R Flashcards

1
Q

Quadratic Formula

A

x = -b +/- √(b^2 - 4ac)

/ 2a

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2
Q

If b^2 - 4ac is equal to 0, how many solutions?

A

One solution.

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3
Q

If b^2 - 4ac is positive, how many solutions?

A

Two solutions.

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4
Q

If b^2 - 4ac is negative, how many solutions?

A

No solution.

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5
Q

An integer is divisible by 3 if the sum of the integer’s digits…

A

is divisible by 3.

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6
Q

A number is divisible by 4 if

A

it’s simply divisible by 2 twice, or

if the last two digits are divisible by 4.

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7
Q

An integer is divisible by 6 if

A

it’s divisible by both 2, and 3 (sum of digits are divisible by 3).

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8
Q

An integer is divisible by 8 if

A

the last 3 digits are divisible by 8 (divisible by 2 three times)

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9
Q

An integer is divisible by 9 if

A

the sum of the integer’s digits is divisible by 9

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10
Q

Factor Foundation Rule

A

If a is a factor of b, and b is a factor of c, then a is definitely a factor of c.

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11
Q

Even x even

A

Even

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12
Q

Even x Odd

A

Even

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13
Q

Odd x Odd

A

Odd

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14
Q

Even + Even

A

Even

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15
Q

Even + Odd

A

Odd

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16
Q

Odd + Odd

A

Even

17
Q

3!

A

6

18
Q

4!

A

24

19
Q

5!

A

120

20
Q

6!

A

720

21
Q

7!

A

5040

22
Q

Multiple + non-multiple =

A

Non-multiple

23
Q

Non-multiple + non-multiple =

A

Multiple OR non-multiple

24
Q

Within the prime circles: GCF is the product of

A

all the primes in the shared region only.

25
Q

Within the prime circles: LCM is the product of

A

all the primes in the diagram (just count once the ones on shared region).

26
Q

Within prime column: how to compute for GCF:

A

Take the prime bases with smallest count of power and multiply

27
Q

Within prime column: how to compute for LCM:

A

Take the prime bases with the highest count of power and multiply.

28
Q

How many different prime factors means

A

How many unique prime factors

29
Q

How many total prime factors (length) means

A

How many total prime factors (the length).

30
Q

How many total factors means

A

How many factor pairs

31
Q

Perfect square integers have how many total factors?

A

Odd number of total factors.

32
Q

N! is a multiple of

A

all the numbers from 1 to N