Free Printable Completing the Square

1.

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

x_{ }^2+8x+c

a)

-4

b)

4

c)

8

d)

16

2.

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

x^2+28x+c

a)

28

b)

14

c)

196

d)

56

3.

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

a^2-22a+c

a)

-121

b)

121

c)

11

d)

-11

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.

k^2-18k+c

(a)

6.

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

n^2-20n+c

a)

$10;\ \left(n-10\right)^2$

b)

$100;\ \left(n-10\right)^2$

c)

$100;\ \left(n+10\right)^2$

d)

$10;\ \left(n+10\right)^2$

7.

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

x^2-2x+c

a)

$1;\ \left(x-2\right)^2$

b)

$4;\ \left(x-2\right)^2$

c)

$1;\ \left(x-1\right)^2$

d)

$4;\ \left(x-1\right)^2$

8.

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

p^2+14p+c

a)

$49;\ \left(p+7\right)^2$

b)

$7;\ \left(p+7\right)^2$

c)

$49;\ \left(p+14\right)^2$

d)

$7;\ \left(p+49\right)^2$

9.

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

m_{ }^2+4m+c

a)

$4;\ \left(m+4\right)^2$

b)

$2;\ \left(m+2\right)^2$

c)

$2;\ \left(m+4\right)^2$

d)

$4;\ \left(m+2\right)^2$

10.

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)

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

Completing the Square

Total questions: 10

Worksheet time: 6mins

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