Formulas and Properties Flashcards

To remember Formulas and Properties for Exam

1
Q

Order of Operation

A

PEMDAS

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2
Q

Mean

A

(Sum of Data/How many # of Data Points)

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3
Q

Median

A

Middle Value

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4
Q

Mode

A

Most Occurring Number

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5
Q

Adding Numbers with the Same Sign

A

To add two numbers with the same sign, add their absolute value. The sum has the same sign as the addends.

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6
Q

Adding Numbers with Different Signs

A

To add two numbers with different signs, find the difference of their absolute value. The sum has the same sign as the addends with the greater absolute value.

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7
Q

Subtracting Numbers

A

To subtract a number, add its opposite.

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8
Q

Multiplying Numbers with the Same Sign

A

The product of two positive numbers or two negative numbers is positive,

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9
Q

Multiplying Numbers with Different Signs

A

The product of a positive number and a negative number, or a negative number and a positive number, is negative

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10
Q

Dividing Numbers with the Same Sign

A

The quotient of two positive numbers or two negative numbers is positive.

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11
Q

Dividing Numbers with Different Signs

A

The quotient of a positive number and a negative number, of a negative number and a positive number, is negative

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12
Q

Probability of Two Independent Events

A

If A and B are independent events,

P(A and B) = P(A) * P(B)

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13
Q

Probability of Two Dependent Events

A

If A and B are dependent events,

P(A then B) = P(A) * P(B after A)

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14
Q

Steps for Solving a Multi-Step Equation

A

Clear of fractions and decimals, Use Distributive Property to remove parentheses on both sides, combine like terms on each side, undo addition and subtraction, undo multiplication and division.

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15
Q

Solving Absolute Value Equations

A

To solve an equation in the form of [A] = b, when A represents a variable expression and b > 0, solve A = b and A = -b

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16
Q

Solving Absolute Value Inequalities

A

! To solve an inequality in the form [A] < b, when A represents a variable expression and b > 0, solve for
-b < A < b
! To solve an inequality in the form [A] > b, when A represents a variable expression and b>0, solve for
A< -b or A > b

17
Q

Slope

A

(rise/run) = (y_2 - y_1 / x_2 - x_1)

18
Q

Slopes of Lines (+)

A

Is slanted upward from left to right

19
Q

Slopes of Lines (-)

A

Is slanted downward from left to right

20
Q

Slopes of Lines (0)

A

Is horizontal

21
Q

Slopes of Lines (Undefined)

A

Is vertical