Arithmetic, Algebra, and Graphs Flashcards

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1
Q

b^p x b^q = ?

A

b^p+q

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2
Q

b^p/b^q = ?

A

b^p-q

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3
Q

(b^p)^q = ?

A

b^p*q

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4
Q

b^0 = ?

A

1 (if b isnt 0)

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5
Q

b^-p = ?

A

1/b^p

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6
Q

(ab)^p = ?

A

a^p b^p

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7
Q

(a/b)^p

A

a^p/b^p

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8
Q

When multiplying & dividing number, square rooting you want to be quick and efficient so to you want to round numbers (approximate) to nearest number that both are _____________ of

A

Mulitples

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9
Q

√ab = ?

A

√a * √b

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10
Q

√a/b = ?

A

√a / √b

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11
Q

q^√a^p = ?

A

a^p/q

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12
Q

A fraction indicates ___________

A

Division

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13
Q

a/b x c/d =?

A

ac/bd

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14
Q

How do you divide fraction?

A

Turn the second fraction into its reciporcal & then multiply the two

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15
Q

When adding and subtracting fractions what is the best way to do so? (ex. a/b +(-) c/d)

A

ad+(-)bc/ bd (cross multiply & combine)

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16
Q

A ratio is another way of saying ________

A

Fraction

17
Q

The word percent means what?

A

Out of 100 (so its basically a fraction with the bottom being 100)

18
Q

What is the equation for calculating percentages?

A

x= y/100 * z (reads x is percentage of z)

19
Q

If both sides of an inequality are positive quantities, and you take the reciprocal of both sides then you must do what?

A

Flip the inequality

20
Q

The first coordinate of each point (the x coordinate) is called what? (ex. (1,0), the 1 is called what?

A

The Abscissa

21
Q

The second coordinate (the y coordinate) of each point is called what?

A

The ordinate

22
Q

What is the equation for a line that crosses the y & x axis?

A

y=mx+b

23
Q

What is the equation for a vertical line that only crosses the x axis?

A

x =a (a is the x intercept)

24
Q

The equation y=kx^2 describes a ____________

A

Parabola where its turning point (vertx) is at the origin

25
Q

The equation y=k(x-a)^2 means what?

A

Shift the parabola horizontally (by whatever value a is)

26
Q

The equation y=kx^2 + b means what?

A

Shifting the parabola vertically by whatever value b is

27
Q

The equation y=k(x-a)^2 +b means what?

A

First shift the parabola horizontally by whatever value a is then shift it vertically by whatever value b is

28
Q

The equation y=k/x represents what?

A

A hyperbola which is an inverse proportion where it approaches but never touches asymptotes

29
Q

The equation y = Ae^-kx represents what?

A

AN exponential decay curve