Free Printable Quadratic/Discriminant Test

1.

Identify a, b and c in the quadratic equation: $2x^2-3x-5=0$

a)

a = 2 , b = 3, c = -5

b)

a = 2, b = -3, c = 5

c)

a = 2, b = -3, c = -5

d)

a = -2, b = 3, c = 5

2.

$b^2-4ac$ is called the . . .

a)

Square root

b)

Quadratic formula

c)

X-intercepts

d)

Discriminant

3.

$m^2-5m-14=0$

a)

x = 7 and -2

b)

x = 7 and 2

c)

x = -7 and -2

d)

x = -7 and 2

4.

Solutions of a quadratic equation are also called

a)

roots

b)

x-intercepts

c)

zeros

d)

All of the above

5.

If there are no real solutions, the discriminant is

a)

zero

b)

a postive number

c)

a negative number

d)

a perfect square

6.

If there is one solution, the discriminant is . . .

a)

zero

b)

a postive number

c)

a negative number

d)

a perfect square

7.

$2x^2-36=x$

a)

$x=\frac{-9}{2}and\ 4$

b)

$x=\frac{9}{2}\ and\ -4$

c)

$x=4\ and\ -4$

d)

No real solution

8.

Solve using the quadratic formula :

x² - 7x + 12 = 0

a)

x = 3, -4

b)

x = -3, 4

c)

x = 3, 4

d)

x = -3, -4

9.

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

a)

No Solutions

b)

1 Solution

c)

2 Solutions

d)

Infinite Solutions

10.

Make a true statement about about Graph A

The discriminant is (a)

There will be (b)

Choose from the below words

zero

one real solution

positive

negative

two complex solutions

two real solutions

11.

Make a true statement about about Graph B

The discriminant is (a)

There will be (b)

Choose from the below words

negative

two complex solutions

positive

zero

one real solution

two real solutions

12.

Make a true statement about about Graph C

The discriminant is (a)

There will be (b)

Choose from the below words

positive

two real solutions

zero

one real solution

negative

two complex solutions

13.

Solve Using the Quadratic Formula
x² + 4x - 40 = -8

a)

-10 & -4

b)

-4 & 10

c)

-8 & 4

d)

8 & -4

14.

Solve the following equation using the quadratic formula:

$3x^2+16x+5=0$

a)

$x=\frac{1}{3},\ x=5$

b)

$x=-\frac{1}{3},\ x=-5$

c)

$x=-1,\ x=-15$

d)

$x=1,\ x=15$

15.

Solve the following equation using the quadratic formula: $5x^2-6=13x$

a)

$x=-2,\ x=-\frac{3}{5}$

b)

$x=2,\ x=\frac{3}{5}$

c)

$x=3,\ x=-\frac{2}{5}$

d)

undefined

16.

Which equation matches with this substitution step?

$x=\frac{-\left(-10\right)\pm\sqrt[]{\left(-10\right)^2-4\left(-1\right)\left(-21\right)}}{2\left(-1\right)}$

a)

$x^2+10x+21=0$

b)

$-x^2-10-21=0$

c)

$-x^2-21x-10=0$

d)

$x^2+21x+10=0$

17.

Put the steps for using the Quadratic Formula in the correct order.

a)

Make sure the equation is set equal to 0 and written in standard form.

b)

Identify a, b, and c.

c)

Substitute a, b, and c into the formula.

d)

Simplify under the radical

e)

Solve the baby equations

1)

2)

3)

4)

5)

18.

What three methods of solving quadratics have we learned?

a)

Completing the Square

b)

The Quadratic Formula

c)

By Square roots

d)

Perfect Square Trinomials

19.

What is the standard form of a quadratic equation?

a)

The standard form of a quadratic equation is

$\left(ax+b\right)^2=c$

b)

The standard form of a quadratic equation is $ax^2+bx+c=0$ , where a, b, and c are constants and a ≠ 0.

c)

The standard form of a quadratic equation is

$2ax^2+bx+c=0$

d)

The standard form of a quadratic equation is

$\left(x-a\right)\left(x-b\right)=c$

20.

What is the quadratic formula used for?

a)

The quadratic formula is used to calculate the area of a circle.

b)

The quadratic formula is used to find the sum of two numbers.

c)

The quadratic formula is used to solve quadratic equations.

d)

The quadratic formula is used to determine the volume of a cube.

21.

BLUE= (a)

RED= (b)

GREEN= (c)

Choose from the below words

b

a

c

-a

-c

22.

Fill in quadratic formula

$x=$

a)4ac-b^2

b)a^2

c)-2a

d)2a

e)b^2

f)-b^2-4ac

g)b^2+4ac

h)b^2-4ac

i)b

j)-b

1

2

3

1)

2)

3)

23.

Identify a, b and c

$-x^2-3x+9=0$

a = (a)

b = (b)

c = (c)

Choose from the below words

-1

-3

9

0

1

3

-9

24.

Identify a, b and c

$-x^2+4x=9$

a = (a)

b = (b)

c = (c)

Choose from the below words

-1

4

-9

0

1

-4

9

25.

Identify a, b and c

$3x^2-9x=x-5$

a = (a)

b = (b)

c = (c)

Choose from the below words

3

-10

5

0

-3

-9

-5

1

-1

26.

Fill in the formula

$x^2-6x-40=0$

BLUE= (a) RED= (b)

GREEN= (c)

Choose from the below words

-6

1

-40

-1

6

40

27.

$b^2-4ac$ is called the . . .

a)

Square root

b)

Quadratic formula

c)

X-intercepts

d)

Discriminant

28.

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

a)

No Solutions

b)

1 Solution

c)

2 Solutions

d)

Infinite Solutions

29.

Solve the following equation using the quadratic formula: $3x^2+16x+5=0$

a)

$x=\frac{1}{3},\ x=5$

b)

$x=-\frac{1}{3},\ x=-5$

c)

$x=-1,\ x=-15$

d)

$x=1,\ x=15$

30.

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

31.

Use the quadratic formula to find the solutions for

y = -x² - 5x + 12

a)

No Real Solution

b)

c)

d)

32.

What should you do first in solving this equation?

x² + 6x - 13 = 3

a)

Factor

b)

Write down: a = 1, b = 6, c = -13

c)

Subtract 3 from both sides.

d)

Add 3 to both sides.

33.

Solve using the quadratic formula.
2x² - 9x - 35 = 0

a)

x = 7/2, x = -6

b)

x = -5/2, x =5

c)

x = -3/7, x =6

d)

x = -5/2, x = 7

34.

2x²-x -3=0

a)

x=-3/2 x=1

b)

x= 3/2 x= -1

c)

x= -3/2 x= -1

d)

x= 3/2 x= 1

35.

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

Solve using the quadratic equation.

4 lines

36.

$2m^2=-2m+12$
Solve using the quadratic formula.

a)

$x=2,-3$

b)

$x=3,-2$

c)

$x=1\pm\sqrt{13}$

d)

No Solution

37.

Solve using the quadratic formula...

9x² = 4 + 7x

a)

b)

c)

d)

No solution

38.

Solve using the quadratic formula:

4x²+ 4x + 1 = 0

a)

x = -½

b)

x = -2

c)

x = 0

d)

x = ½

39.

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

4x^2=18

a)

4

b)

18

c)

0

d)

-18

40.

What is the discriminant of this graph?

a)

Positive

b)

Zero

c)

Negative

41.

What is the discriminant of this graph?

a)

Positive

b)

Zero

c)

Negative

42.

What is the discriminant of this graph?

a)

Positive

b)

Zero

c)

Negative

43.

What does the discriminant determine?

a)

Whether the graph goes up or down

b)

The vertex

c)

The number of Solutions

d)

The y-intercept

44.

Find the discriminant: 3k² + k - 1 = 0

a)

36

b)

-11

c)

13

d)

-20

45.

How many real solutions does 3k² + k - 1 = 0 have?

a)

2

b)

1

c)

0

46.

The discriminant is

a)

aX² + bX + c

b)

b - 4ac

c)

b² - 4ac

d)

b² + 4ac

47.

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

48.

If the discriminant is negative, then the quadratic has:

a)

1 Real Solution

b)

2 Real Solutions

c)

Half a Solution

d)

2 Complex (imaginary) Solutions

49.

If the discriminant is equal to 0, how many solutions are there?

a)

No solutions

b)

1 Solution

c)

2 Solutions

d)

Infinite solutions

50.

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

51.

Determine the value of the discriminant and describe the number and type roots for the following:

x² + 7x + 13

a)

101, 2 real roots

b)

3, 2 real roots

c)

-101, 2 imaginary roots

d)

-3, 2 imaginary roots

52.

What is the discriminant and how many solutions would this quadratic have?

x² - 6x + 9 = 0

a)

0, No Solutions

b)

0, 1 Solution

c)

72, 2 Solutions

d)

-72, No Solution

53.

What is the discriminant and how many solutions would this quadratic have?

-8x² + 6x - 4 = 0

a)

-92, No Solutions

b)

164, 2 Solutions

c)

-164, No Solutions

d)

92, 2 Solutions

54.

What is the discriminant of this equation?

3x² + 8x = 0

a)

64

b)

52

c)

9

d)

0

55.

find the value of the discriminant of the equation x² + 3x + 12 = 0

(a)

56.

what is the discriminant of the equation 2x²

- 5x -3 = 0

(a)

57.

find the discriminant of the given equation x²- 6x +9 = 0.

(a)

58.

find the value of discriminant of the quadratic equation 3x²= -2x -5.

(a)

59.

find the value of the discriminant of the equation x² + 3x + 12 = 0

(a)

60.

what is the discriminant of the equation 2x²

- 5x -3 = 0

(a)

61.

find the discriminant of the given equation x²- 6x +9 = 0.

(a)

62.

Give the discriminant of the equation 2x² + 3x -2 = 0

(a)

63.

What is the discriminant of the following equation x²- 8x +16 = 0.

(a)

64.

find the value of discriminant of the quadratic equation 3x²= -2x -5.

(a)

65.

what is the value of the discriminant of the quadratic equation 3x²- 12 = 7x

(a)

66.

Give the discriminant of the equation 2x²– 6x = -12.

(a)

67.

Give the discriminant of the equation 5x² = -2x - 5.

(a)

68.

Find the discriminant of the following equation 5x² = 5.

(a)

69.

The discriminant is

a)

aX² + bX + c

b)

b - 4ac

c)

b² - 4ac

d)

b² + 4ac

70.

How many solutions can a quadratic equation have? Select all that apply.

a)

0

b)

1

c)

2

d)

As many as you want

71.

Match the following

a)

0 real solutions

1.

discriminant > 0

b)

1 solution

2.

discriminant < 0

c)

2 solutions

3.

discriminant = 0

72.

In the quadratic equation below:

$f\left(x\right)=-3x^2-6x-8$

The value of the discriminant is: (a) .

This quadratic equation has (b) real solutions.

Choose from the below words

$-60$

no

$-112$

$20$

$-132$

one

two

$132$

73.

The solutions of a quadratic equation are known as the _____.

a)

Vertices

b)

Roots

c)

Squares

d)

Formulas

74.

Use the graph to determine the roots.

a)

-1 and -3

b)

1 and -3

c)

1 and 3

d)

-1 and 3

75.

When looking at a quadratic graph, the solution(s) are always the _____________.

a)

y-intercept

b)

vertex

c)

x-intercept(s)

d)

axis of symmetry

76.

How many solutions are there?

a)

1

b)

2

c)

0

77.

How many solutions are there?

a)

1

b)

2

c)

0

78.

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

a)

No Solutions

b)

1 Solution

c)

2 Solutions

d)

Infinite Solutions

79.

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

a)

0

b)

1

c)

2

d)

5

80.

If the discriminant is greater than zero, then the solution will be

a)

one real solution

b)

two real solutions

c)

no real solutions

d)

one imaginary solution

Quadratic/Discriminant Test

Total questions: 80

Worksheet time: 51mins

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