Monomial Worksheets
1Indicate which of the following expressions are monomials. If it is, indicate the degree and coefficient of the monomial. If it is not, state why it is not a monomial:
13x3
25x−3
33x + 1
4
5
6
7
2 Simplify:
12x2y3z + 3x2y3z
22x3 − 5x3 =
33x4 − 2x4 + 7x4 =
42 a2bc3 − 5a2bc3 + 3a2bc3 − 2 a2bc3 =
3Solve:
1(2x3) · (5x3) =
2(12x3) · (4x) =
35 · (2x2y3z) =
4(5x2y3z) · (2y2z2) =
5(18x3y2z5) · (6x3yz2) =
6(−2x3) · (−5x) · (−3x2) =
4 Solve:
1(12x3) : (4x) =
2(18x6y2z5) : (6x3yz2) =
3(36x3y7z4) : (12x2y2) =
4
5
6
5 Solve:
1(2x3)3 =
2(−3x2)3 =
3
1
Indicate which of the following expressions are monomials. If it is, indicate the degree and coefficient of the monomial. If it is not, state why it is not a monomial:
13x3
Degree: 3, coefficient: 3
2 5x−3
It is not a monomial because the exponent is not a natural number.
33x + 1
It is not a monomial because there is an addition.
4
Degree: 1, coefficient: 
5
Degree: 4, coefficient: 
6
It is not a monomial because it does not have a natural exponent.
7
It is not a monomial because the literal part is within a root.
2
Simplify:
12x2y3z + 3x2y3z = 5x2y3z
22x3 − 5x3 = −3x3
33x4 − 2x4 + 7x4 = 8x4
42a2bc3 − 5a2bc3 + 3a2bc3 − 2a2bc3 = −2a2bc3
3
Solve:
1(2x3) · (5x3) = 10x6
2(12x3) · (4x) = 48x4
35 · (2x2 y3z) = 10x2y3z
4(5x2y3z) · (2 y2z2) = 10x2y5z3
5(18x3y2z5) · (6x3yz2) = 108x6y3z7
6(−2x3) · (−5x) · (−3x2) = −30x6
4
Solve:
1(12x3) : (4x) = 3x2
2(18x6y2z5) : (6x3yz2 ) = 3x3yz3
3(36x3y7z4) : (12x2y2) = 3xy5z4
4
5 4x3y + 3x2y2 − 8x8
6
5
Solve:
1(2x3)3 = 23 · (x3)3 = 8x9
2(-3x2)3 = (-3)3 · (x3)2 = −27x6
3
