Free Printable Completing the square (a=1)

1.

$\sqrt{96}$

a)

$16\sqrt{6}$

b)

$2\sqrt{6}$

c)

$4\sqrt{6}$

d)

$\sqrt{2}$

2.

$\sqrt{243}$

a)

$3\sqrt{3}$

b)

$9\sqrt{3}$

c)

$81\sqrt{3}$

d)

$3\sqrt{81}$

3.

What do you do to the b value to correctly complete the square?

a)

square it

b)

divide it by 2 and square the result

c)

divide it by 2 and take the square root of the result

d)

divide it by 2 only

4.

Find the value of "c" that completes the square.

t^2+7t+c

a)

$\frac{7}{2}$

b)

3.5

c)

$\frac{49}{4}$

d)

$\frac{49}{2}$

5.

Find the value of "c" that completes the square. Then rewrite the trinomial as a perfect square.

b^2-12b+c

a)

$36;\ \left(b+6\right)^2$

b)

$36;\ \left(b-6\right)^2$

c)

$6;\ \left(b-36\right)^2$

d)

$6;\ \left(b-6\right)^2$

6.

What is the first step to solve this quadratic equation by completing the square? $x^2-10x+21\ =\ 0$

a)

Set the equation equal to zero

b)

Add $x^2$ and $10x$ together

c)

Divide 10 by 2 and add the result to both side

d)

Subtract the 21 from both sides

7.

When solving $x^2-8x-7=0$ by completing the square, which equation is a step in the process?

a)

$\left(x-4\right)^2=9$

b)

$\left(x-4\right)^2=23$

c)

$\left(x-8\right)^2=9$

d)

$\left(x-8\right)^2=23$

8.

Solve by completing the square.
x² +12x = 5

a)

X = 6 + √41 or 6 − √41

b)

X= 35 or 47

c)

X = −6 + √41 or −6 − √41

d)

X = √35 or √47

9.

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

x² + 4x + 1 = 0

a)

x = -2 ± √3

b)

x = -3 ± √2

c)

x = 2 ± √3

d)

x = 2 ± √2

10.

The zeros of $x^2-5x-4$ are

a)

1 and 4

b)

$\frac{5\pm\sqrt{41}}{2}$

c)

-1 and -4

d)

$\frac{-5\pm\sqrt{41}}{2}$

11.

The zeros of $x^2-6x-19$ are

a)

$3\pm2\sqrt{7}$

b)

$-3\pm2\sqrt{7}$

c)

$3\pm4\sqrt{14}$

d)

$-3\pm4\sqrt{14}$

Completing the square (a=1)

Total questions: 11

Worksheet time: 21mins

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