Quiz about Completing the Square Quadratic

Question 1

To complete the perfect square trinomial in the expression x²-22x+_____, we need to add

Accepted Answer

121

Answer

11

Answer

44

Answer

144

Question 2

Complete the square for
x² + 12x + ____

Accepted Answer

x² + 12x + 36

Answer

x² + 12x + 144

Answer

x² + 12x - 36

Answer

x² + +12x - 144

Question 3

Complete the square.
x² + 14x + ____

Accepted Answer

x² + 14x + 49

Answer

x² + 14x - 196

Answer

x² + 14x - 49

Answer

x² + 14x + 196

Question 4

Complete the square for the equation:

Accepted Answer

$$\left(x-5\right)^2=18$$

Answer

$$\left(x+5\right)^2=18$$

Answer

$$\left(x-5\right)^2=-7$$

Answer

$$\left(x+5\right)^2=-7$$

Question 5

$$m^2-16m\ =\ -59$$ What number would you add to both sides of this equation to complete the square?

Accepted Answer

64

Answer

-8

Answer

16

Answer

256

Question 6

John is planning to build a rectangular garden and he wants the area of the garden to be represented by the quadratic equation $$x^2 + 10x + 16 = 0$$ . To determine the possible dimensions (x) of the garden, he needs to solve this equation. Complete the square to find the value of x.

Accepted Answer

$$x = -5 \pm \sqrt{9}$$

Answer

$$x = -5 \pm \sqrt{1}$$

Answer

$$x = 5 \pm \sqrt{9}$$

Answer

$$x = 5 \pm \sqrt{1}$$

Question 7

A rocket's trajectory is modeled by the equation $$x^2 - 12x + 27 = 0$$ , where $$x$$ represents the time in seconds after launch, and the equation gives its altitude. To predict the time when the rocket will reach its peak altitude, complete the square.

Accepted Answer

$$x = 6 \pm \sqrt{9}$$

Answer

$$x = 6 \pm \sqrt{12}$$

Answer

$$x = 6 \pm \sqrt{15}$$

Answer

$$x = 6 \pm \sqrt{18}$$

Question 8

A farmer is planning to create a rectangular enclosure for her sheep. She wants the area of the enclosure to be represented by the quadratic equation $$2x^2 - 8x - 10 = 0$$ , where $$x$$ is the length of the enclosure in meters. Help her determine the possible lengths of the enclosure by completing the square.

Accepted Answer

$$x = 2 \pm \sqrt{12}$$

Answer

$$x = 2 \pm \sqrt{5}$$

Answer

$$x = 4 \pm \sqrt{12}$$

Answer

$$x = 4 \pm \sqrt{5}$$

Question 9

John is trying to calculate the dimensions of a garden that is shaped like a quadratic equation $$x^2 + 6x + 8 = 0$$ . Help him by completing the square.

Accepted Answer

$$x = -3 \pm \sqrt{1}$$

Answer

$$x = -3 \pm \sqrt{7}$$

Answer

$$x = 3 \pm \sqrt{1}$$

Answer

$$x = 3 \pm \sqrt{7}$$

Completing the Square Quadratic

20 questions

To complete the perfect square trinomial in the expression x²-22x+_____, we need to add

Complete the square for
x² + 12x + ____

Complete the square.
x² + 14x + ____

Solve the following quadratics equation by completing the square...

x² + 4x + 1 = 0

Lori is completing the square to solve the quadratic equation. Which equation is the result of correctly completing the square?

Complete the square for the equation:

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Completing the Square Quadratic

20 questions

To complete the perfect square trinomial in the expression x2-22x+_____, we need to add

Complete the square for x2 + 12x + ____

Complete the square.x2 + 14x + ____

Solve the following quadratics equation by completing the square...x2 + 4x + 1 = 0

Lori is completing the square to solve the quadratic equation. Which equation is the result of correctly completing the square?​

Complete the square for the equation:

Create a free account and access millions of resources

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics

To complete the perfect square trinomial in the expression x²-22x+_____, we need to add

Complete the square for
x² + 12x + ____

Complete the square.
x² + 14x + ____

Solve the following quadratics equation by completing the square...

x² + 4x + 1 = 0

Lori is completing the square to solve the quadratic equation. Which equation is the result of correctly completing the square?