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WorksheetsM1 Unit 4 Review (Polynomial & Factoring)
Total questions: 88
Worksheet time: 5hrs 34mins
Name
Class
Date
1.
Simplify: (5p9q3)(2pq7)
a)
7p10q10
b)
10p9q21
c)
10p10q10
d)
10p8q-4
2.
Simplify: (6m7)/(4m3)2
a)
(6m)/16
b)
(3/8)m
c)
3/(8m)
d)
(3m)/4
3.
√128
a)
64√2
b)
16
c)
2√8
d)
8√2
4.
√200
a)
14
b)
20√8
c)
5√3
d)
10√2
5.
a)
A
b)
B
c)
C
d)
D
6.
a)
A
b)
B
c)
C
d)
D
7.
Re-write the expression in radical form.
x2/3
x2/3
a)
∛x2
b)
√x3
c)
(1/x)
d)
∛x
8.
Write in exponential form
∛x⁷
∛x⁷
a)
x⁷∕ ³
b)
x3⁄7
c)
3x⁷
d)
7x³
9.
The square root of 36x2 is __________
a)
6
b)
6x
c)
4x
d)
6x2
10.
Re-write the expression in radical form.
x2/3
x2/3
a)
∛x2
b)
√x3
c)
(1/x)
d)
∛x
11.
Write in exponential form
∛x⁷
∛x⁷
a)
x⁷∕ ³
b)
x3⁄7
c)
3x⁷
d)
7x³
12.
Rewrite the following as a radical. Simplify if possible.
a)
A
b)
B
c)
C
d)
D
13.
The square root of 36x2 is __________
a)
6
b)
6x
c)
4x
d)
6x2
14.
What is the value of 27⅓?
a)
27
b)
9
c)
3
d)
1/3
15.
Classify this polynomial by its degree and number of terms: x2 + 6
a)
Linear polynomial
b)
Quadratic trinomial
c)
Quadratic binomial
d)
Cubic binomial
16.
Find the sum.
(2x2 + 5x - 7) + ( 3 - 4x2 + 6x)
(2x2 + 5x - 7) + ( 3 - 4x2 + 6x)
a)
2x2 + 3x +1
b)
-2x2 - 11x -4
c)
2x2 + 5x -7
d)
-2x2 + 11x -4
17.
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
18.
What is the standard form of the polynomial,
7x - 125 - 6x4 + 14x2
7x - 125 - 6x4 + 14x2
a)
125 + 7x - 14x2 +6x4
b)
6x4 -14x2 - 7x +125
c)
125 + 14x2 + 7x - 6x4
d)
-6x4+ 14x2 + 7x - 125
19.
Which expression represents the perimeter of the triangle?
a)
8xy + 3
b)
5x + y + 3
c)
5x + 4y + 3
d)
6x + 3y + 3
20.
(2n + 2)(6n + 1)
a)
12n + 2
b)
12n2 + 2
c)
12n2 + 12n + 2
d)
12n2 + 14n + 2
21.
(x+10)(x-10)
a)
x2 - 100
b)
x2 + 100
c)
x2 + 20x - 100
d)
x2 -20x + 100
22.
(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
23.
What is the greatest common factor of 48x2and 32x3?
a)
8x2
b)
16x2
c)
16x
d)
96x3
24.
What is the greatest common factor of 42xy2 and 28x3y?
a)
84x3y2
b)
14y
c)
14xy
d)
14xy2
25.
What is the greatest common factor of 18xy3 and 25x3y2?
a)
xy2
b)
x3y2
c)
1
d)
x2y3
26.
x2 + 8x + 2x + 16
a)
(x+2)(x+8)
b)
(x-2)(x-8)
c)
(x+1)(x+16)
d)
(x+6)(x+10)
27.
Factor:
6x2 + 2x – 21x – 7
a)
(2x +7)(3x – 1)
b)
(1x – 1)(6x+7)
c)
(2x – 7)(3x+1)
d)
(6x – 7)(1x+1)
28.
Factor the Trinomial:
x2 - 8x + 15
x2 - 8x + 15
a)
(x + 5) ( x + 3)
b)
(x - 5) (x - 3)
c)
(x + 15) (x - 1)
d)
(x - 7) (x - 8)
29.
Factor
x2 + 12x + 36
x2 + 12x + 36
a)
(x + 6)(x +6)
b)
(x + 9)(x - 4)
c)
(x - 12)(x + 3)
d)
(x - 6)(x - 6)
30.
Factor
3a2 + 4a + 1
3a2 + 4a + 1
a)
(7a-10)(a-8)
b)
Not factorable
c)
(3a+1)(a+1)
d)
(3a-1)(a-1)
31.
Factor
a2 - a - 12
a2 - a - 12
a)
(a - 4)(a + 3)
b)
(a + 6)(a - 4)
c)
(a - 6)(a + 4)
d)
(a + 4)(a - 3)
32.
4a2 - 25
a)
(2a + 5) (2a - 5)
b)
(2a - 5) (2a - 5)
c)
(x + 5) (x - 5)
d)
Can't factor using Diff. of Squares
33.
4m2 + 49
a)
(2m + 7) (2m - 7)
b)
(2m - 7) (2m - 7)
c)
(m + 7) (m - 7)
d)
Can't factor using Diff. of Squares
34.
r4 - q4
a)
(r2 + q2) (r2 - q2)
b)
(r2 - q2) (r2 - q2)
c)
(r + q) (r - q)
d)
Can't factor using Diff. of Squares
35.
Is this a perfect square trinomial?
x2 + 16x + 64
x2 + 16x + 64
a)
Yes
b)
No
36.
Is this a perfect square trinomial?
x2 + 18x + 9
x2 + 18x + 9
a)
Yes
b)
No
37.
Factor: x2 + 24x + 144
a)
(x + 12)2
b)
(x + 9)2
c)
(x + 15)2
d)
(x + 13)2
38.
Factor: x2 - 30x + 225
a)
(x + 15)2
b)
(x - 15)2
c)
(x + 25)2
d)
(x - 25)2
39.
What is a letter that represents an unknown number?
a)
Vocabulary
b)
Variable
c)
Constant
d)
Coefficient
40.
Terms in a polynomial are separated by what?
a)
Parenthesis
b)
Multiply/Divide
c)
Constants
d)
Add/Subtract
41.
Which of the following are examples of like terms?
a)
2 and 2x
b)
y3 and x3
c)
y and x
d)
-3x and 3x
42.
What is a mix of variables, constants, and operations that do NOT have an equal sign?
a)
Equation
b)
Expression
c)
Like Term
d)
Constant
43.
Simplify:
3x-5x
3x-5x
a)
2x
b)
8x
c)
-2x
d)
15x2
44.
Simplify:
-3(x - 4)
-3(x - 4)
a)
-3x - 12
b)
3x - 12
c)
3x + 12
d)
-3x + 12
45.
Simplify:
5(2x+5)
5(2x+5)
a)
10x + 5
b)
10x + 25
c)
7x + 10
d)
7x + 25
46.
Simplify:
-10x + 15 - 3x + 2
-10x + 15 - 3x + 2
a)
13x2 + 17
b)
-13x2 + 13
c)
-13x + 17
d)
-7x + 17
47.
Simplify:
6(–4x – 2) – 2(x + 10)
6(–4x – 2) – 2(x + 10)
a)
–26x – 32
b)
–26x + 8
c)
–22x + 8
d)
–26x + 8
48.
Simplify:
4x2 +9x +10 +3x2 +7x +2
4x2 +9x +10 +3x2 +7x +2
a)
23x2+12
b)
35x2
c)
7x2+16x+12
d)
23x+12
49.
What is the first step to solve this equation:
11 - 3x = 44
11 - 3x = 44
a)
Add 3 to both sides
b)
Subtract 11 from both sides
c)
Add 11 to both sides
d)
Divide 3 on both sides.
50.
Solve:
x - 8 = -5
x - 8 = -5
a)
13
b)
-13
c)
3
d)
-3
51.
Solve:
-(n - 8) = -2
-(n - 8) = -2
a)
6
b)
10
c)
-10
d)
-6
52.
Solve:
7x + 2(x + 3) = -39
7x + 2(x + 3) = -39
a)
x = 8
b)
x = -5
c)
x = 1
d)
x = -2
53.
Solve:
12 + 5w -4w = 15
12 + 5w -4w = 15
a)
w=1
b)
w=3
c)
w=5
d)
w=4
54.
Solve:
½(4x - 10) = 11
½(4x - 10) = 11
a)
x = 2
b)
x = 4
c)
x = 6
d)
x = 8
55.
Solve:
52 = -5x - 3
52 = -5x - 3
a)
x = 11
b)
x = -11
c)
x = 275
d)
x = -275
56.
Solve:
2x + 3(5x - 7) = 47
2x + 3(5x - 7) = 47
a)
1
b)
2
c)
3
d)
4
57.
Multiply
5x(2x + 3)
5x(2x + 3)
a)
10x2 + 15x
b)
7x + 15x
c)
7x2 + 8x
d)
25x2
58.
Multiply
(x+3)(x+1)
(x+3)(x+1)
a)
x2+3x+3
b)
2x+4x+3
c)
x2+4x+3
d)
5x + 3
59.
Multiply
(x+5)2
(x+5)2
a)
x2+25
b)
2x+10
c)
x2+10x+25
d)
12x
60.
Classify the polynomial:
3x2 – 8x + 1
3x2 – 8x + 1
a)
Monomial
b)
Binomial
c)
Trinomial
d)
4-Term Polynomial
61.
Classify the polynomial
7x + 1
7x + 1
a)
Monomial
b)
Binomial
c)
Trinomial
d)
Polynomial
62.
Which one is NOT a monomial
a)
3x - 4
b)
12z
c)
14v8w
d)
lmnop
63.
What is the degree of the polynomial:
x2 + 2x3 - x
x2 + 2x3 - x
a)
2
b)
3
c)
1
d)
6
64.
What is the degree of the polynomial?
x3 + x6y + y5 + 4x4y4
x3 + x6y + y5 + 4x4y4
a)
8
b)
3
c)
7
d)
5
65.
Simplify
(x2 + 7x) + (2x2 - 2x + 3)
(x2 + 7x) + (2x2 - 2x + 3)
a)
3x2 + 5x + 3
b)
5x2 + 3x + 5
c)
2x2 + 5x
d)
3x4 + 5x2 + 5
66.
Simplify
(2x + 5y - z) + (-6x - 4y + 7z)
(2x + 5y - z) + (-6x - 4y + 7z)
a)
-4x +6y + 6z
b)
4x + y + 6z
c)
-4x - y + 6z
d)
-4x + y + 6z
67.
Simplify
(3x²-3x+2) - (x²-2x+1)
(3x²-3x+2) - (x²-2x+1)
a)
2x²+x+1
b)
2x²-5x+3
c)
2x²-x+1
d)
4x²-5x+3
68.
Simplify
(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
69.
What is the perimeter of the rectangle?
a)
x²+8x-5
b)
2x²+16x-10
c)
2x²+10x-8
d)
6x-2
70.
If the exponents of the variable decrease from left to right, the polynomial is in ____________.
a)
Standard Form
b)
Standard Notation
c)
Simplified
d)
Order
71.
Factor:
6m2 + 16m
6m2 + 16m
a)
2(3m2 + 8m)
b)
2m(3m + 8)
c)
2m(3m - 8m)
d)
not factorable
72.
Factor:
x2 - 14x + 24
x2 - 14x + 24
a)
(x - 8)(x - 3)
b)
(x - 12)(x - 2)
c)
(x - 6)(x - 4)
d)
(x - 24)(x - 1)
73.
Factor:
x2 - 5x - 24
x2 - 5x - 24
a)
(x - 8)(x + 3)
b)
(x + 8)(x - 3)
c)
(x - 8)(x - 3)
d)
(x + 8)(x + 3)
74.
Factor:
x2 + 10x + 24
x2 + 10x + 24
a)
(x + 8)(x + 3)
b)
(x + 6)(x + 4)
c)
(x + 12)(x - 2)
d)
(x + 12)(x + 2)
75.
Factor:
k2-13k+40
k2-13k+40
a)
(k-10)(k+40)
b)
(k-5)(k-8)
c)
(k+5)(k-8)
d)
(k+10)(k-40)
76.
Factor:
3x2 + 7x + 2
3x2 + 7x + 2
a)
(3x + 2)(x +1)
b)
(3x + 1)(x +2)
c)
(3x + 2)(3x +1)
d)
(3x +1 )(x + 1)
77.
Factor:
9x2 + 3x - 2
9x2 + 3x - 2
a)
(3x + 1)(3x - 2)
b)
(3x + 2)(3x - 1)
c)
(3x - 1)(3x - 2)
d)
(3x + 2)(3x + 1)
78.
2. Cheryl gets paid $8 per hour for her job at the record store and $15 for working late on Saturday. She made a total of $96 last week. Which equation models this situation?
a)
96h + 15 = 8
b)
h/96 = 8
c)
8h + 15 = 96
d)
h/8 = 96
79.
Find the sum or difference.
a)
4x2-5x+13
b)
14x2-5x+13
c)
14x2+1x+1
d)
14x2+1x+13
80.
Find the sum or difference.
a)
-2m2n+19mn+2mn2
b)
6m2n-19mn+2mn2
c)
-6m2n+19mn+6mn2
d)
18m2n-19mn+6mn2
81.
Factor/simplify.
a)
35x2-27x+4
b)
35x2-13x-4
c)
2x2-7x+4
d)
12x2-27x-4
82.
Factor/simplify.
a)
5x3-13x2+18x-5
b)
6x3-7x2+22x+5
c)
5x3-23x2+22x-4
d)
6x3-23x2+22x-5
83.
Factor/simplify.
a)
m2-25
b)
m2+25
c)
m2-10m+25
d)
m2-10m+10
84.
Factor/simplify.
a)
4(x-1)(x+6)
b)
4(x-5)(x+6)
c)
(x+1)(x+5)
d)
(x-1)(x-6)
85.
Factor/simplify.
a)
(r-13)(r-13)
b)
(r+13)(r-13)
c)
(r+13)(r+13)
d)
(r-13)2
86.
Factor completely/simplify.
a)
(4x2+12)(x-2)
b)
(x+3)(4x2-2x)
c)
(2x2+6x)(2x-1)
d)
2x(x+3)(2x-1)
87.
Factor completely/simplify.
a)
4(v+3)(3v2-7)
b)
(3v+4)(v2-2)
c)
4v2(3v+4)(v2-2)
d)
4v2(3v+4)
88.
Factor completely/simplify.
a)
(3a-4)(2a2+4)
b)
(6a-8)(a2+2)
c)
2(3a-4)(a2+2)
d)
2(3a-4)(2a2+4)
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