Act Formula Sheet
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1
2
3Algebra
Properties of Exponents
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��
∙ ��
= ��
= ��
(��
)
= ��
(����)
= ��
��
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=
��
=
= ��
=
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Properties of Radicals
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��
= ��
����
=
��
∙
��
=
��
= ��
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��
= ��; if �� is odd
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��
= �� ; if �� is even
Quadratics
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��
± 2���� + ��
= (�� ± ��)
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��
+ �� + �� �� + ���� = (�� + ��)(�� + ��)
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��
− ��
= (�� + ��)(�� − ��)
Quadratic Formula
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When ����
+ ���� + �� = 0, �� =
.
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If ��
− 4���� > 0, there are two unique real solutions.
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If ��
− 4���� = 0, there are two repeated real solutions.
2
If ��
− 4���� < 0, there are two complex solutions.
Sequences and Series
Arithmetic
Geometric
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�� = ��
− ��
�� =
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term: ��
= ��
+ �� − 1 ��
term: ��
= ��
��
n
th
n
th
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finite sum: ��
=
(��
+ ��
)
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Data Analysis
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Mean (��):
�� =
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