what number would fill in the blank:

x²+12x ______ = 8 + _______

Accepted Answer

36

Answer

6

Answer

12

Answer

16

Question 13

You can solve the following by completing the square.

Accepted Answer

True

Answer

False

Question 14

Complete the square for

x² - 12x + ____

Accepted Answer

36

Answer

144

Answer

- 36

Answer

24

Question 15

Complete the square.

x² + 6x + ____

Accepted Answer

9

Answer

12

Answer

36

Answer

- 9

Factoring by Completing the Squares

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