Free Printable Understanding Quadratic Equations

1.

What is the significance of the ordered pair (0, -2) 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

2.

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

3.

Quadratic equations take the shape of a _______ when graphed.

a)

parabola

b)

straight line

c)

snaked line

d)

elliptical

4.

What was the maximum height of the ball? Choose the key feature and the answer choice.

a)

y-intercept, 3 feet

b)

y-intercept, 0 feet

c)

x-value of the vertex, 4 feet

d)

y-value of the vertex, 5 feet

5.

When did the water reach its maximum height? Choose the key feature and the answer.

a)

x-value of vertex, 2 seconds

b)

y-value of vertex, 9 seconds

c)

y-intercept, 0 seconds

d)

x-intercept, 3.8 seconds

6.

What are the green dots called?

a)

y-intercepts

b)

maximum

c)

minimum

d)

roots/x-intercepts

7.

What is the y - intercept?

(a)

8.

The first step in solving quadratic equations is to . . .

a)

factor

b)

write the equation in standard form

c)

use quadratic formula

d)

complete the square

9.

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

a)

True

b)

False

10.

In the equation ax²+bx+c=0, the x term always corresponds with

a)

a

b)

b

c)

c

11.

In the equation
y = x² +5x +7, match each leading coefficient with its correct letter

a)

a=0, b=5, c=7

b)

a=1, b=5, c=7

c)

a=7, b=5, c=1

12.

Use the quadratic formula to find the solutions for

y = -x² - 5x + 12

a)

No Real Solution

b)

c)

d)

13.

Use the quadratic formula to solve for x:

x² + 4x - 40 = -8

a)

x = -10 & x = -4

b)

x = -4 & x = 10

c)

x = -8 & x = 4

d)

x = 8 & x = -4

14.

$2y^2+2=9y$

a)

$\frac{-9\pm\sqrt{65}}{2}$

b)

$\frac{9\pm5\sqrt{13}}{4}$

c)

$\frac{9\pm\sqrt{65}}{4}$

d)

$\frac{-9\pm\sqrt{-97}}{4}$

15.

$x^2-6x+4=0$

a)

$3\pm\sqrt{5}$

b)

$\frac{6\pm\sqrt{20}}{2}$

c)

$3\pm\sqrt{20}$

d)

$3\pm i\sqrt{13}$

Understanding Quadratic Equations

Total questions: 15

Worksheet time: 43mins

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