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Worksheets

Polynomials Test REVIEW

Total questions: 48

Worksheet time: 2hrs 34mins

Name
Class
Date
1.
(3x + 4y - 3z) - (2x - 6y + 7z)
a)
x + 10y - 10z
b)
-x +10y - 10z
c)
x -10y - 10z
d)
-x -10y - 10z
2.
(4x3-5x2+3x)+(-2x3-x2+6x)
a)
2x3-6x2-9x
b)
2x3+6x2+9x
c)
-2x3-6x2+9x
d)
2x3-6x2+9x
3.
(5x- 4x- 2x2 + x - 19) - (x+ 5x3 + 8x2 + x + 5)
a)
4x- 9x- 10x- 24
b)
4x- 9x3 - 10x- 2x - 24
c)
4x4 - 9x3 - 10x2 + 2x - 24
d)
-4x4 - 9x3 - 10x2 - 24
4.
5(2x+5)
a)
10x + 5
b)
10x + 25
c)
7x + 10
d)
7x + 25
5.
-3(x - 4)
a)
-3x - 12
b)
3x - 12
c)
3x + 12
d)
-3x + 12
6.
5x(2x + 3)
a)
10x+ 15x
b)
7x + 15x
c)
7x2 + 8x
d)
25x2
7.
Multiply
x2(2x+3)
a)
x2+2x+3
b)
2x+3
c)
2x2+3x
d)
2x3+3x2
8.
Multiply 6xy3(2x2y4-7xy6)
a)
12x3y12-42x2y18
b)
12x2y7-42xy9
c)
12x3y7-42x2y9
d)
8x3y7-13x2y9
9.
Multiply  7x2y3 (2x4y5+6xy3)
a)
14x8y15+42x2y9
b)
9x6y8+13x3y6
c)
14x6y8+42x3y6
d)
14x6y8+42x2y6
10.
a)
A
b)
B
c)
C
d)
D
11.
a)
A
b)
B
c)
C
d)
D
12.
Classify by number of terms:
7x3 – 8x2 -4x+ 9
a)
Monomial
b)
Binomial
c)
Trinomial
d)
4-Term Polynomial
13.
What is the name of the polynomial?
7x + 1 
a)
Monomial
b)
Binomial
c)
Trinomial
d)
Polynomial
14.
Classify by number of terms:
3x2 – 8x + 1
a)
Monomial
b)
Binomial
c)
Trinomial
d)
4-Term Polynomial
15.
Combine Like Terms:
4y + 3x3 + 2y + 8x3 - 6y
a)
11x3
b)
11x3 + 12y
c)
5x3
d)
11x6
16.
Terms in a polynomial are separated by what?
a)
Parenthesis
b)
Multiply/Divide 
c)
Constants
d)
Add/Subtract
17.
What is the name of the polynomial?
12xy5z2
a)
Monomial
b)
Binomial
c)
Trinomial
d)
Polynomial
18.
Which one is NOT a monomial
a)
3x - 4
b)
12z
c)
14v8w
d)
lmnop
19.
Given the polynomial:
9x7 + 3x6 - 5 + x2
What is the constant?
a)
9
b)
3
c)
5
d)
-5
20.
How many terms does the following polynomial have?
3x2y+1
a)
3
b)
1
c)
2
d)
4
21.
Given the polynomial:
3x2 - 2 + x3
What is the Leading Coefficient?
a)
3
b)
2
c)
-2
d)
1
22.
Which of the following is a trinomial?
a)
x3
b)
x + 3
c)
x2 + 3x + 1
d)
3x
23.
Find the area of a rectangle with length (x-5) and width (3x+1).
a)
3x2+16x-5
b)
3x2-14x+5
c)
3x2-14x-5
24.
Classify by number of terms:
3x3 – 6x
a)
Monomial
b)
Binomial
c)
Trinomial
d)
4-Term Polynomial
25.

Classify by number of terms:

-2x2 – x

a)

Monomial

b)

Binomial

c)

Trinomial

d)

4-Term Polynomial

26.
Classify by number of terms:
7x3 – 8x2 -4x+ 9
a)
Monomial
b)
Binomial
c)
Trinomial
d)
4-Term Polynomial
27.
Classify:
2n³
a)
Monomial
b)
Binomial
c)
Trinomial
d)
Polynomial
28.
Classify:
x³ + 3x
a)
Monomial
b)
Binomial
c)
Trinomial
d)
Polynomial
29.
Classify:
6x³+3x²+2x−4
a)
Monomial
b)
Binomial
c)
Trinomial
d)
Polynomial
30.
What is the value of the coefficient?
−3x+6
a)
3
b)
6
c)
−3
d)
x
31.
What is the value of the constant?
2x² + 4x − 5
a)
2
b)
4
c)
5
d)
−5
32.
Classify:
2x⁴+14x³−2x²
a)
Monomial
b)
Binomial
c)
Trinomial
d)
Polynomial
33.
x(x-3)
a)
2x-3x
b)
-1x
c)
x2-3
d)
x2-3x
34.
2x (-2x - 3)
a)
-4x - 3
b)
x2 - 3
c)
-4x2 - 6x
d)
-4x - 6
35.
4a(5a2 - a + 4)
a)
20a3 - 4a2 + 16a
b)
20a2 - 5a + 8a
c)
20a2 + 4a2 + 16a
d)
20a3 +3a2 + 16a
36.
Find the product:
-3x2(5x2 + 3x)
a)
-15x4 - 9x2
b)
-15x4 - 9x3
c)
15x4 - 6x3
d)
-15x4 + 9x3
37.
Subtract the following polynomials:
(7p + 4p3 - 8) - (-3p+ 2 - 9p)
a)
-3p+ 4p3 -15 + 9
b)
3p3 + 4p2 - p + 3
c)
4p3 +3p2 +16p -10
d)
4p3 +3p2 + 16p + 10
38.
Subtract the following polynomials:
(a3 - 2a2) - (-4a3 + 4a2)
a)
-5a6 - 5a4
b)
5a - 2a2
c)
-2a - 6a2
d)
5a3 - 6a2
39.
Add or Subtract to Simplify:
(5x + x2 - 4) - (4x - x2 + 6)
a)
2x2 + x + 2 
b)
x + 2
c)
2x2 + x - 10 
d)
x - 10 
40.
Find the perimeter of a rectangle with length (x-5) and width (3x+1).
a)
8x-8
b)
4x-4
c)
8x+8
d)
4x+12
41.
a)
A
b)
B
c)
C
d)
D
42.
a)
A
b)
B
c)
C
d)
D
43.
a)
A
b)
B
c)
C
d)
D
44.
a)
4y6
b)
4y22
c)
30y6
d)
30y22
45.
a)
5w 2 − 4w + 3
b)
12w 2 − 9w + 6
c)
12w 2 − 12w + 9
d)
5w 2 − 12w+ 9
46.
Divide:
(9x2 + 6x)  ÷ 3x
a)
3x + 2
b)
3x2 + 2x
c)
5x2
d)
3x + 6
47.
a)
-5x10
b)
4x+ 18x6
c)
-6x+ 16x2
d)
4x- 9x2
48.
Divide8x2 -4x + 12  by 2x
a)
4x+2
b)
4x-2+6/x
c)
4x-2
d)
4x-2+12/2x