Midterm Study Guide Flashcards

1
Q

Natural/counting numbers

A

All positive integers {1, 2, 3, 4, 5, 6…}

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2
Q

Whole numbers

A

Including 0 with all positive integers: {0, 1, 2, 3…}

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3
Q

Rational numbers

A

A number expressed as the quotient of two integers (p/q)

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4
Q

Irrational numbers

A

Decimals that don’t have a pattern (like pi)

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5
Q

Real numbers

A

Rational+irrational numbers (not complex)

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6
Q

Percent increase formula

A

Amount of increase/original amount

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7
Q

Percent decrease formula

A

Amount of decrease/original amount

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8
Q

|ax+b|= k

A

ax+b=k or ax+b=-k

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9
Q

“Or”=

A

Union

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10
Q

“And”=

A

Intersection

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11
Q

|ax+b|>k

A

ax+b>k or ax+b<-k

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12
Q

|ax+b|< k

A

-k<ax+b<k

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13
Q

Midpoint formula

A

M = ((x1+x2)/2, (y1+y2)/2)

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14
Q

Slope formula

A

m=rise/run= (y2-y1)/(x2-x1)

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15
Q

Horizontal line equation and slope

A

y=b, m=0

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16
Q

Vertical line equation and slope

A

x=a, undefined slope

17
Q

Slope of parallel lines

A

Same slope

18
Q

Slope of perpendicular lines

A

-1/m

19
Q

Point-slope form

A

y-y1 = m(x-x1)

20
Q

Relations

A

Any set of ordered pairs

21
Q

Functions

A

For each distinct x-value, there is exactly one y-value

22
Q

Domain

A

x-values

23
Q

Range

A

y-values

24
Q

Vertical line test

A

If every vertical line intersects the graph of a relation in no more than one point, then the relation is a function

25
Q

Function notation

A

y=f(x)

26
Q

Linear functions

A

f(x) = ax+b

27
Q

Polynomials

A

A polynomial is a term or a finite sum of terms of the form ax^n

28
Q

Numerical coefficient

A

In a term ax^n, a is the coefficient

29
Q

Degree of the term

A

In ax^n, n is the degree of the term

30
Q

Polynomials are written in…

A

Descending powers. The greatest-degree term is the leading term and its coefficient is the leading coefficient. The degree of a polynomial is the greatest degree of all its terms (if there is only one variable)