WorksheetsPolynomials & Factoring
Total questions: 40
Worksheet time: 55mins
Name
Class
Date
1.
What is a letter that represents an unknown number?
a)
Vocabulary
b)
Variable
c)
Constant
d)
Coefficient
2.
Terms in a polynomial are separated by what?
a)
Parenthesis
b)
Multiply/Divide
c)
Constants
d)
Add/Subtract
3.
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
4.
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
5.
Simplify:
3x-5x
3x-5x
a)
2x
b)
8x
c)
-2x
d)
15x2
6.
Simplify:
-3(x - 4)
-3(x - 4)
a)
-3x - 12
b)
3x - 12
c)
3x + 12
d)
-3x + 12
7.
Simplify:
5(2x+5)
5(2x+5)
a)
10x + 5
b)
10x + 25
c)
7x + 10
d)
7x + 25
8.
Simplify:
-10x + 15 - 3x + 2
-10x + 15 - 3x + 2
a)
13x2 + 17
b)
-13x2 + 13
c)
-13x + 17
d)
-7x + 17
9.
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
10.
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
11.
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.
12.
Solve:
x - 8 = -5
x - 8 = -5
a)
13
b)
-13
c)
3
d)
-3
13.
Solve:
-(n - 8) = -2
-(n - 8) = -2
a)
6
b)
10
c)
-10
d)
-6
14.
Solve:
7x + 2(x + 3) = -39
7x + 2(x + 3) = -39
a)
x = 8
b)
x = -5
c)
x = 1
d)
x = -2
15.
Solve:
12 + 5w -4w = 15
12 + 5w -4w = 15
a)
w=1
b)
w=3
c)
w=5
d)
w=4
16.
Solve:
½(4x - 10) = 11
½(4x - 10) = 11
a)
x = 2
b)
x = 4
c)
x = 6
d)
x = 8
17.
Solve:
52 = -5x - 3
52 = -5x - 3
a)
x = 11
b)
x = -11
c)
x = 275
d)
x = -275
18.
Solve:
2x + 3(5x - 7) = 47
2x + 3(5x - 7) = 47
a)
1
b)
2
c)
3
d)
4
19.
Multiply
5x(2x + 3)
5x(2x + 3)
a)
10x2 + 15x
b)
7x + 15x
c)
7x2 + 8x
d)
25x2
20.
Multiply
(x+3)(x+1)
(x+3)(x+1)
a)
x2+3x+3
b)
2x+4x+3
c)
x2+4x+3
d)
5x + 3
21.
Multiply
(x+5)2
(x+5)2
a)
x2+25
b)
2x+10
c)
x2+10x+25
d)
12x
22.
Classify the polynomial:
3x2 – 8x + 1
3x2 – 8x + 1
a)
Monomial
b)
Binomial
c)
Trinomial
d)
4-Term Polynomial
23.
Classify the polynomial
7x + 1
7x + 1
a)
Monomial
b)
Binomial
c)
Trinomial
d)
Polynomial
24.
Which one is NOT a monomial
a)
3x - 4
b)
12z
c)
14v8w
d)
lmnop
25.
What is the degree of the polynomial:
x2 + 2x3 - x
x2 + 2x3 - x
a)
2
b)
3
c)
1
d)
6
26.
What is the degree of the polynomial?
x3 + x6y + y5 + 4x4y4
x3 + x6y + y5 + 4x4y4
a)
8
b)
3
c)
7
d)
5
27.
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
28.
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
29.
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
30.
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
31.
What is the perimeter of the rectangle?
a)
x²+8x-5
b)
2x²+16x-10
c)
2x²+10x-8
d)
6x-2
32.
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
33.
Factor:
6m2 + 16m
6m2 + 16m
a)
2(3m2 + 8m)
b)
2m(3m + 8)
c)
2m(3m - 8m)
d)
not factorable
34.
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)
35.
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)
36.
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)
37.
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)
38.
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)
39.
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)
40.
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
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