Free Printable Algebra 1 ~ Quadratic Functions

1.

How are you feeling today?

4 lines

2.

When a quadratic equation is graphed, it creates a

a)

Square

b)

Circle

c)

Parabola

d)

Line

3.

Solutions of a quadratic equation are also called

a)

roots

b)

x-intercepts

c)

zeros

d)

All of the above

4.

How many solutions does this graph have?

a)

one

b)

two

c)

no solutions

d)

cannot be determined

5.

What are the x- intercepts?

a)

x= 0 and x= -4

b)

x= 0 and x= 4

c)

y= 0

d)

x= 2

6.

Find the axis of symmetry

a)

x = 2

b)

x = 0

c)

x = -1

d)

x = -2

7.

What is the significance of the ordered pair (2, -4) to the graph?

a)

It is the vertex

b)

It is an x-intercept

c)

It is the y-intercept

d)

It is the axis of symmetry

8.

What is the y-intercept of the parabola shown?

a)

(0, -4)

b)

(0, 4)

c)

(-4, 0)

d)

(4, 0)

9.

What is the axis of symmetry of the parabola shown?

a)

x = 1

b)

(1, 3)

c)

(0, 2)

d)

x = -1

10.

ax²+bx+c=0 is the standard form of a quadratic equation.

a)

True

b)

False

11.

Identify the values of A, B, and C

10p²+ 7p - 20 = 0

a)

A=1, B=7, C=-20

b)

A=10, B=7, C=20

c)

A=10, B=-7, C=-20

d)

A=10, B=7, C=-20

12.

Identify the values of A, B, and C

3m²- 14 = 11m

a)

A=3, B=-11, C=-14

b)

A=3, B=-14, C=11

c)

A=3, B=11, C=-14

d)

A=3, B=-14, C=11

13.

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

a)

Square root

b)

Quadratic formula

c)

X-intercepts

d)

Discriminant

14.

What is the discriminant of this graph?

a)

Positive

b)

Zero

c)

Negative

15.

What is the discriminant of this graph?

a)

Positive

b)

Zero

c)

Negative

16.

What is the discriminant of this graph?

a)

Positive

b)

Zero

c)

Negative

17.

If the discriminant is negative, you will have....

a)

two real solutions

b)

two irrational solutions

c)

two imaginary solutions

d)

one solution

18.

If the discriminant equals 0, then the quadratic has:

a)

1 Solution

b)

2 Real Solutions

c)

No solutions

d)

2 Imaginary Solutions

e)

1 Real Solution, and an Imaginary Solution named Harvey.

19.

Which of the following quadratic equations has the solutions set {-20, 9}? Select all that apply.

a)

$x^2-9x+20=0$

b)

$x^2-11x+180=0$

c)

$x^2+11x-180=0$

d)

$\left(x+9\right)\left(x-20\right)=0$

e)

$\left(x-9\right)\left(x+20\right)=0$

20.

What are the solutions to $40x^2-30x=135$ ? Select all that apply.

a)

$-\frac{9}{2}$

b)

$-\frac{9}{4}$

c)

$-\frac{3}{2}$

d)

$\frac{3}{2}$

e)

$\frac{9}{4}$

21.

What is the smallest solution to the equation $2x^2+17=179$ ?

a)

$-9$

b)

$-3$

c)

$3$

d)

$9$

22.

Given the graph of a quadratic function, which statements about this graph are true? Select all that apply.

a)

The graph has a y-intercept at $\left(0,8\right)$ .

b)

The graph has a relative maximum at $\left(-1,9\right)$ .

c)

The graph represents the function $f\left(x\right)=-\left(x-1\right)^2+9$ .

d)

The line of symmetry is the y-axis.

e)

The graph has zeros at -4 and 2.

23.

Which of the following quadratic equations have real zeros? Select all that apply.

a)

$f\left(x\right)=-3x^2+5x-11$

b)

$g\left(x\right)=-x^2-12x+6$

c)

$h\left(x\right)=2x^2+x+6$

d)

$k\left(x\right)=5x^2-10x-3$

e)

$j\left(x\right)=x^2-2x+8$

24.

Given the table of values, which of the following is a graph corresponding to the table of values?

a)

b)

c)

d)

25.

Given the graph of $g\left(x\right)$ , which function has a maximum that is greater than the maximum of the graph of $g\left(x\right)$ ?

a)

$y=\left(x-2\right)^2+4$

b)

$y=\left(x+3\right)^2+2$

c)

$y=-\frac{1}{2}\left(x-2\right)^2+3$

d)

$y=-5\left(x+3\right)^2+4$

Algebra 1 ~ Quadratic Functions

Total questions: 25

Worksheet time: 1hrs 28mins

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