Simplifying Polynomial Expressions - Problems with Solutions

By Catalin David
Problem 1
Which of these is a monomial,
3x2 or 5x-3?
Problem 2
Which of these is a monomial,
-4x3 or 2x2 - 1?
Problem 3
Which of these is a monomial,
$4x^{7}$ or $2x^{\dfrac{1}{3}}$ ?
Problem 4
Which of these is a monomial,
$\dfrac{4}{x^{3}}$ or $ -7x^{5}$?
Problem 5
Are -6x5 and 2x5 like terms?
Problem 6
Are 4x3 and 4x7 like terms?
Problem 7
Are $2x^{7}$ and $ 2y^{7}$ like terms?
Problem 8
Are -8x2y and 7x2y like terms?
Problem 9
Are $\dfrac{2}{3}ab^{3}y$ and $\dfrac{4}{7}a^{3}b$ like terms?
Problem 10
6x + 8x =

Problem 11
3x4+ 9x4=
Problem 12
6x5 + 8x5=
Problem 13
-7x2 + 10x2=
Problem 14
-12x3 + 5x3=
Problem 15
-8x6 + 8x6 =
Problem 16
9x6 - 3x6=
Problem 17
x4 - 8x4=
Problem 18
7a4 - 11a4 =
Problem 19
-4x9 - 6x9 =
Problem 20
-8y2 - 9y2=
Problem 21
4x3 ⋅ 6 =
Problem 22
-7x8⋅ (-3)=
Problem 23
5x3⋅(-2)=
Problem 24
8x ⋅ 3x=
Problem 25
-9x2 ⋅ (-4x)=
Problem 26
6x4⋅ 3x2 =
Problem 27
-4x5⋅ 2x4=
Problem 28
6x5 ⋅ 8y4=
Problem 29
-4x2⋅ 7y3=
Problem 30
48x3 : (-6)=
Problem 31
12x6 ÷ 4x3 =
Problem 32
32x8 ÷ 8x =
Problem 33
-15x5 ÷ 5x4 =
Problem 34
-24x8÷ 3x8 =
Problem 35
(-2x)4=
Problem 36
(2x3)4=
Problem 37
(-3x3)3=
Problem 38
5x - 3 + 4x + 7 =
Problem 39
3x2 + 9 + 7x - 4 =
Problem 40
-5x3 + 8x - 5 - 3x3 - 4x + 1=
Problem 41
6x3 - 4x2 + 5x - 1 - 3x2 + 4 =
Problem 42
(6x2 - 5x + 3) - (4x2 + 7x + 8) =
Problem 43
4 ⋅ (3x - 5) =
Problem 44
-8⋅(2x2 - 7x + 3)=
Problem 45
(-5x2 + 4x - 1)⋅6=
Problem 46
3x⋅(2x - 5)=
Problem 47
(-8x2 + 7x - 3)⋅9x=
Problem 48
-5x3⋅(-2x2 + 3x - 4) =
Problem 49
2x2⋅(-4x3 + 2x - 5) =
Problem 50
(2x2)3(3x - 2)=
Problem 51
(4x - 3)⋅(2x + 7)=
Problem 52
$(3x+4)\cdot(2-5x) =$
Problem 53
$(3x^{2}+8)\cdot(2x-9) =$
Problem 54
$5x^{2}-(4x-3)(3x+2)=$
Problem 55
$2x^{2}+(5x+4)(2x-3)=$
Problem 56
$3(5x-2)(2x+3)=$
Problem 57
$(4x-3)(3x-7)(-2)=$
Problem 58
(x + 3)2=
Problem 59
$(x+5)^{2}=$
Problem 60
$(2x+7)^{2}=$
Problem 61
$(x-2)^{2}=$
Problem 62
$(x-7)^{2}=$
Problem 63
$(5x-3)^{2}=$
Problem 64
$(x+5)\cdot(x-5)=$
Problem 65
$(x-3)\cdot(x+3)=$
Problem 66
$(3x-4)\cdot(3x+4)=$
Problem 67
$(5x+7)\cdot(5x-7)=$
Problem 68
$(9-x)\cdot(9+x)=$
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