Free Printable 9th Q2 quiz 6

1.

Say 'TRUE' or 'FALSE'

Every Quadratic equation has exactly one root

a)

TRUE

b)

FALSE

2.

The positive real root of the equation : 64x² - 1 = 0 is ______

a)

8

b)

⅛

c)

1⁄16

d)

1⁄4

3.

Solve the equation by factoring.

a)

x = {3,8}

b)

x = {-3,8}

c)

x = {3,-8}

d)

x = {-3,-8}

4.

Solve the equation by factoring.

a)

x = {1}

b)

x = {-1}

c)

x = { }

d)

no solution

5.

One solution of the quadratic equation
x²-7x+12=0 is

a)

x=3

b)

x=2

c)

x=-3

d)

x=-2

6.

Which of the followig trinomial is perfect square trinomial?

a)

x²+4x+9

b)

x²-22x-121

c)

x²+4x-9

d)

x²-22x+121

7.

Solve by factoring

a)

-4, 2

b)

-2, 4

c)

-16

d)

-4

8.

How long was the rocket in the air?

a)

3 seconds

b)

5 seconds

c)

9 seconds

d)

6 seconds

9.

If the rocket was at a height of 5 feet at 1 seconds, at what other time was the rocket at a height of 5 feet?

a)

It was never at 5 feet again.

b)

6 seconds

c)

5 sconds

d)

3 seconds

10.

What is the equation of this parabola in its factored form?

a)

y=(x+1)(x+3)

b)

y=(x-1)(x-3)

c)

y=-(x+1)(x+3)

d)

y=-(x-1)(x-3)

11.

What is the factored quadratic equation in the following graph?

a)

y=(x+2)(x+6)

b)

y=x²-8x+12

c)

y=(x-2)(x-6)

d)

y=(x-4)(x+4)

12.

The length of a rectangle is 4 cm more than its width. The area of the rectangle is 96 sq. cm. Find its dimensions.

a)

4 cm by 8 cm

b)

6 cm by 10 cm

c)

8 cm by 12 cm

d)

10 cm by 14 cm

13.

At what time would you reach 16 ft above the water if you jump of a cliff using the formula:
h = -16t² + 8t + 24?

a)

8

b)

1

c)

1/2

d)

1/4

14.

The function f(t) = -5t²+20t + 60 models the approximate height of an object t seconds after it is launched. How many seconds does it take the object to hit the ground?

a)

4 seconds

b)

-2 seconds

c)

-6 seconds

d)

6 seconds

15.

A ball rolls off a table top and strikes the floor as shown. Given the measurements made, the time the projectile spent in the air is ---.

a)

17 s

b)

0.34 s

c)

0.58 s

d)

0.49 s

16.

Juan is standing on the top observation deck of the Eiffel Tower in Paris at a height of 300 meters. He drops his cell phone. How many second later will it hit the ground?

a)

4.3 s

b)

5 s

c)

3.5 s

d)

6.4 s

17.

If a parabola opens upward and has roots at (3,0) and (-9,0), what is the equation?

a)

y = a(x - 3)(x - 9), a > 0

b)

y = a(x - 3)(x + 9), a < 0

c)

y = a(x - 3)(x - 9), a < 0

d)

y = a(x - 3)(x + 9), a > 0

18.

What is the axis of symmetry for the quadratic

y=2\left(x-3\right)\left(x-2\right)

a)

x=5

b)

x=5/2

c)

x=-5

d)

x=-5/2

19.

4a² - 25

a)

(2a + 5) (2a - 5)

b)

(2a - 5) (2a - 5)

c)

(x + 5) (x - 5)

d)

Can't factor using Diff. of Squares

20.

Find the factors of k² - 49. Select all that apply.

a)

(k + 13)(k - 13)

b)

(k + 7)(k - 7)

c)

(k + 5)(k - 5)

d)

(k - 7)(k + 7)

e)

(k - 13)(k + 13)

21.

√128

a)

64√2

b)

16

c)

2√8

d)

8√2

22.

a)

A

b)

B

c)

C

d)

D

23.

Rationalize the denominator.

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

a)

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

b)

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

c)

$\frac{\sqrt{6}}{3}$

d)

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

24.

Fully simplify....

a)

b)

c)

d)

25.

a)

A

b)

B

c)

C

d)

D

26.

What should you multiply $\frac{6}{1-\sqrt{5}}$ by to rationalize the denominator?

a)

-4

b)

$1-\sqrt{5}$

c)

$1+\sqrt{5}$

d)

$-\frac{\left(3-3\sqrt{5}\right)}{2}$

27.

$\frac{-2}{1+\sqrt{6}}$ Rationalize the following:

a)

$\frac{1+\sqrt{6}}{-2}$

b)

$\frac{-2+2\sqrt{6}}{-5}$

c)

$-\frac{2\sqrt{6}}{6}$

d)

$-2\sqrt{6}$

9th Q2 quiz 6

Total questions: 27

Worksheet time: 1hrs 6mins

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