Free Printable COMPLETING THE SQUARE

1.

Write the following quadratic expression in completing square form
$x^2+4x+10$

a)

$\left(x+4\right)^2+6$

b)

$\left(x+2\right)^2+6$

c)

$\left(x+4\right)^2-6$

d)

$\left(x+2\right)^2-6$

2.

Write the following quadratic expression in completing square form $x^2+8x+2$

a)

$\left(x+4\right)^2-14$

b)

$\left(x+4\right)^2-6$

c)

$\left(x+4\right)^2-18$

d)

$\left(x+4\right)^2+6$

3.

Write the following quadratic expression in completing square form
$x^2+8x-1$

a)

$\left(x+4\right)^2-15$

b)

$\left(x+4\right)^2-16$

c)

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

d)

$\left(x+4\right)^2-17$

4.

Write the following quadratic expression in completing square form
$x^2+10x+13$

a)

$\left(x+5\right)^2+12$

b)

$\left(x+5\right)^2+3$

c)

$\left(x+5\right)^2-12$

d)

$\left(x+5\right)^2-15$

5.

Write the following quadratic expression in completing square form
$x^2+10x-4$

a)

$\left(x+5\right)^2-21$

b)

$\left(x+5\right)^2-29$

c)

$\left(x+5\right)^2+14$

d)

$\left(x+5^2\right)-13$

6.

Write the following quadratic expression in completing square form
$x^2-10x+18$

a)

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

b)

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

c)

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

d)

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

7.

Write the following quadratic expression in completed square form
$x^2+10x+13$

a)

$\left(x+5\right)^2-12$

b)

$\left(x+5\right)^2+3$

c)

$\left(x+5\right)^2+12$

d)

$\left(x+5\right)^2-15$

8.

Write the following quadratic expression in completing square form
$x^2-6x-3$

a)

$\left(x-3\right)^2-12$

b)

$\left(x-3\right)^2-6$

c)

$\left(x-3\right)^2+6$

d)

$\left(x-3\right)^2+3$

9.

Write the following quadratic expression in completing square form

$x^2+10x-4$

a)

$\left(x+5\right)^2-21$

b)

$\left(x+5\right)^2+29$

c)

$\left(x+5\right)^2+14$

d)

$\left(x+5\right)^2-29$

10.

Write the following quadratic expression in completing square form
$x^2-14x+36$

a)

$\left(x+7\right)^2+13$

b)

$\left(x-7\right)^2-13$

c)

$\left(x-7\right)^2+13$

d)

$\left(x+7\right)^2-13$

11.

Write the following quadratic expression in completing square form
$-x^2-4x+1$

a)

$-\left[\left(x+2\right)^2+5\right]$

b)

$-\left[\left(x-2\right)^2-5\right]$

c)

$-\left[\left(x-2\right)^2+5\right]$

d)

$-\left[\left(x+2\right)^2-5\right]$

12.

Write the following quadratic expression in completing square form
$-2x^2+20x+10$

a)

$-2\left[\left(x-5\right)^2+20\right]$

b)

$-2\left[\left(x-5\right)^2+30\right]$

c)

$-2\left[\left(x-5\right)^2-30\right]$

d)

$-2\left[\left(x-5\right)^2-20\right]$

13.

Find the minimum or maximum point of the graph
$x^2-4x+8$

a)

Min (-2,4)

b)

Min (2,4)

c)

Max (-2,4)

d)

Max (2,4)

14.

Find the minimum or maximum point of the graph $x^2+12x+4$

a)

Max (-6,-32)

b)

Max (6,-32)

c)

Max (6,-32)

d)

Min (-6,-32)

15.

Find the minimum or maximum point of the graph $-x^2-4x+1$

a)

Min (-2,-5)

b)

Max (-2,-5)

c)

Max (-2,5)

d)

Min (2,-5)

16.

Write the following quadratic expression in completed square form
$-x^2-4x+1$

a)

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

b)

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

c)

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

d)

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

17.

Write the following quadratic expression in completed square form
$-2x^2+20x+10$

a)

$-2\left(x-5\right)^2+20$

b)

$-2\left(x-5\right)^2+60$

c)

$-2\left(x-5\right)^2-30$

d)

$-2\left(x-5\right)^2-60$

18.

Write the following quadratic expression in completing square form.

$x^2+14x+50$

a)

$\left(x+7\right)^2+1$

b)

$\left(x+7\right)^2-1$

c)

$\left(x-7\right)^2+1$

d)

$\left(x+7\right)^2-1$

19.

Write the following quadratic expression in completing square form.

$x^2-12x+25$

a)

$\left(x-6\right)^2+13$

b)

$\left(x-6\right)^2-11$

c)

$\left(x-6\right)^2+11$

d)

$\left(x+6\right)^2-13$

20.

Solve the following quadratics equation by completing the square.

$x^2+2x-10=0$

a)

$x=-1\pm\sqrt{11}$

b)

$x=1\pm\sqrt{11}$

c)

$x=11\pm\sqrt{1}$

d)

$x=-11\pm\sqrt{1}$

COMPLETING THE SQUARE

Total questions: 20

Worksheet time: 35mins

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