Free Printable Roots and Solutions

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Roots and Solutions

Total questions: 25

Worksheet time: 27mins

Name

Class

Date

What is another word for zeros?

y-intercepts

roots

vertex

axis of symmetry

True or false:
The solutions, roots, x-intercepts, and zeros of a quadratic equation are all the same thing.

True

False, because the solution and root are the same but the x-intercept and zero are different

False, because the x-intercept and root are the same but the zero and solution are different

False, they are all different

-2 and 10

-2 and -10

2 and 10

2 and -10

Use the graph of f(x) to determine the real solutions to f(x)=0.

-10

2, 5

0, 7

no real solution

What are the solutions?

0 and 8

-2 and -4

3 and -1

2 and 4

Which is a zero of the graph?

-1

1.5

-3

Use the graph to determine the solutions.

-1 and -3

1 and -3

1 and 3

-1 and 3

Find the x-intercepts, y-intercept, and vertex of the following graph:

x-intercepts -3 and 3, y-intercept 1, vertex is (4, -1)

x-intercepts -1 and 1, y-intercept 3, vertex is (-1, 4)

x-intercepts -1 and 3, y-intercept -3, vertex is (1, -4)

x-intercepts 1 and 3, y-intercept -3, vertex is (-4, 1)

Name the zeros?

(0, 0)

(2, 4)

(0, 0) and (0, 4)

(0, 0) and (4, 0)

10.

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

opens up with a maximum

opens up with a minimum

opens down with a maximum

opens down with a minimum

11.

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

opens up with a maximum

opens up with a minimum

opens down with a maximum

opens down with a minimum

12.

Solve for the values of x:
(x - 3)(x + 6) = 0

{ -3, -6 }

{ 3, -6 }

{ -3, -6 }

{ 3, 6 }

13.

Solve for the values of x:

2(x + 5)(x + 1) = 0

x = 0, 5, 1

x = 0, - 5, -1

x = 5, 1

x = -5, -1

14.

Solve for the values of x:

3(x - 5)(x - 5) = 0

{ 5 }

{0, 5 }

{ -5, -5 }

{ -5, 5, 0 }

15.

Factor x² + x - 2

(x + 1)(x - 2)

(x - 1)(x + 2)

16.

Find the roots/zeros of x² + x - 2

-1, 2

-2, 1

17.

Solve
x² + 2x - 24 = 0

x = -6, x = 4

x = 6, x = -4

x = 12, x = -2

x = 8, x = -3

18.

Solve by factoring: x² - 9x + 20 = 0

x = -4 and x = -5

x = 20 and x = -9

x = 4 and x = 5

x = -4 and x = 5

19.

Find the Vertex:
y = x² + 6x + 2

(-3,-7)

(1,6)

(6,2)

No Real Solution

20.

What is the vertex of this parabola?

(1, 2)

(-1, -2)

(1, -2)

(-1, 2)

21.

What is the equation for axis of symmetry?

y=3

x=3

x=5

x=1

22.

Which letter determines if a parabola opens up or down?

23.

What is the vertex?

(4,-4)

(2,0)

(0,2)

(6,0)

24.

Which letter determines if a parabola opens up or down?

25.

What is the axis of symmetry?

the slope of the graph

the dividing line for a parabola

a way to spin my pencil

the x-axis

100 %

Roots and Solutions

Total questions: 25

Worksheet time: 27mins

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