Free Printable Quadratic Functions

1.

What are the green dots called?

a)

axis of symmetry

b)

vertex

c)

parabola

d)

roots or x-intercepts

2.

What are the x- intercepts?

a)

x= 0 and x= -4

b)

x= 0 and x= 4

c)

y= 0

d)

x= 2

3.

Solve the following quadratic equation: $4x^2-9=0$

a)

$x=\frac{3}{2}$ & $x=-\frac{3}{2}$

b)

$x=\frac{2}{3}$ & $x=\frac{-2}{3}$

c)

$x=\frac{9}{4}$

d)

$x=\frac{4}{9}$

4.

Solve

x² + 2x - 20 = 4

a)

x = -6, x = 4

b)

x = 6, x = -4

c)

x = 12, x = -2

d)

x = 8, x = -3

5.

Solve for the values of x:
(x + 2)(x - 3) = 0

a)

{ 2, 3 }

b)

{ -2, -3 }

c)

{ 2, 3 }

d)

{ -2, 3 }

6.

Solve by factoring: x² = 7x + 18

a)

-7 and -18

b)

9 and 2

c)

9 and -2

d)

2 and 7

7.

$x^2-7x=0$

Solve by the method of your choice.

a)

x = 7 only

b)

x = 0 only

c)

x = 0 and 7

d)

There is no real answer for this equation.

8.

What are the solutions for the equation 2x² + 16x = 18

a)

x = -1 and x = 9

b)

x = -9 and x = 1

c)

x = 2 and x= 18

d)

x = 2 and x = 16

9.

The graph of a quadratic function is called

a)

a line

b)

a hyperbola

c)

a parabola

d)

a cubic

10.

Standard form of a quadratic equation

a)

y=x²

b)

y=ax²+bx+c

c)

y=mx+b

d)

y=x

11.

3x² - 4 is a quadratic

a)

true

b)

false

12.

Which of the following is NOT a quadratic function

a)

f(x) = -3x²

b)

f(x) = -5x - x²

c)

y = 3x³- 4x + 5

d)

A = pi.r²

13.

Use the quadratic formula to find the solutions for

y = -x² - 5x + 12

a)

No Real Solution

b)

c)

d)

14.

$2r^2+3r-1=0$

Solve using the quadratic equation.

4 lines

15.

What is the "c" value in the equation..

4x^2=18

a)

4

b)

18

c)

0

d)

-18

16.

$5x^2+3x-3=0$

a)

$\frac{-3\pm i\sqrt{51}}{10}$

b)

$\frac{-3\pm\sqrt{69}}{10}$

c)

$\frac{3\pm\sqrt{69}}{2}$

d)

$\frac{-3\pm3\sqrt{23}}{10}$

17.

$w^2+7w+4=0$

a)

$\frac{-7\pm\sqrt{33}}{2}$

b)

$\frac{-7\pm\sqrt{65}}{2}$

c)

$\frac{7\pm\sqrt{33}}{2}$

d)

$\frac{-7\pm3\sqrt{11}}{2}$

18.

$x^2-6x+4=0$

a)

$3\pm\sqrt{5}$

b)

$\frac{6\pm\sqrt{20}}{2}$

c)

$3\pm\sqrt{20}$

d)

$3\pm i\sqrt{13}$

19.

$2y^2+2=9y$

a)

$\frac{-9\pm\sqrt{65}}{2}$

b)

$\frac{9\pm5\sqrt{13}}{4}$

c)

$\frac{9\pm\sqrt{65}}{4}$

d)

$\frac{-9\pm\sqrt{-97}}{4}$

20.

A soccer ball is kicked from the ground with an initial upward velocity of 90 feet per second. The equation h=-16t²+ 90t gives the height h of the ball after t seconds.
How many seconds will it take the ball to hit the ground?

a)

126.56 ft

b)

5.625 sec

c)

2.81 sec

d)

0 ft

Quadratic Functions

Total questions: 20

Worksheet time: 2hrs 40mins

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