Math Formula Sheet
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1MAT092 Formula Sheet
Revised Fall 2015
Area (units squared)
Triangle
Rectangle
Parallelogram
bh
A = lw
A = bh
1
bh
A =
=
2
2
Trapezoid
Square
Circle
1
2
�� = ��
A = πr
2
ℎ ( ��
)
�� =
+ ��
1
2
2
Volume (units cubed)
Rectangular Solid Sphere
Cube
Sphere
4
3
�� = ��
V = lwh
3
�� =
����
3
Cylinder
Cone
Pyramid
1
1
2
�� = ����
ℎ
2
�� =
����
ℎ
�� =
����ℎ
3
3
Surface Area (units squared)
Rectangular Solid
Cylinder
SA = 2πr
+ 2πrh
2
SA = 2lw + 2lh + 2wh
Graphing
Slope
Slope Intercept Form
Standard Form
y
���� + ���� = ��
y
y = mx + b
m
2
1
x
x
2
1
Point-Slope Form
Midpoint
Distance
x
y
�� − ��
= ��(�� − ��
)
d (x
x
(y
y
x
y
2
2
1
1
)
)
1
2
1
2
,
2
1
2
1
2
2
Perimeter
Rectangle
Square
Circle (Circumference)
�� = 4��
C = πd or C = 2πr (d = 2r)
P = 2l + 2w
Triangle Formulas
Degrees
Pythagorean Theorem
m(A) m(B) m(C) 180
2
2
2
c
= a
+ b
Factoring Polynomials
Sum and Difference of Two Cubes
Difference of two Squares
Perfect Square Trinomial
3
3
2
2
2
2
2
2
2
��
+ ��
= (�� + ��)(��
− ���� + ��
)
��
− ��
= (�� − ��)(�� + ��)
��
+ 2���� + ��
= (�� + ��)
3
3
2
2
2
2
2
��
− ��
= (�� − ��)(��
+ ���� + ��
)
��
− 2���� + ��
= (�� − ��)
2
−�� ± √��
− 4����
Quadratic Formula
�� =
2��
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