Free Printable Extracting Square Roots and Completing the Square

1.

Solve for the roots of the given quadratic equation x² = 36 by extracting the root.

a)

x = 6

b)

x = - 6

c)

x = 6, x = - 6

d)

x = 6, x = 6

2.

Solve for the roots of the given quadratic equation w² - 49 = 0 by extracting the root.

a)

w = 7

b)

w = -7

c)

w = 7, w= -7

d)

w = 7, w= 7

3.

Solve for the roots of the given (x – 9)²= 64 quadratic equation by extracting the root.

a)

x = 1, x = 17

b)

x = 3 , x = 8

c)

x = -1 , x = 17

d)

x = -3 , x = 8

4.

Solve for the roots of the given quadratic equation r2 +100 = 0 by extracting the root.

a)

r = 10 , r = -10

b)

r = 10i , r = -10i

c)

r = -10i , r = -10i

d)

r = 10, r = 10i

5.

Use the square root property to solve for the roots of the given quadratic equations 3(x – 3)² = 27

a)

x\ =\frac{1}{3}\ ,\ x\ =\ 6

b)

$x\ =\ 0,\ x\ =\ 6$

c)

$x\ =\ -\ 6\ ,\ x\ =\ 0$

d)

$x=\frac{1}{3},\ x\ =\ 9$

6.

In the given perfect square trinomial

x^2+\ 8x\ +

,find the missing term.

a)

4

b)

16

c)

64

d)

256

7.

What must be the middle term to make the equation

x^2\ \ \ \ \ +\ 9\ =\ \left(x+3\right)\left(x+3\right)

correct?

(a)

8.

Complete the missing terms and its complete factorization:

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

a)

5/16 = (x + 5/4)(x + 5/4)

b)

25/4 = (x - 5/4)(x - 5/4)

c)

25/4 = (x + 5/4)(x + 5/4)

d)

25/16 = (x - 5/4)(x - 5/4)

9.

Multiply and solve

\left(2x+\frac{3}{2}\right)\left(2x+\frac{3}{2}\right)

a)

$x^2\ +\ 6x\ +\ \frac{9}{4}$

b)

$4x^2\ +\ 6x\ +\ \frac{9}{4}$

c)

$x^2\ -\ 6x\ +\ \frac{9}{4}$

d)

$4x^2\ +\ 6x\ +\ \frac{9}{2}$

10.

What is it that lives if it is fed, and dies if you give it a drink?

(a)

Extracting Square Roots and Completing the Square

Total questions: 10

Worksheet time: 7mins

Similar Resources on Wayground