Free Printable Quadratics Test

1.

Which of the following is not the same as "solution"?

a)

x-intercept

b)

roots

c)

zeros

d)

y-intercept

2.

What is the y-intercept of the equation
y = 2x²+8x+3?

a)

(0,3)

b)

(3,0)

c)

(0,2)

d)

y=8

3.

What is the vertex of the graph?

a)

(2, 4)

b)

(3, -1)

c)

(0, 8)

d)

(4, 2)

4.

How does the parabola open? y = - x²+ 4x - 1

a)

up

b)

down

c)

left

d)

right

5.

What is the vertex of y= x²- 8x + 14 ?

a)

(2, 4)

b)

(-4, -2)

c)

(4, -2)

d)

(-2, 4)

6.

What is the equation for axis of symmetry?

a)

y=3

b)

x=3

c)

x=5

d)

x=1

7.

What are the green dots called?

a)

axis of symmetry

b)

vertex

c)

parabola

d)

roots or x-intercepts

8.

What is the name of this form:
y = ax² + bx + c

a)

vertex form

b)

standard form

c)

factored form

d)

zero form

9.

What is the y-intercept of this parabola?

a)

(−1, 3)

b)

(−3, 11)

c)

(−2, 5)

d)

(0, 5)

10.

What is the axis of symmetry?
f(x) = x²- 8x + 15.

a)

x = -4

b)

x = 4

c)

y = 4

d)

y = -4

11.

What is a, b, and c in 3x² + 4 = 5x?

a)

a = 3, b = -5, c = 4

b)

a = 3, b = 5, c = 4

c)

a = 3, b = 5, c = -4

d)

a = 3, b = -5, c = -4

12.

What is the "formula" for finding the axis of symmetry?

a)

$y=ax^2+bx+c$

b)

$x=\frac{-b}{2a}$

c)

$y=mx+b$

d)

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

13.

$f\left(x\right)=x^2+18$

b= (a)

14.

Where is the axis of symmetry for this parabola?

a)

x = −1

b)

x = 0

c)

y = 3

d)

x = −3

15.

Find the Vertex: y= -5x²-20x - 26

a)

(-2, -6)

b)

(2, 6)

c)

(6,2)

d)

(3, 6)

16.

What is the formula for the discriminant?

a)

x = -b/2a

b)

b² - 4ac

c)

a² + b² = c²

d)

x = [-b±√(b²-4ac)]/2a

17.

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

a)

No solutions

b)

1 Solution

c)

2 Solutions

d)

Infinite solutions

18.

If the discriminant is equal to 4, how many solutions are there?

a)

No Solutions

b)

1 Solution

c)

2 Solutions

d)

Infinite Solutions

19.

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

20.

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

21.

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

4x² + 6x - 4 = 0

a)

-28, No Solutions

b)

28, 2 Solutions

c)

100, 2 Solutions

d)

-100, No Solutions

22.

Find $b^2-4ac$

3x^2\ +\ 2x\ -\ 6\ =\ 0

(a)

23.

Solve: x² + 9x + 18 = 0

a)

x = 1 and 18

b)

x = 3 and 6

c)

x = -3 and -6

d)

x = 2 and 9

24.

Solve: x² - 25 = 0

a)

x = 5

b)

x = -5

c)

x = 5 and -5

d)

x = 10

25.

What are the zeros?

a)

x= 0 and x= -4

b)

x= 0 and x= 4

c)

y= 0

d)

x= 2

26.

How many solutions does this graph have?

a)

one

b)

two

c)

no solutions

d)

cannot be determined

27.

What are the zeros of the function in the graph?

a)

(-1, 0) and (1, 0)

b)

(0, -1) and (0, 1)

c)

(0, -1)

d)

(-1, 0) and (1, 0) and (0, -1)

28.

To solve a quadratic by graphing is to find where the parabola crosses the x-axis. We call these the ___. Select all that apply.

a)

zeroes

b)

x-intercepts

c)

solutions

d)

roots

29.

Solve: x² - 6x = 40

a)

x = 10

b)

x = 4

c)

x = 10 and -4

d)

x = -10 and 4

30.

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

a)

16

b)

-8

c)

8

d)

-24

31.

The axis of symmetry is...

a)

The imaginary line that divides the parabola in half

b)

The highest point or the lowest point of the parabola

32.

Select the factors of $x^2-x-12=0$

a)

(x+3)(x+4)

b)

(x-3)(x-4)

c)

(x+6)(x-2)

d)

(x-6)(x+2)

e)

(x+3)(x-4)

33.

Factor the following quadratic expression:

x² + 11x + 24

a)

(x + 6)(x + 4)

b)

(x + 10)(x + 2)

c)

(x + 8)(x + 3)

d)

(x + 2)(x + 12)

34.

If the graph of a quadratic does not intercept the x-axis at any point, then it has:

a)

1 Real Solution

b)

2 Real Solutions

c)

Half a Solution

d)

No Real Solution

35.

How many solutions does this Quadratic Function have?

a)

None

b)

One

c)

Two

Quadratics Test

Total questions: 35

Worksheet time: 2hrs 37mins

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