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WorksheetsUnit 5 Test Review Polynomials
Total questions: 118
Worksheet time: 3hrs 18mins
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.
(3x + 4y - 3z) - (2x - 6y + 7z)
a)
x + 10y - 10z
b)
-x +10y - 10z
c)
x -10y - 10z
d)
-x -10y - 10z
3.
(4x3-5x2+3x)+(-2x3-x2+6x)
a)
2x3-6x2-9x
b)
2x3+6x2+9x
c)
-2x3-6x2+9x
d)
2x3-6x2+9x
4.
(5x4 - 4x3 - 2x2 + x - 19) - (x4 + 5x3 + 8x2 + x + 5)
a)
4x4 - 9x3 - 10x2 - 24
b)
4x4 - 9x3 - 10x2 - 2x - 24
c)
4x4 - 9x3 - 10x2 + 2x - 24
d)
-4x4 - 9x3 - 10x2 - 24
5.
5(2x+5)
a)
10x + 5
b)
10x + 25
c)
7x + 10
d)
7x + 25
6.
-3(x - 4)
a)
-3x - 12
b)
3x - 12
c)
3x + 12
d)
-3x + 12
7.
(x+3)(x+1)
a)
x2+3x+3
b)
2x+4x+3
c)
x2+4x+3
d)
5x + 3
8.
5x(2x + 3)
a)
10x2 + 15x
b)
7x + 15x
c)
7x2 + 8x
d)
25x2
9.
(x-2)(x+1)
a)
x2-2x-2
b)
x2-2
c)
x2+x+2
d)
x2-x-2
10.
(x+5)2
a)
x2+25
b)
2x+10
c)
x2+10x+25
d)
12x
11.
(x-3)2
a)
x2-6x+9
b)
x2 - 9
c)
x2 + 9
d)
x2
12.
(2x + 1)(x - 3)
a)
-3x - 3
b)
2x2 + 5x - 3
c)
2x2 - 5x - 3
d)
2x2 - 5x +3
13.
(3x - 2)(6x + 1)
a)
21x2
b)
18x2 + 9x + 2
c)
9x2 - 9x - 2
d)
18x2 - 9x - 2
14.
(2x + 3)(x2 + 4x + 1)
a)
2x3 + 10x2 + 14x + 4
b)
2x3 + 11x2 + 14x + 3
c)
-2x3 - 11x2 + 14x + 5
d)
x3 - 11x2 + 14x + 3
15.
Add to Simplify:
(4x - 2x3) + (5x3 - 4x + 5)
(4x - 2x3) + (5x3 - 4x + 5)
a)
3x3 + 5
b)
3x3 + 8x + 5
c)
3x2 + 5
d)
7x3 + 8x + 5
16.
Find the sum.
(3 - 2x + 2x2) + (4x - 5 + 3x2)
(3 - 2x + 2x2) + (4x - 5 + 3x2)
a)
7x - 7x + 5x2
b)
5x2 + 2x - 2
c)
5x2
d)
5x2 + 6x + 8
17.
Simplify the expression.
(4a3 - 8a - 4a2) + (7a3 - 7 - 6a)
(4a3 - 8a - 4a2) + (7a3 - 7 - 6a)
a)
11a3 - 4a2 - 14a - 7
b)
5a3 - 4a2 - 14a - 7
c)
5a3 - 4a2 - 20a - 7
d)
5a3 - 9a2 - 20a - 7
18.
Combine like terms to simplify:
(5x + 2) + (4x + 5)
(5x + 2) + (4x + 5)
a)
9x -7
b)
-9x-11
c)
9x+7
d)
x+7
19.
Simplify each expression.
(6x + 4x4 - 3x2) + (7x4 + 5x2 + 8x)
(6x + 4x4 - 3x2) + (7x4 + 5x2 + 8x)
a)
11x4 + 2x2 + 14x
b)
16x4 + x2 + 14x
c)
11x4 + x2 + 14x
d)
11x4 + 2x2 + 10x
20.
(3x2+xy-5y2) +
(2x2-xy+3y2)
(2x2-xy+3y2)
a)
5x2-2xy+8y2
b)
5x2-2y2
c)
5x2+2y2
d)
5x2+2xy-8y2
21.
(7x2 - 3x) + (5x2 + x + 3)
a)
12x2 - 2x + 3
b)
2x2 + 4x + 3
c)
12x4 + 2x2 + 3
d)
2x2 - 4x - 3
22.
Simplify each expression.
(6x + 4x4 - 3x2) + (7x4 + 5x2 + 8x)
(6x + 4x4 - 3x2) + (7x4 + 5x2 + 8x)
a)
11x4 + 2x2 + 14x
b)
16x4 + x2 + 14x
c)
11x4 + x2 + 14x
d)
11x4 + 2x2 + 10x
23.
Find the difference.
(3- 2x + 2x2) - (4x -5 +3x2)
(3- 2x + 2x2) - (4x -5 +3x2)
a)
x2 + 6x + 8
b)
2x2 + 5x - 7
c)
-x2 -6x + 8
d)
-2x2 + 11x - 4
24.
Simplify the expression.
(4n4 - 8n + 4) - (8n2 + 4n4 + 1)
(4n4 - 8n + 4) - (8n2 + 4n4 + 1)
a)
-8n2 - 8n + 3
b)
-7n2 - 8n + 3
c)
-6n2 - 8n + 3
d)
-7n2 - 4n + 3
25.
Simplify each expression.
(6b3 + 6 - b4) - (8b3 - 6b4 + 2)
(6b3 + 6 - b4) - (8b3 - 6b4 + 2)
a)
4b4 - 2b3 + 7
b)
5b4 - 2b3 + 4
c)
b4 - 2b3 + 7
d)
5b4 - 2b3 + 7
26.
Simplify each expression.
(4n4 - 8n + 4) - (8n2 + 4n4 + 1)
(4n4 - 8n + 4) - (8n2 + 4n4 + 1)
a)
-8n2 - 8n + 3
b)
-7n2 - 8n + 3
c)
-6n2 - 8n + 3
d)
-7n2 - 4n + 3
27.
a)
A
b)
B
c)
C
d)
D
28.
a)
A
b)
B
c)
C
d)
D
29.
Simplify the expression.
(4a3 - 8a - 4a2) + (7a3 - 7 - 6a)
(4a3 - 8a - 4a2) + (7a3 - 7 - 6a)
a)
11a3 - 4a2 - 14a - 7
b)
5a3 - 4a2 - 14a - 7
c)
5a3 - 4a2 - 20a - 7
d)
5a3 - 9a2 - 20a - 7
30.
(x3-x2+4) - (3x3-2x2+3)
a)
-2x3-3x2+7
b)
-2x3+x2+1
c)
2x3-3x3-1
d)
4x3-3x2+7
31.
Simplify each expression.
(4n4 - 8n + 4) - (8n2 + 4n4 + 1)
(4n4 - 8n + 4) - (8n2 + 4n4 + 1)
a)
-8n2 - 8n + 3
b)
-7n2 - 8n + 3
c)
-6n2 - 8n + 3
d)
-7n2 - 4n + 3
32.
Simplify:
5(3x+2)
a)
3x+10
b)
15x+10
c)
15x-10
d)
3x-10
33.
Simplify:
2x ( -2x -3)
2x ( -2x -3)
a)
-4x - 3
b)
x2 - 3
c)
-4x2 - 6x
d)
-4x - 6
34.
(x +2)(x + 3)
a)
x2 + 5x + 6
b)
x2 + x + 6
c)
x2 + 5x + 5
d)
x2 + 6x + 6
35.
Simplify the expression.
-3x2( 7x2 - x + 4)
-3x2( 7x2 - x + 4)
a)
-21x4 + 3x3 -12x2
b)
7x2 - x + 4 (-3x2)
c)
21x4 + 3x3 + 12x2
d)
-12x2 + 3x3 -21x4
36.
Simplify the expression.
x3(2x2+3x)
x3(2x2+3x)
a)
2x5+3x4
b)
2x6+3x3
c)
5x9
d)
5x
37.
(5x+2)(x2-3x+6)
a)
5x3 - 17x2 +24x +12
b)
5x3 + 17x2 - 24x +12
c)
5x3 - 13x2 + 24x +12
d)
5x3 +13x2 - 24x - 12
38.
(x-3)(x2+2x+7)
a)
x3-x2+x-21
b)
x3+5x+13x-21
c)
x3-3x2+7x-21
d)
x2+2x-3
39.
What is the degree of the polynomial
3x4 + 2x2 + 5x ?
3x4 + 2x2 + 5x ?
a)
1
b)
2
c)
3
d)
4
40.
When a polynomial is written in standard form, the coefficient of the first term is called the _____________.
a)
Boss coefficient
b)
Leading coefficient
c)
Best coefficient
d)
Greatest common coefficient
41.
The following polynomial is written in standard form:
7x3 - 11x2 + 8x - 5
7x3 - 11x2 + 8x - 5
a)
True
b)
False
42.
What is the degree of this term?
-7xyz2
-7xyz2
a)
3
b)
4
c)
-7
d)
7
43.
What type of polynomial is this and what is its degree?
5b3 - 3 + 6b
5b3 - 3 + 6b
a)
3rd degree binomial
b)
3rd degree monomial
c)
3rd degree trinomial
d)
1st degree polynomial
44.
What is the degree of the polynomial 17x + 4
a)
0
b)
1
c)
2
d)
3
45.
3x3(8x2 - 2x - 1)
a)
24x6 - 6x4 - 3x3
b)
24x5 - 6x4 - 3x3
c)
11x5 - 5x4 - 3x3
d)
24x5 + 6x4 + 3x3
46.
(-5x3)2
a)
-5x6
b)
-52x3
c)
25x6
d)
-25x6
47.
What is the degree of the polynomial:
2x – 9
2x – 9
a)
0
b)
1
c)
2
d)
3
48.
Classify by number of terms:
3x2 – 8x + 1
3x2 – 8x + 1
a)
Monomial
b)
Binomial
c)
Trinomial
d)
4-Term Polynomial
49.
What is the degree of the polynomial:
7x3 – 8x2 + 9
7x3 – 8x2 + 9
a)
5
b)
2
c)
6
d)
3
50.
-5x6(3x2 - 12x + 30)
a)
-15x8 + 60x7 - 150x6
b)
15x8 - 60x7 - 150x6
c)
8x6 - 17x + 35
d)
-8x6 + 17x - 35x2
51.
(x-3)(x2+2x+7)
a)
x3-x2+x-21
b)
x3+5x+13x-21
c)
x3-3x2+7x-21
d)
x2+2x-3
52.
(5x+2)(x2-3x+6)
a)
5x3 - 17x2 +24x +12
b)
5x3 + 17x2 - 24x +12
c)
5x3 - 13x2 + 24x +12
d)
5x3 +13x2 - 24x - 12
53.
(4x+1)(5x−2)
a)
20x2 + 3x − 2
b)
20x2 − 11x + 5
c)
20x2 − 18x + 2
d)
20x2 − 3x − 2
54.
(5x+1)(x+4)
a)
5x2 + 19x − 4
b)
5x2 + 21x + 4
c)
5x2 + 4
d)
5x2 − 19x − 4
55.
Simplify:
a)
-5a6 - 5a4
b)
-3a3 - 1a2
c)
-2a3 - 6a2
d)
5a3 - 5a2
56.
Simplify:
a)
-5a6 - 5a4
b)
-3a3 - 1a2
c)
-2a3 - 6a2
d)
5a3 - 5a2
57.
Find the product of y -3 and y + 7.
a)
y2 - 21
b)
y2 + 10x - 21
c)
y2 + 4y - 21
d)
2y - 10
58.
What is the product of 3x and (2x - 8)?
a)
6x - 24
b)
5x + 24
c)
5x2 - 24x
d)
6x2 - 24x
59.
Which one is NOT a monomial
a)
3x - 4
b)
12z
c)
14v8w
d)
lmnop
60.
Which one is written in Standard form
a)
4 + 5b3
b)
4n3 - n + 6n2
c)
2a2 + 9
d)
2h5 - 5h3 - 8 + 3h
61.
What is the name of the polynomial?
12xy5z2
12xy5z2
a)
Monomial
b)
Binomial
c)
Trinomial
d)
Polynomial
62.
Classify by the DEGREE:
-3x2 + 5
-3x2 + 5
a)
1
b)
2
c)
3
d)
4
63.
(x+3)(x+1)
a)
x2+3x+3
b)
2x+4x+3
c)
x2+4x+3
d)
5x + 3
64.
(4x3-5x2+3x)+(-2x3-x2+6x)
a)
2x6-6x4-9x2
b)
2x3+6x2+9x
c)
-2x3-6x2+9x
d)
2x3-6x2+9x
65.
(3x + 4y - 3z) - (2x - 6y + 7z)
a)
x + 10y - 10z
b)
-x +10y - 10z
c)
x -10y - 10z
d)
-x -10y - 10z
66.
(2x + 5y - z) + (-6x - 4y + 7z)
a)
-4x2 +6y2 + 6z2
b)
4x + y + 6z
c)
-4x2 - y2 + 6z2
d)
-4x + y + 6z
67.
Classify by the DEGREE:
4x3 - 5x2 + 2x - 1
4x3 - 5x2 + 2x - 1
a)
1
b)
2
c)
3
d)
4
68.
Name the polynomial.
4x3 - 5x2 + 2x - 1
4x3 - 5x2 + 2x - 1
a)
Monomial
b)
Binomial
c)
Trinomial
d)
Polynomial
69.
Name the polynomial.
3x - 2
3x - 2
a)
Monomial
b)
Binomial
c)
Trinomial
70.
Classify by the DEGREE:
3x - 2
3x - 2
a)
1
b)
2
c)
3
d)
4
71.
(2x + 3)(x2 + 4x + 1)
a)
2x3 + 10x2 + 14x + 4
b)
2x3 + 11x2 + 14x + 3
c)
-2x3 - 11x2 + 14x + 5
d)
x3 - 11x2 + 14x + 3
72.
Find the mode of these numbers:
4,3,6,4,3,6,6,3,2,1,3
4,3,6,4,3,6,6,3,2,1,3
a)
3
b)
6
c)
4
d)
2
73.
Find the mean of these numbers:
5,11,2,12,4,2
5,11,2,12,4,2
a)
4.1
b)
6
c)
4.5
d)
4
74.
Find the mean of these numbers:
5,11,2,12,4,2
5,11,2,12,4,2
a)
4.1
b)
6
c)
4.5
d)
4
75.
Find the mode of these numbers:
4,4,6,6,2,2,6,2,4,2
4,4,6,6,2,2,6,2,4,2
a)
2
b)
4
c)
6
d)
2.4
76.
What is the mean?
a)
# happening the most
b)
the number in the middle
c)
biggest-smallest
d)
the average
77.
What is the mode?
a)
# happening the most
b)
the average
c)
biggest - smallest
d)
the middle #
78.
What is the range?
a)
average
b)
biggest-smallest
c)
the middle #
d)
# happening the most
79.
What is the median?
a)
biggest- smallest
b)
average
c)
the middle #
d)
# that happens the most
80.
Find the range of these numbers:
15,2,3,7,8,4,3,2,16,2,4
15,2,3,7,8,4,3,2,16,2,4
a)
2
b)
13
c)
14
d)
7
81.
Find the mean of these numbers:
4,2,5,6,3
4,2,5,6,3
a)
2
b)
5
c)
4
d)
6
82.
Find the median of these numbers:
4,2,7,4,3
4,2,7,4,3
a)
2
b)
5
c)
7
d)
4
83.
Find the median, mode and range:
3, 5, 7, 9, 11, 8, 3
3, 5, 7, 9, 11, 8, 3
a)
median:7 mode:3 range:7
b)
median:6 mode:3 range:7
c)
median:7 mode:3 range:8
84.
What is the median of the data?
a)
200
b)
100
c)
90
d)
140
85.
What is the interquartile range?
a)
4
b)
6
c)
2
d)
8
86.
Which car club has the higher median?
a)
Cruisers
b)
Car Hops
87.
Which restaurant has a higher median wait time?
a)
Lucy's Steakhouse
b)
Gary's Grill
c)
They are the same
88.
What is the minimum value?
a)
64
b)
58
c)
66
d)
60
89.
What data value is the upper quartile (Q3)?
a)
64
b)
62
c)
66
d)
58
90.
What value is the lower quartile?
a)
66
b)
58
c)
60
d)
64
91.
What data value is the upper quartile?
a)
64
b)
62
c)
66
d)
58
92.
Find the Median
a)
98
b)
93
c)
78
d)
85
93.
Find the Median
a)
12
b)
14
c)
20
d)
5
94.
What is the range of the data?
a)
4
b)
8
c)
6
d)
2
95.
2. Which of the following best describes the process of finding the interquartile range for a set of data?
a)
Add the biggest and smallest numbers.
b)
Place the numbers in order from least to greatest and find the middle.
c)
Find the difference between the maximum and the minimum.
d)
Subtract Q1 from Q3.
96.
Slope is know as rise/
a)
run
b)
fall
c)
none
d)
rise
97.
What type of slope does the following graph have?
a)
Postive
b)
Negative
c)
Zero Slope
d)
Undefined
98.
In the equation y=mx+b, what does the m represent?
a)
slope
b)
y-intercept
c)
linear
d)
point-slope
99.
What is the slope in the equation y=2x + 3?
a)
2
b)
3
c)
5
d)
Cannot be Determined
100.
What does 'b" represent in y=mx=b
a)
y-intercept
b)
macaroni
c)
nothing
d)
slope
101.
Find the slope
a)
-5/7
b)
7/5
c)
-7/5
d)
5/7
102.
What is the y-intercept in the equation y= -2x + 5
a)
-2
b)
3
c)
5
d)
Cannot be Determined
103.
What is the equation of this line?
a)
y = 2x +2
b)
y = 2x -2
c)
y = -x + 2
d)
Cannot be Determined
104.
Find the slope.2x - 3y = 3
a)
2/3
b)
3
c)
3/2
d)
-2
105.
Find the slope 5x + y = -2
a)
1/5
b)
5
c)
-5
d)
1/5x
106.
Find the slope. 7x + 5y = -10
a)
7
b)
5/7
c)
7/5
d)
-7/5
107.
What inequality does the number line graph represent?
a)
x > 5
b)
x < −5
c)
x ≥ 5
d)
x ≥ −5
108.
Match the graph with its inequality.
a)
a > 11
b)
a < 11
c)
a ≥ 11
d)
a ≤ 11
109.
Pick the correct letter for:
6 > x
6 > x
a)
A
b)
B
c)
C
d)
D
110.
Match the graph with its inequality.
a)
b > –2
b)
b < –2
c)
b ≥ –2
d)
b ≤ –2
111.
Select the correct graph for each inequality.
a)
A
b)
B
c)
C
d)
D
112.
Select the correct graph for each inequality.
a)
A
b)
B
c)
C
d)
D
113.
Select the correct graph for each inequality.
a)
A
b)
B
c)
C
d)
D
114.
Select the correct graph for each inequality.
a)
A
b)
B
c)
C
d)
D
115.
Select the correct graph for each inequality.
a)
A
b)
B
c)
C
d)
D
116.
Select the correct graph for each inequality.
a)
A
b)
B
c)
C
d)
D
117.
Select the correct graph for each inequality.
a)
A
b)
B
c)
C
d)
D
118.
Which of the following equations match the given graph?
a)
y ≥ 2/5x + 1
b)
y ≥ -2/5x + 1
c)
y≤ 2/5x + 1
d)
y ≥ -2/5x - 1
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