Quiz about Quiz - Completing the Square

Question 1

Complete the expression to make it a perfect square trinomial: $$x^2+20x+\ \ \ \ \ \ $$

Accepted Answer

$$x^2+20x+100$$

Answer

$$x^2+20x+50$$

Answer

$$x^2+20x+10$$

Answer

$$x^2+20x+200$$

Question 2

Complete the expression to make it a perfect square trinomial: $$x^2+\frac{7}{5}x+\ \ \ \ \ \ $$

Accepted Answer

$$x^2+\frac{7}{5}x+\frac{49}{100}$$

Answer

$$x^2+\frac{7}{5}x+\frac{14}{10}$$

Answer

$$x^2+\frac{7}{5}x+\frac{49}{25}$$

Answer

$$x^2+\frac{7}{5}x+\frac{14}{25}$$

Question 3

Which of the following is the equivalent expression of $$x^2-26x+169$$ ?

Accepted Answer

$$\left(x-13\right)^2$$

Answer

$$\left(x-169\right)^2$$

Answer

$$\left(x+13\right)^2$$

Answer

$$\left(x+169\right)^2$$

Question 4

Which of the following is the equivalent equation of $$x^2-18x=63$$ ?

Accepted Answer

$$x^2-18x+81=144$$

Answer

$$x^2-18x+18=81$$

Answer

$$x^2-18x+36=99$$

Answer

$$x^2-18x+324=387$$

Question 5

What should be the value of b to make the expression a perfect square trinomial?

$$x^2+b+289$$

Accepted Answer

$$34x$$

Answer

$$17x$$

Answer

$$-34x$$

Answer

$$-17x$$

Question 6

What is the correct order for solving quadratic equations by completing the square.

Accepted Answer

1. Move the constant to the right side

2. Add $$\left(\frac{b}{2}\right)^2$$ on both sides of the equation.

3. Factor the perfect square trinomial

4. Write two equations and solve

Answer

1. Move the constant to the right side.

2. Factor the perfect square trinomial

3. Add $$\left(\frac{b}{2}\right)^2$$ on both sides of the equation.

4. Write two equations and solve

Answer

1. Add $$\left(\frac{b}{2}\right)^2$$ on both sides of the equation.

2. Move the constant to the right side

3. Factor the perfect square trinomial

4. Write two equations and solve

Answer

1. Add $$\left(\frac{b}{2}\right)^2$$ on both sides of the equation.

2. Move the constant to the right side

3. Write two equations and solve

4. Factor the perfect square trinomial.

Question 7

Which of the following equations best represent the given diagram?

Accepted Answer

$$x^2-15x=250$$

Answer

$$x^2+15x=250$$

Answer

$$x^2-15x=-250$$

Answer

$$x^2+15x=-250$$

Question 8

What is the measurement of the longest side of the shaded region?

Accepted Answer

$$25\ cm^{ }$$

Answer

$$15\ cm^2$$

Answer

$$25\ cm^2$$

Answer

$$10\ cm$$

Question 9

What is the measurement of the longest side of the shaded region?

Accepted Answer

$$20\ cm^{ }$$

Answer

$$15\ cm^2$$

Answer

$$20\ cm^2$$

Answer

$$15\ cm$$

Question 10

Which of the following equations represent the given diagram?

Accepted Answer

$$\left(x+\frac{5}{2}\right)^2=\frac{1225}{4}$$

Answer

$$\left(x-\frac{5}{2}\right)^2=\frac{1225}{4}$$

Answer

$$\left(x+\frac{5}{2}\right)^2=\frac{-1175}{4}$$

Answer

$$\left(x-\frac{5}{2}\right)^2=-\frac{1175}{4}$$

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