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Worksheets

TEST CONSTRUCTION

Total questions: 36

Worksheet time: 1hrs 21mins

Name
Class
Date
1.
(2x + 5y - z) + (-6x - 4y + 7z)
a)
-4x +6y + 6z
b)
4x + y + 6z
c)
-4x - y + 6z
d)
-4x + y + 6z
2.
(4x3-5x2+3x)+(-2x3-x2+6x)
a)
2x3-6x2-9x
b)
2x3+6x2+9x
c)
-2x3-6x2+9x
d)
2x3-6x2+9x
3.
Combine like terms to simplify:
 (5x + 2) + (4x + 5)
a)
9x -7
b)
-9x-11
c)
9x+7
d)
x+7
4.
-3(x - 4)
a)
-3x - 12
b)
3x - 12
c)
3x + 12
d)
-3x + 12
5.
Add or Subtract to Simplify:
(4n4 - 8n + 4) - (8n2 + 4n4 + 1)
a)
-8n2 - 8n + 3 
b)
-7n2 - 8n + 3 
c)
-6n2 - 8n + 3
d)
-7n2 - 4n + 3
6.
Add or Subtract to Simplify:
(4x2+ x) - (x2+ 2x)
a)
3x- x
b)
4x+ 2x
c)
3x2 + 3x
d)
3x2 + 2x
7.
Add or Subtract to Simplify:
(6b3 + 6 - b4) - (8b3 - 6b4 + 2)
a)
4b4 - 2b3 + 7
b)
5b4 - 2b3 + 4
c)
b4 - 2b3 + 7
d)
5b4 - 2b3 + 7
8.

Subtract the polynomials.

(2x + 5y) - (3x - 2y)

a)

-x + 3y

b)

-x + 7y

c)

5x + 7y

d)

7xy + 1xy

9.
5xy(6x-y)
a)
11x2 - y2
b)
30x2 + y2
c)
30x2y - 5xy2
d)
11x2y + 5x2y2
10.
4a(5a2 - a + 4)
a)
20a3 - 4a2 + 16a
b)
20a2 - 5a + 8a
c)
20a2 + 4a2 + 16a
d)
20a3 +3a2 + 16a
11.
(a+b)(a+b)
a)
a2 - b2
b)
a2 + b2
c)
a2 + ab + b2
d)
a2 + 2ab + b2
12.
(x - 6)(2x + 3)
a)

2x2 - 9x - 18

b)
2x2 + 15x - 18
13.
a)
1/m2
b)
m2
c)
m8
d)
1/m8
14.
a)
5p- 16p
b)
5p + 4
c)
5p - 4
d)
5p + 4p
15.
a)
A
b)
B
c)
C
d)
D
16.
Divide:
(9x2 + 6x)  ÷ 3x
a)
3x + 2
b)
3x2 + 2x
c)
5x2
d)
3x + 6
17.

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

a)

y-intercept, 3 secs

b)

x-value of the vertex, 4 secs

c)

y-value of the vertex, 5 secs

d)

y-intercept, 0 secs

18.

How high was the ball when it was thrown? Choose the key feature and the answer.

a)

y-intercept, 0 feet

b)

y-intercept, 3 feet

c)

x-value of the vertex, 4

d)

y-value of the vertex 5

19.

What was the height of the ball at 1 second?

a)

3 feet

b)

4 feet

c)

5 feet

20.

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

21.

Approximately when did the ball hit the ground?

a)

3.25 seconds

b)

4.25 seconds

c)

8.25 seconds

d)

10.25 seconds

22.

What key feature tells the initial height of the roller coaster?

a)

y-intercept

b)

x-intercept

c)

axis of symmetry

d)

vertex

23.

What was the approximate initial height of the roller coaster?

a)

150

b)

120

c)

100

d)

50

24.

What key feature tells the lowest point on the roller coaster?

a)

y-intercept

b)

vertex

c)

Axis of Symmetry

d)

x-intercept

25.

What is the approximate lowest height of the roller coaster?

a)

120 feet

b)

3 feet

c)

25 feet

d)

170 feet

26.

What is the sign of the "a" value for this graph?

a)

positive

b)

Negative

27.
Factor
r2 -16r + 60
a)
(r - 15)(r + 4)
b)
(r - 6)(r + 10)
c)
(r - 6)(r - 10)
d)
(r +30)(r - 2)
28.
Factor
x-16x + 48
a)
(x - 12)(x - 4)
b)
(x + 6)(x - 8)
c)
(x + 12)(x - 4)
d)
(x -16)(x - 3)
29.
Factor
x2+12x+35
a)
(x+5)(x+7)
b)
(x+4)(x+3)
c)
(x+7)(x-5)
d)
Prime
30.
Factor
x2 + 5x + 4
a)
(x + 4)(x + 1)
b)
(x + 2)(x + 2)
c)
(x + 4)(x - 1)
d)
(x + 5)(x + 1)
31.
Factor
x2 - 9x + 20
a)
(x - 10)(x - 2)
b)
(x - 20)(x - 1)
c)
(x - 10)(x + 2)
d)
(x - 5)(x - 4)
32.
Factor
x+ 3x + 2
a)
(x + 2)(x + 1)
b)
(x + 3)(x - 1)
c)
(x + 3)(x + 1)
d)
(x - 3)(x + 1)
33.
Fully Factor the Following
25x2-81
a)
(5x-9)2
b)
(5x+9)(5x-9)
c)
25(x-9)2
d)
(9x+5)(9x-5)
34.
Fully Factor the Following
4x2-16
a)
(2x-4)(2x+4)
b)
(4x-4)(4x+4)
c)
4(x-2)2
d)
4(x-2)(x+2)
35.
What is the greatest common factor of 42xy2 and 28x3y?
a)
84x3y2
b)
14y
c)
14xy
d)
14xy2
36.
Find the product.
(x + 7)2
a)
x+ 7x + 7x + 49
b)
x+ 7x + 7
c)
7x+ x + 7
d)
x2 + 14x + 49