Free Printable Quadratics Practice

1.

Which is the standard form for a quadratic equation?

a)

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

b)

$ax^2+bx+c=0$

c)

$y=a\left(x-h\right)^2+k$

d)

$a^2+b^2=c^2$

2.

Which is the quadratic formula?

a)

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

b)

$ax^2+bx+c=0$

c)

$y=a\left(x-h\right)^2+k$

d)

$a^2+b^2=c^2$

3.

Which is in the proper factored form to use the Zero Product Property ?

a)

$x^2-x=12$

b)

$x\left(x-1\right)=12$

c)

$\left(x-4\right)\left(x+3\right)=1$

d)

$\left(x-4\right)\left(x+3\right)=0$

4.

$7x^2=6x-1$

Given this quadratic equation, what could be the values a, b, and c to use in the quadratic formula?

a)

$a\ =\ 7,\ b\ =\ -6,\ c\ =\ 1$

b)

$a\ =\ 1,\ b\ =\ 6,\ c\ =\ -7$

c)

$a\ =\ -7,\ b\ =\ 6,\ c\ =\ 1$

d)

$a\ =\ 6,\ b\ =\ 7,\ c\ =\ 1$

5.

Solve for the values of x:
(x - 3)(x + 6) = 0

a)

{ -3, -6 }

b)

{ 3, -6 }

c)

{ -3, -6 }

d)

{ 3, 6 }

6.

Solve
x² + 2x - 24 = 0

a)

x = -6, x = 4

b)

x = 6, x = -4

c)

x = 12, x = -2

d)

x = 8, x = -3

7.

Solve
x² + 9x + 20 = 0

a)

x = -2, x = -10

b)

x = -3, x = -4

c)

x = -4, x = -5

d)

x = -4, x = -6

8.

Solve
x² + 7x + 12 = 0

a)

x = -2, x = -10

b)

x = -3, x = -4

c)

x = -4, x = -5

d)

x = -4, x = -6

9.

Solve
x² + 13x + 12 = 0

a)

x = -1, x = -12

b)

x = -1, x = -24

c)

x = -2, x = -6

d)

x = -2, x = -12

10.

Solve by factoring: x² + 3x - 18 = 0

a)

x = -3 and x = 6

b)

x = 3 and x = -6

c)

x = -9 and x = 2

d)

x = 9 and x = -2

11.

Solve by factoring: 2x²+ 7x + 6 = 0

a)

x= 3/2 and x = 2

b)

x = -3/2 and x = -2

c)

x = 6 and x = 7

d)

x = -6 and x = -7

12.

Solve using Zero-Product Property.

(2x - 2)(5x + 5) = 0

a)

x = -1

b)

x = -1 or x = 1

c)

x = 1

d)

x = -2 or x = 5

13.

Solve: $5x^2-20x+20=0$ by factoring

a)

$x=0$ and $x=2$

b)

$x=-2$

c)

$x=2$

d)

$x=2$ and $x=-2$

14.

The discriminant is

a)

aX² + bX + c

b)

b - 4ac

c)

b² - 4ac

d)

b² + 4ac

15.

What is the discriminant of 6x² − 2x − 3 = 0

a)

76

b)

29

c)

68

d)

none of these

16.

A function has a discriminant of 25.
______________
How many solutions does it have?

a)

0

b)

1

c)

2

d)

5

17.

In the equation
y = x² +5x +7, match each leading coefficient with its correct letter

a)

a=0, b=5, c=7

b)

a=1, b=5, c=7

c)

a=7, b=5, c=1

18.

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

19.

Given the equation 10x² -6x=0, what is the value of C?

a)

0

b)

-6

c)

10

d)

x

20.

If the discriminant is equal to -2, how many solutions are there?

a)

No Solutions

b)

1 Solution

c)

2 Solutions

d)

Infinite Solutions

21.

1 What does the discriminant tell us?

a)

The maximum or minimum

b)

The y-intercept

c)

The number and type of solutions

d)

The axis of symmetry

22.

If the discriminant is zero you will have

a)

no real solutions

b)

two real solutions

c)

1 real solution

d)

1 imaginary solution

23.

If the discriminant is positive, then the solution will be

a)

one real solution

b)

two real solutions

c)

no real solutions

d)

one imaginary solution

24.

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

a)

16

b)

-8

c)

8

d)

-24

25.

Identify the 'a' value: y = 16x² -8x -24

a)

16

b)

8

c)

-8

d)

-24

Quadratics Practice

Total questions: 25

Worksheet time: 1hrs 23mins

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