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ACT Prep > Math > Flashcards

Math Flashcards

1
Q

What does “ I x I “ represent?

A

The distance x is from 0

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2
Q

What is “ I x - h I “

A

The distance x is from h

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3
Q

What is the determinant of the 2*2 matrix (a/c b/d)?

A

ad-bc

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4
Q

What does “ i “ represent?

A

Root -1

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5
Q

What is “i squared”

A

-1

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6
Q

What is the English for asymptote?

A

Tends towards

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7
Q

What is the English for exponent?

A

Index (Indicy)

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8
Q

What are the 3 horizontal asymptote rules?

A

Let N = the largest indicy in the numerator
Let D = the largest indicy in the denominator

  1. If N>D there is no horizontal asymptote
  2. If N=D the horizontal asymptote is y=the ratio of leading coefficients
  3. If N<D the horizontal asymptote is y=0
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9
Q

What must an absolute value be?

A

≥ 0

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10
Q

What solution will absolute value that is = -5

A

No solution since an absolute value is ≥ 0, so it can never equal to a negative

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11
Q

What solution is there to an absolute value that is ≤ -5

A

No solution since an absolute value is always ≥ 0 so it will never be < or ≤to a negative

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12
Q

What solution will there be to an absolute value that is ≥ -5

A

Infinite solutions since an absolute value is always 0 so it will always be > than a negative

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13
Q

When is there no horizontal asymptote?

A

When the largest indicy in the numerator is greater than the largest indicy in the denominator

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14
Q

When is the horizontal asymptote y = 0?

A

When the largest indicy in the denominator is greater than the largest indicy in the numerator

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15
Q

What is the horizontal asymptote when the largest indicy in the denominator is equal to the largest indicy in the numerator?

A

The ratio of leading coefficients

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16
Q

When do x intercepts occur in asymptotes?

A

When ONLY the numerator equals 0

17
Q

When do vertical asymptotes occur?

A

When ONLY the denominator = 0

18
Q

When do holes occur in asymptotes?

A

When both the numerator and the denominator = 0

19
Q

How do you find the x value of a hole in an asymptote?

A

It is the answer

20
Q

How do you find the y value in holes in asymptotes?

A

Simplify the equation and plug in the x value

21
Q

When do slant asymptotes occur?

A

When the largest exponent in the numerator is 1 greater than the largest exponent in the denominator

22
Q

how do you find the slant asymptote?

A

Divide and ignore the remainder

23
Q

What is the area of a trapezoid?

A

1/2 (a + b)H

24
Q

What is the area of a parallelogram?

A

Base X Perpendicular Height

25
Q

What are the 2 ways of finding the area of a rhombus?

A
  1. Base X Perpendicular Height
  2. 1/2 diagonal 1 * diagonal 2
26
Q

What is the volume of a pyramid?

A

1/3 area of base X height

27
Q

What is an even function?

A

f(-x) = f(x)
- When it is symmetric across the y axis

28
Q

What is an odd function?

A

f(-x) = -f(x)
- reflected across the origin

29
Q

What type of function is sin(x)?

A

Odd

30
Q

What type of function is csc(x)?

A

Odd

31
Q

What type of function is tan(x)?

A

Odd

32
Q

What type of function is cot(x)?

A

Odd

33
Q

What type of function is cos(x)?

A

Even

34
Q

What type of function is sec(x) ?

A

Even

35
Q

What is csc(x)?

A

1/sin(x) - reciprocal of sin(x)

36
Q

What is sec(x)?

A

1/cos(x) - reciprocal of cos(x)

37
Q

What is cot(x)?

A

1/tan(x) - reciprocal of tan(x)

38
Q

How do you get to the next term in geometric sequences?

A

You multiply by the common ratio (r)

39
Q

How do you find the common ratio in geometric sequences?

A

By dividing one term by the previous term

ACT Prep (2 decks)

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