Free Printable L4 Mixed Practice

1.

What number would complete the square for :
$x^2+6x+$ _____

a)

3

b)

6

c)

9

d)

36

2.

$x^2+10x+25=\left(x+blank\right)^2$
What number would fill in the blank?

(a)

3.

$x^2+8x+$ _____ = $\left(x+\ldots\right)^2$
$x^2+8x+16=\left(x+8\right)^2$
Is this correct or where is the mistake?

a)

The 16 should be a 64

b)

The 8 on the left should be a 4

c)

The 8 on the right should be a 4

d)

Correct

4.

$x^2-4x+\ldots=7+\ldots$ What value should be added to each side to solve by completing the square?

(a)

5.

$x^2-2x-15=0$ Solve by completing the square:

a)

x = 2 and x = 15

b)

x = -3 and x = 5

c)

x = -1 and x = 1

d)

x = 3 and x = -5

6.

$\left(x-5\right)^2-9=0$ Solve by completing the square:

a)

x = -5 and x = 9

b)

x = -4 and x = 14

c)

x = 2 and x = 8

d)

x = 3 and x = 5

7.

Which of these is the quadratic formula?

a)

$x=\frac{b\pm\sqrt{b^2-4ac}}{2}$

b)

$x=\frac{-b\pm\sqrt{b^2-4ac}}{2}$

c)

$x=\frac{b\pm\sqrt{b^2+4ac}}{2a}$

d)

$x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}$

8.

$3x^2-2x+7=0$ Which is correct to solve the following equation by the quadratic formula?

a)

$\frac{-2\pm\sqrt{\left(-2\right)^2-4\cdot3\cdot7}}{2\cdot3}$

b)

$\frac{-2\pm\sqrt{\left(-2\right)^2+4\cdot3\cdot7}}{2\cdot3}$

c)

$\frac{2\pm\sqrt{\left(-2\right)^2-4\cdot3\cdot7}}{2\cdot3}$

d)

$\frac{2\pm\sqrt{\left(-2\right)^2+4\cdot3\cdot7}}{2\cdot3}$

9.

$2x^2-5x-6=0$ Solve using the quadratic formula.

a)

$\frac{5\pm\sqrt{23}}{4}$

b)

$\frac{5\pm\sqrt{73}}{4}$

c)

$\frac{-5\pm\sqrt{17}}{4}$

d)

$\frac{-5\pm\sqrt{53}}{2}$

10.

Solve using the quadratic formula.
$8x^2-4x-3=0$

a)

x = -4.36 and x = -3.64

b)

x = 0.309 and x = -0.809

c)

x = -0.5 and x = 1

d)

x = -0.411 and x = 0.911

L4 Mixed Practice

Total questions: 10

Worksheet time: 5mins

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