Free Printable LONG QUIZ #3 for Gr. 9 "Quadratic equations using any method

1.

Determine the values of

a, b, and c for

the quadratic equation:

4x² – 8x = 3

a)

a = 4, b = -8, c = 3

b)

a = 4, b = 8, c = 3

c)

a = 4, b =-8, c =-3

d)

a = 4, b = 8, c = -3

2.

Factor 6x²-27x

a)

(6x+1)(x+3)

b)

6x(x-9)

c)

3x(2x-9)

d)

(3x-9)(2x+3)

3.

The solutions of the quadratic equation

x²+2x-15=0 are

a)

x₁ = 3 and x₂ = 5

b)

x₁ = -5 and x₂ = 3

c)

x₁ = 5 and x₂ = -3

d)

x₁ = -3 and x₂ = -5

4.

Factor x²+ 6x + 9 and solve for x.

a)

(x+3)(x+3); x = -3

b)

(x-3)(x-3); x=3

c)

(x+4)(x+5); x=-4, -5

d)

Not factorable

5.

$x^2+2x−3=0$

a)

Quadratic

b)

Not Quadratic

6.

$2x-3=0$

a)

Quadratic

b)

Not Quadratic

7.

$\frac{2x+y}{x^2-3}$

a)

Quadratic

b)

Not Quadratic

8.

$m^4−2m+3=0$

a)

Quadratic

b)

Not Quadratic

9.

Identify the 'b' value: 16x² -8x -24 = 0

a)

16

b)

8

c)

-8

d)

-24

10.

The quadratic formula can be used to solve quadratic equations that cannot be factored.

a)

True

b)

False

11.

Simplify $\sqrt{-25}$

a)

$\pm5$

b)

$\pm5i$

c)

$-5$

d)

$5i$

12.

Solve using the quadratic formula.

2x² - 9x - 35 = 0

a)

x₁ = 7/2, x₂ = -6

b)

x₁ = -3/7, x₂ =6

c)

x₁ = -5/2, x₂ =5

d)

x₁ = -5/2, x₂ = 7

13.

Solve using the Quadratic Formula:

x² + 4x + 3 = 0

a)

x₁ = 1 and x₂ = 3

b)

x₁ = -1 and x₂ = -3

c)

x₁ = 6 and x₂ = -2

d)

x₁ = 2 and x₂ = -2

14.

Solve by factoring: x² = 7x + 18

a)

-7 and -18

b)

9 and -2

c)

9 and 2

d)

2 and 7

15.

What is this formula?

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

a)

This is the speed of light formula.

b)

This is the zero product property.

c)

This is the quadratic formula.

d)

This is scary.

16.

Solve by the Extracting Square roots: -5x² = -50

a)

± 5

b)

$\pm\sqrt{10}$

c)

± 10

d)

-10

17.

Solve by the Extracting Square roots:

(x - 2) ² = 49

a)

9 and -5

b)

± 5

c)

± 9

d)

± 7

18.

Find the missing value "c" to create a perfect square trinomial:

x² – 8x + ___

a)

-4

b)

4

c)

16

d)

8

19.

Complete the square for

x² + 12x + ____

a)

x² + 12x + 144

b)

x² + 12x - 36

c)

x² + 12x + 36

d)

x² + 12x - 144

20.

Complete the square.

x² + 14x + ____

a)

x² + 14x - 196

b)

x² + 14x - 49

c)

x² + 14x + 49

d)

x² + 14x + 196

21.

When factoring

x² - 4x + 4 = 20,

what goes in the blank?

(x - __ )² = 20

a)

4

b)

8

c)

2

d)

20

22.

Solve the following quadratics equation by completing the square.

x² + 4x + 1 = 0

a)

$x=-2\pm\sqrt{3}$

b)

$x=2\pm\sqrt{3}$

c)

$x=-3\pm\sqrt{2}$

d)

$x=-2\pm\sqrt{2}$

23.

Solve by ANY method you have learned: $x^2-2x+11=0$

a)

$x=1±i\sqrt{10}$

b)

$x=-1±i\sqrt{10}$

c)

$x=1±\sqrt{10}$

d)

$x=-1±\sqrt{10}$

24.

Which of the following is NOT a quadratic function?

a)

f(x) = -3x²

b)

y = 3x³- 4x + 5

c)

f(x) = -5x - x²

d)

A = pi.r²

25.

Can both the roots of quadratic equation be zero?

a)

Yes. Possible

b)

NO. Not possible

LONG QUIZ #3 for Gr. 9 "Quadratic equations using any method

Total questions: 25

Worksheet time: 13mins

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