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Polynomial Practice

Total questions: 60

Worksheet time: 15hrs 0mins

Name
Class
Date
1.

A term that has no variable

a)

Term

b)

Degree

c)

Constant

d)

Leading Coefficient

2.

A polynomial that has two terms

a)

Monomial

b)

Binomial

c)

Trinomial

d)

Polynomial

3.

A polynomial that has one term

a)

Monomial

b)

Binomial

c)

Trinomial

d)

Polynomial

4.

A polynomial that has three terms

a)

Monomial

b)

Binomial

c)

Trinomial

d)

Polynomial

5.

What is the constant in the polynomial x2 - 2x + 5?

a)

1

b)

2

c)

5

d)

0

6.
The number before a variable is the _____.
a)
term
b)
constant
c)
coefficient
d)
variable
7.
A number with no variable attached is called a  _____.
a)
coefficient
b)
constant
c)
variable
d)
term
8.
Identify a constant in the expression
3x + 2y + 7
a)
3
b)
2y
c)
7
d)
2
9.
Identify the variables in the expression
3x +  9
a)
x
b)
y
c)
9
d)
3x
10.
How many terms are in the expression
3a + 2b + c + 100
a)
3
b)
4
c)
5
d)
6
11.
How many coefficients are in expression?
a)
1
b)
2
c)
3
d)
4
12.
What is the coefficient in this expression?
3x+4-2
a)
x
b)
4
c)
3x
d)
3
13.
How many terms are in the following expression?
 7y  + 3 - 7k  -2
a)
2
b)
7
c)
4
d)
3
14.
List the terms in this expression.
7x-6+8
a)
7x & 8
b)
7
c)
7, 6, 8
d)
7x, 6 & 8
15.
How many terms are in the algebraic expression?
a)
5
b)
2
c)
4
d)
3
16.

Like terms have the same variables and the same exponents.

a)

true

b)

false

17.
Identify the "like terms" in the expression: 
2x + 4y - 3x + y - x
a)
2x and 4y and -3x
b)
2x and -3x and x
4y and y 
c)
they are all like terms
d)
there are no like terms
18.
Are -c and 4c like terms?
a)
Yes
b)
No
19.
Are x + y like terms?
a)
Yes
b)
No
20.
Are 7a and 4a like terms?
a)
Yes
b)
No
21.

Identify the like terms: 7y + 5r -4r + 2w +r

a)

7y and 2w

b)

5r ,-4r, and r

c)

5r abd r

d)

none

22.
Which expression is equivalent to
v + v + v + v + v?
a)
5v
b)
v5
c)
v + 5
d)
v5
23.
Simplify by combining like terms:
5a + 2b - 3a + 4
a)
8a + 2b + 4
b)
2a + 2b + 4
c)
8ab
d)
4ab + 4
24.
Combine like terms
3x + 2x + 3y - 7y
a)
5x + 10y
b)
5x + 4y
c)
5x - 4y
d)
5x -10y
25.

Simplify by combining like terms:

-6k + 7k

a)

k

b)

-k

c)

12k

d)

-12k

26.
True or False:
4 and 14 are like terms.
a)
True 
b)
False
27.

Are these like terms?

y and y2

a)

Yes

b)

No

28.
Simplify the expression: 7v + 2 + 12 + 2v
a)
23
b)
23v
c)
9 + 14v
d)
9v + 14
29.

Which of these are like terms in the following expression:

3x + 9x + 2x2

a)

7, 24y

b)

3x, 9x

c)

3x, -9x

d)

3x, -9x, 2x2

30.

What are the like terms in the following expression?

5a + 2b + 3a

a)

5a, -3a

b)

5a, 3a

c)

5a, 2b

d)

5a, 4

31.

a)

−3n4 − 3n2 +2-3n^4\ -\ 3n^2\ +2

b)

−3n4 − 3n2 −4-3n^4\ -\ 3n^2\ -4

c)

−3n2 + 2-3n^2\ +\ 2

d)

3n2 − 23n^2\ -\ 2

32.

(-1 - 6n4) + (7 + n4)

a)

-5n4 + 11

b)

-5n4 + 6

c)

11

d)

-6n4 + 11

33.

(-7x3 - 2x4) + (4x3 + 4x4)

a)

2x4 + 5x3

b)

2x4 + 4x3

c)

2x4 - 3x3

d)

2x4 + 3x3

34.

(-x3 + 7x4) + (-6x3 + 5x4)

a)

12x4 - 6x3

b)

12x4 - 4x3

c)

12x4 - 7x3

d)

12x4

35.

(-7n - 5) + (8n - 8)

a)

5n - 20

b)

n - 20

c)

11n - 20

d)

n - 13

36.

(3x - 8x4) - (-3x + 6x4)

a)

-14x4 + 6x

b)

-20x4 - x

c)

-18x4 + 6x

d)

-18x4 - x

37.

(-4r + 8) - (-3r + 2)

a)

-r + 11

b)

-r + 3

c)

-r + 6

d)

6r + 3

38.

(-3p2 - 8p4) - (-3p2 -6p4)

a)

4p4 - 6p2

b)

4p4

c)

4p4 - p2

d)

-2p4

39.

(-2a2 - 3a4) - (6a2 - a4)

a)

3a4 - 15a2

b)

3a4 - 182

c)

3a4 - 8a2

d)

-2a4 - 8a2

40.

(-6n4 + 4n) - (-n -8n4)

a)

9n4 + 5n

b)

12n4 + 5n

c)

14n4 + 5n

d)

2n4 + 5n

41.

(-2a2 + 3a4 + 5) + (-8a4 - 6a2 - 4)

a)

-a4 - 5a2 + 4

b)

-a4 - 8a2 + 1

c)

-5a4 - 8a2 + 1

d)

-a4 - 5a2 + 1

42.

(-8v2 + 3v3 + 2) + (6v4 - 3 - 2v3)

a)

-2v4 - 3v3 -8v2 -2

b)

6v4 + v3 - 8v2 - 1

c)

-2v4 - 3v3 - 8v2 - 1

d)

6v4 - 3v3 - 8v2 - 1

43.

(6 + 7k3 + k2) + (-5k3 + k2 + 3)

a)

2k3 + 2k2 + 11

b)

2k3 + 2k2 + 9

c)

2k3 + 2k2 + 1)

d)

2k3 + 2k2 + 4

44.

(-3 + 8x3 - 6x4) + (-7x4 + 4 -2x3)

a)

-9x4 + 6x3 - 2

b)

-13x4 + 6x3 + 1

c)

-13x4 + 6x3 - 2

d)

-16x4 + 6x3 - 2

45.

(5 - 7p + 8p4) + (-8p + 8 - 4p4)

a)

4p4 - 15p + 8

b)

11p4 - 15p + 4

c)

4p4 - 15p + 13

d)

11p4 - 15p + 8

46.

(7v4 + 8v + 8v2) - (2v2 + 2 + 2v)

a)

7v4 + 8v2 + 9v - 2

b)

7v4 + 6v2 + 6v - 2

c)

7v4 + 8v2 + 9v + 2

d)

7v4 + 8v2 + 6v - 2

47.

(7 + 4x2 + 2x3) - (8x3 + 6x2 - 2x4)

a)

2x4 - 6x3 - 10x2 + 7

b)

2x4 - 6x3 - 10x2

c)

2x4 - x3 - 10x2

d)

2x4 - 6x3 - 2x2 + 7

48.

(3a2 - 4 - a3) - (-6a + 5 - 8a3)

a)

7a3 - 3a2 + 6a - 16

b)

7a3 + 3a2 + 6a - 9

c)

7a3 - 3a2 + 6a - 20

d)

7a3 + 3a2 + 6a - 16

49.

(x4 + x + 4) - (-2x3 - 8x - 3)

a)

x4 + 2x3 + 9x - 1

b)

-6x4 + 5x3 + 9x - 1

c)

x4 + 5x3 + 9x - 1

d)

x4 + 2x3 + 9x + 7

50.

(-7 - 8p - 4p2) - (-2 - 4p4 + 4p2)

a)

-8p4 - 8p2 - 10p - 5

b)

4p4 - 8p2 - 8p - 5

c)

-3p4 -8p2 - 8p - 5

d)

-8p4 - 8p2 - 8p - 5

51.
Simplify:
2x ( -2x -3)
a)
-4x - 3
b)
x2 - 3
c)
-4x2 - 6x
d)
-4x - 6
52.
(x +2)(x + 3)
a)
x2 + 5x + 6
b)
x2 + x + 6
c)
x2 + 5x + 5
d)
x2 + 6x + 6
53.
(x + 5)(x + 4)
a)
x2 + x + 20
b)
x2 + 20x + 9
c)
x2 + 9x + 20
d)
x2 - 9x + 54
54.
(x + 7)(x + 9)
a)
x2 + 63x + 16
b)
x2 + 16x + 63
c)
x2 + 79
d)
x2 + 16x + 2
55.
(x - 5)(x + 1)
a)
x2 - 4x - 5
b)
x2 + 6x - 5
c)
x2 - 5x - 4
d)
x2 - 4x - 4
56.
(x - 3)(x +10)
a)
x2 - 7x + 13
b)
x2 - 6x - 30
c)
x2 + 7x - 30
d)
x2 + 13x + 30
57.
(2x - 1)(x + 2)
a)
2x2 + 3x - 2
b)
2x2 - 5x - 2
c)
2x2 + 3x + 2
d)
2x2 - 5x + 2
58.
(5c-2)(3c2-5c+4)
a)
15c3-31c4+30c2-8
b)
15c3-19c2+10c-8
c)
15c3-31c2+30c-8
d)
15c3-31c2+30c+8
59.
(4x+1)(5x−2)
a)
20x2 + 3x − 2
b)
20x2 − 11x + 5
c)
20x2 − 18x + 2
d)
20x2 − 3x − 2
60.
(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

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