Free Printable Quadratic Equations

1.

Solve the following quadratic equation...

x² + 3x + 2 = 0

a)

x = -1

x = -2

b)

x = 1

x = 2

c)

x = -1

x = 2

d)

x = 1

x = -2

2.

Solve the following quadratic equation...

x² + 7x + 12 = 0

a)

x = -2

x = -6

b)

x = -3

x = -4

c)

x = -1

x = -12

d)

x = 2

x = 6

3.

Solve the following quadratic equation...

x² + 9x + 20 = 0

a)

x = -2

x = -10

b)

x = -5

x = -4

c)

x = -1

x = -20

d)

x = 4

x = 5

4.

Solve the following quadratic equation...

x² + 13x + 36= 0

a)

x = -2

x = -18

b)

x = -9

x = -4

c)

x = -3

x = -12

d)

x = -6

5.

Solve the following quadratic equation...

x² + 4x - 32 = 0

a)

x = 8

x = -4

b)

x = -8

x = 4

c)

x = -2

x = 16

d)

x = 2

x = -16

6.

Solve the following quadratic equation...

x² + 2x - 24 = 0

a)

x = 6

x = -4

b)

x = -6

x = 4

c)

x = -8

x = 3

d)

x = 8

x = -3

7.

Solve the following quadratic equation...

x² - 2x - 15 = 0

a)

x = 5

x = -3

b)

x = -5

x = 3

c)

x = -15

x = 1

d)

x = 15

x = -1

8.

Solve the following quadratic equation...

x² - 7x - 30 = 0

a)

x = 10

x = -3

b)

x = -10

x = 3

c)

x = -5

x = 6

d)

x = 5

x = -6

9.

Solve the following quadratic equation...

x² - 13x + 30 = 0

a)

x = 10

x = 3

b)

x = -10

x = -3

c)

x = 5

x = 6

d)

x = -5

x = -6

10.

Solve the following quadratic equation...

x² - 14x + 24 = 0

a)

x = 12

x = 2

b)

x = 4

x = 6

c)

x = 3

x = 8

d)

x = 1

x = 24

11.

Solve the equation by factoring.

a)

x = {3,8}

b)

x = {-3,8}

c)

x = {3,-8}

d)

x = {-3,-8}

12.

Solve the equation by factoring.

a)

x = {1}

b)

x = {-1}

c)

x = { }

d)

no solution

13.

Solve the equation by factoring.

a)

x = {-5,-3}

b)

x = {5,-3}

c)

x = {-5,3}

d)

x = {5,3}

14.

How many solutions can a quadratic have?

a)

1 solution

b)

3 solutions

c)

0 solutions

d)

2 solutions

15.

What can the roots to a quadratic equation be called?

a)

zeros

b)

solutions

c)

x-intercepts

d)

none of the choices

16.

Solve the equation using the quadratic formula.

x² + 7x = x - 10

a)

-6/2 + √4

b)

-6/2 - √4

c)

no solution

d)

∅

17.

Solve the equation using the quadratic formula.

4x² +9x = 12x

a)

x = {0, 3/4}

b)

x = {0, -3/4}

c)

x = {0, 4/3}

d)

no solution

18.

Use the discriminant to find the number of solutions for the following equation.

y = x² +10x + 25

a)

2 solutions

b)

1 solution

c)

0 solutions

19.

Use the discriminant to find the number of solutions for the following equation.

y = -3x²+5x - 8

a)

2 solutions

b)

1 solution

c)

0 solutions

20.

Use the discriminant to find the number of solutions for the following equation.

y = 4x² - 9

a)

2 solutions

b)

1 solution

c)

0 solutions

21.

a)

±81

b)

±9

c)

±3

d)

No real solution

22.

a)

±√9

b)

±3

c)

±1

d)

No real solution

23.

a)

-4, 2

b)

-2, 4

c)

-16

d)

-4

24.

a)

-2, 4

b)

-8

c)

±8

d)

No real solution

25.

a)

-3, 4

b)

3, 4

c)

-4, -3

d)

-3

26.

a)

-6, -2

b)

-2, 6

c)

2, 6

d)

-6, 2

27.

a)

±1.5

b)

1.5

c)

±1

d)

No real solution

28.

a)

m=±81

b)

m=±9

c)

m=±3

d)

No real solution

29.

Solve using the Quadratic Formula

2x² + 7x − 15 = 0

a)

x = −1.5, 5

b)

No Solution

c)

x = −5, 1.5

d)

x = 0.7, 5

30.

Solve using the Quadratic Formula

x² + 4x − 40 = −8

a)

x = −10, −4

b)

x = −4, 10

c)

x = −8, 4

d)

x = 8, −4

31.

Solve using the Quadratic Formula:

2x²− x − 3 = 0

a)

x = −3/2, 1

b)

x = 3/2, −1

c)

x = −3/2, & −1

d)

x = 3/2, 1

32.

Solve using the Quadratic Formula:

2x² + 2x − 12 = 0

a)

x = −2, 3

b)

x = 2, 3

c)

x = 2, −3

d)

x = −2, −3

33.

Solve using the Quadratic Formula:

8x² − 6x + 1 = 0

a)

No Solution

b)

x = 0, 1

c)

x = −0.5, −0.25

d)

x = 0.25, 0.5

34.

Solve using the Quadratic Formula:

b² + b − 56 = 0

a)

b = 7, −8

b)

b = −7, 8

c)

b = 1.8, −1.4

d)

b = 2.5, −0.5

35.

Solve using the Quadratic Formula:

2x²− 8x − 24 = 0

a)

x = 6, −2

b)

x = 2, −6

c)

x = 4, 2

d)

x = 2, 6

36.

Solve using the Quadratic Formula:

x²+ 2x − 8 = 0

a)

x = −4, 2

b)

x = −4, −2

c)

x = 4, 2

d)

x = −2, 4

37.

Solve using the Quadratic Formula:

15x²+ 22x = −8

a)

x = −2/3, 4/5

b)

x = 2/3, −4/5

c)

x = 2/3, 4/5

d)

x = −2/3, −4/5

38.

Solve using the Quadratic Formula:

x²+ 6x + 9 = 0

a)

x = −3, 3

b)

x = −3

c)

x = 3

d)

No Solution

39.

Solve the following for x by using the Quadratic Formula

2x²+6x=7

a)

b)

c)

40.

Solve the following quadratic equation.
x² - 10x + 25 = 0

a)

x=5, x=3

b)

x=5, x=5

c)

x=5, x=-5

d)

x=-5, x=-5

41.

Solve the following quadratic equation
x² - x - 10 = x + 5

a)

x=-3, x=-5

b)

x=5, x=3

c)

x=5, x=-3

d)

x=-5, x=3

42.

Solve the following quadratic equation
(x + 3)(x + 2) = 0

a)

x=1, x=4

b)

x=2, x=3

c)

x=-2, x=-3

d)

x=-1, x=-4

43.

$x^2+10x+16=0$

a)

x=8, 2

b)

x=4, 4

c)

x= -8, -2

d)

x= -4, -4

44.

$t^2=5t$

a)

t=1, 5

b)

t=0, 5

c)

t= -1, -5

d)

t=0, -5

45.

$m^2-m-12=0$

a)

m= 3, 4

b)

m= 6, 2

c)

m= -6, 2

d)

m= -3, 4

46.

$3y^2-108y=0$

a)

y= 0, 36

b)

y= 0, -36

c)

y= 3, 36

d)

y= -3, 36

47.

$2a^2-70=4a$

a)

a= 5, 7

b)

a= -5, 7

c)

a= 5, -7

d)

a= -5, -7

48.

$4x^2+7x=2$

a)

$x=\ -2,\ \frac{1}{4}$

b)

x= 4, -2

49.

$2w^2+2w=144$

a)

w= 36, 2

b)

w= 36, -2

c)

w= -9, 8

d)

w= 9, -8

50.

$x^2-5x=36$

a)

x=9, -4

b)

x= 6, 6

c)

x= 36, 1

d)

x= 2, 18

Quadratic Equations

Total questions: 50

Worksheet time: 2hrs 8mins

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