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Worksheets

Expanded and Factored Form

Total questions: 15

Worksheet time: 1hrs 15mins

Name
Class
Date
1.
What are the x- intercepts?
a)
x= 0 and x= -4
b)
x= 0 and x= 4
c)
y= 0
d)
x= 2
2.
Does the equation open or or down? 
Y = -3x2 +7x - 2
a)
up
b)
down
3.

Tammy solved the equation x2x12=0x^2-x-12=0  
Select the factors of  x2x12x^2-x-12  

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)

4.

Which of the following is the Factored Form of a quadratic function?

a)

f(x) = mx + b

b)

f(x) = ax2 + bx + c

c)

f(x) = a(x - m)(x - n)

d)

f(x) = a(x - h)2 + k

5.

What are the x-intercepts of the parabola?

y = -3(x + 5)(x - 9)

a)

(-5, 0) and (9, 0)

b)

(5,0) and (-9, 0)

c)

(5, 0) and (9, 0)

d)

(-3, 0) and (5, 0)and (-9, 0)

6.

What are the x-intercepts of the parabola?

y = ¼(x + 2)(x - 6)

a)

(-2, 0) and (6, 0)

b)

(2, 0) and (-6, 0)

c)

(-2, 6)

d)

(¼, 0) and (-2, 0) and (6, 0)

7.

Which graph below matches up with the equation:

y = -⅕(x+6)(x+1)

a)
b)
c)
d)
8.

Which quadratic equation models the parabola shown?

a)

y = (x-2)(x+5)

b)

y = (x+2)(x+5)

c)

y = -(x-2)(x-5)

d)

y = -(x+2)(x+5)

9.

Expand and simplify:

3a (2a - 4a2b)

a)

6a2 - 4a2b

b)

6a2 - 12a3b

c)

3a2a - 12a2b

d)

6a - 4a2b

10.

Expand and simplify

5(2h + 1) - 2(h + 2)

a)

8h + 1

b)

8h - 1

c)

8h + 3

d)

8h +9

11.

Expand and simplify

(x + 1)(x + 2)(x + 3)

a)

x3 + 6x2 + 11x + 6

b)

x3 + 9x2 + 10x + 6

c)

x3 + 3x2 + 7x + 6

d)

x3 + 10x2 + 4x + 9

12.

Expand and simplify the following quadratic expression...


(x - 8)(x + 8)

a)

x2 + 16x - 64

b)

x2 + 16x + 64

c)

x2 - 16x + 64

d)

x2 - 64

13.
Expand and simplify:
(m+11)2
a)
m2+22m+121
b)
m2+11m+121
c)
m2+11m +11
d)
m2+22m +11
14.

A kid launches a rock off of a cliff. The height of the rock after t seconds can be modeled by the graph shown. What is the maximum height the rock reaches ?

a)

1.094 ft

b)

174.141 ft

c)

155 ft

d)

4.393 ft

e)

None of the above

15.

A kid launches a rock off of a cliff. The height of the rock after t seconds can be modeled by the graph shown. How long does it take the rock to reach its maximum height?

a)

1.094 seconds

b)

174.141 seconds

c)

155 seconds

d)

4.393 seconds

e)

None of the above