Free Printable Quadratic Quiz

1.

What is the equation for the axis of symmetry?

a)

y=3

b)

x=3

c)

x=5

d)

x=1

2.

Which of the following is the correct equation for the given graph?

a)

f(x) = (x - 2)² - 1

b)

f(x) = (x + 2)² - 1

c)

f(x) = -(x + 2)² - 1

d)

f(x) = -(x - 2)² - 1

3.

Identify the vertex and whether the graph opens up or down.

a)

(-1, 4); opens up

b)

(-1, 4); opens down

c)

(1, 4); opens up

d)

(1, 4); opens down

4.

What is another name for the x-intercepts of a quadratic?

a)

y-intercepts

b)

zeros

c)

x-axis

d)

none of these

5.

Which answer choice describes y = -3x² +7x - 2 accurately?

a)

opens up with a maximum

b)

opens up with a minimum

c)

opens down with a maximum

d)

opens down with a minimum

6.

Factor completely
k² -2k - 24

a)

(k+4)(k-6)

b)

(k+4)(k+6)

c)

(k+6)(k-1)

d)

(k-4)(k+6)

7.

Factor completely
k²+7x+10

a)

(k+2)(k+5)

b)

(k-2)(k-5)

c)

(k+10)(k+4)

d)

(k+2)(k-5)

8.

Solve 2(x-1)²= 32

a)

x= -3, 5

b)

x= -4, 4

c)

x= 3, 5

d)

x= 2, 6

9.

Solve
x²- 10 = 26

a)

x = -6, 6

b)

x = -4, 4

c)

x = 4, 6

d)

No solution

10.

Find the zeros of this quadratic.

a)

b=4/5, b=3

b)

b=4, b=-3

c)

b=1/5, b=3

d)

b=4/5, b=-3

11.

What is the range?

a)

y ≤ -6

b)

y ≤ 0

c)

y ≥ -6

d)

y ≥ 0

12.

What is the factored form of 25x²-9

a)

(5x+3)(5x-3)

b)

(x+5)(x-3)

c)

(x-3)(x+5)

d)

(5x+3)(3x+5)

13.

What are the factors of 3x²-17x+10

a)

(x-5)(3x-2)

b)

(x+5)(3x+2)

c)

(3x-5)(x-2)

d)

(x+5)(3x-2)

14.

Find the factors of 5x²+20x+20

a)

5(x+2)(x+2)

b)

5(x-2)(x-2)

c)

5(x+2)(x-2)

d)

(5x+2)(x+2)

15.

Find the factors of 4x²-16x-9

a)

(2x-9)(2x+1)

b)

(2x+9)(2x-1)

c)

$(2x-3)^2$

d)

(x+1)(4x-9)

16.

Factor the polynomial:
5x² - 13x + 6

a)

(x + 3)(5x - 2)

b)

(x - 2)(5x - 3)

c)

(x + 2)(5x + 3)

d)

(x - 3)(5x + 2)

17.

What is the discriminant of -2x² − x − 1 = 0

a)

76

b)

-7

c)

9

d)

none of these

18.

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

a)

76

b)

29

c)

68

d)

none of these

19.

If the discriminant is positive, then there will be

a)

one solution

b)

two solutions

c)

no solutions

d)

more than two solutions

20.

A function has a discriminant of -3.
______________
How many x-intercepts does it have?

a)

0

b)

1

c)

2

d)

3

21.

____________
For the function above, is the discriminant positive, negative, or zero?

a)

Positive

b)

Negative

c)

Zero

d)

Not Sure

22.

For the function below, is the discriminant positive, negative, or zero?

___________

y = x² + 4x + 4

a)

Positive

b)

Negative

c)

Zero

23.

The formula we use for the discriminant is

a)

$-b\ +\ \sqrt{b^2}-\ 4ac$

b)

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

c)

$\sqrt{b^2-4ac}$

d)

$b^2\ -4ac$

24.

The quadratic equation can be used to solve quadratic equations that can or cannot be factored.

a)

True

b)

False

25.

For the parabola $f\left(x\right)=-\left(x-7\right)^2+10$ , State the direction it opens and the range.

a)

down, $y\ge7$

b)

down, $y\le7$

c)

down, $y\le10$

d)

up, $y\le10$

Quadratic Quiz

Total questions: 25

Worksheet time: 2hrs 5mins

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