ACT Math 1 - Formulas and Definitions

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Commutative Property

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Math

ACT

Math

29 Terms

1

Commutative Property

Order of operands can be changed without affecting the result in addition and multiplication operations.

<p>Order of operands can be changed without affecting the result in addition and multiplication operations.</p>
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2

Associative Property

The grouping of operands doesn't change the result in addition and multiplication operations.

<p>The grouping of operands doesn't change the result in addition and multiplication operations.</p>
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3

Distributive Property

Multiplying a number by a sum (or difference) is the same as multiplying the number by each term in the sum (or difference)

<p>Multiplying a number by a sum (or difference) is the same as multiplying the number by each term in the sum (or difference)</p>
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4

Identity Property

The sum of any number and zero is the number itself, and the product of any number and one is the number itself.

<p>The sum of any number and zero is the number itself, and the product of any number and one is the number itself.</p>
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5

Inverse Property

For any number, there exists an additive inverse such that when added together, they result in zero, and a multiplicative inverse such that when multiplied together, they result in one.

<p>For any number, there exists an additive inverse such that when added together, they result in zero, and a multiplicative inverse such that when multiplied together, they result in one.</p>
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6

Translation

(x, y) → (x+a, y+a)

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7

Reflection across the x-axis

(x, y) → (x, -y)

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8

Reflection across the y-axis

(x, y) → (-x, y)

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9

Reflection across the line y=x

(x, y) → (y, x)

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10

Rotation 90 about the origin

(x, y) → (-y, x)

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11

Rotation 180 about the origin

(x, y) → (-x, -y)

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12

Rotation 270 about the origin

(x, y) → (y, -x)

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13

Dilation with respect to the origin and scale factor of k

(x, y) → (kx, ky)

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14

Conditional statement

If A, then B

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15

Converse

If B, then A

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16

Inverse

If not A, then not B

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17

Contrapositive

If not B, then not A

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18

Biconditional

A if and only if B

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19

Reflexive Property

a = a

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20

Symmetric Property

If a = b, then b = a

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21

Transitive Property

If a = b, and b = c, then a = c

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22

Simple Interest

I = Prt

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23

Compound Interest

A = P(1+r)^t

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24

Compound Interest (GF)

A= P(1+r/n)^nt

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