Formulas Flashcards by Ashley Dyriel Buenafe | Brainscape

Q

Percent to Fraction

Ex: What is 15% in Fraction?

A

x% = x/100

Ans: 15/100 = 3/20

How well did you know this?

1

Not at all

2

3

4

5

Perfectly

Q

Percent of a Percent

A

x * y% * z%

How well did you know this?

1

Not at all

2

3

4

5

Perfectly

Q

Discount Percentage

A

1-(Discount Price/Original Price)

How well did you know this?

1

Not at all

2

3

4

5

Perfectly

Q

x is y% of what no.

A

100(x/y%)

How well did you know this?

1

Not at all

2

3

4

5

Perfectly

Q

Increasing by x%

A

(1+x%)

How well did you know this?

1

Not at all

2

3

4

5

Perfectly

Q

Decreasing by x%

A

(1-x%)

How well did you know this?

1

Not at all

2

3

4

5

Perfectly

Q

Sum of Consecutive Integers

A

x+(x+1)+(x+2)+(x+3)…= y

How well did you know this?

1

Not at all

2

3

4

5

Perfectly

Q

Sum of Consecutive Even/Odd Numbers

A

x+(x+2)+(x+4)+(x+6)… = y

How well did you know this?

1

Not at all

2

3

4

5

Perfectly

Q

Speed

A

s = d/t

How well did you know this?

1

Not at all

2

3

4

5

Perfectly

Q

Distance

A

d = (s)(t)

How well did you know this?

1

Not at all

2

3

4

5

Perfectly

Q

Distance given two speeds and total time

A

d = t(s1)(s2)/s1+s2

How well did you know this?

1

Not at all

2

3

4

5

Perfectly

Q

Speed of two objects moving in the same direction

A

s1- s2 = d/t

How well did you know this?

1

Not at all

2

3

4

5

Perfectly

Q

Speed of two objects moving towards each other

A

s1+ s2 = d/t

How well did you know this?

1

Not at all

2

3

4

5

Perfectly

Q

Work problems formula

A

t(1/x + 1/y) = 1

How well did you know this?

1

Not at all

2

3

4

5

Perfectly

Q

Work Problems: Find time working together

A

xy/x+y

How well did you know this?

1

Not at all

2

3

4

5

Perfectly

Q

Solution Problems

A

ax+by=(a+b)z

Q

Angle of a Clock

A

θ = |30H - (11/2)M

Q

Find x:z given x:y & y:z

A

x/y * y/z = x/z

Q

Proportion Problems

Ex: If 5 boxes weigh 10 kg, how much do 4 boxes weigh?

A

x/y = w/z

Ans: 8kg

Q

Direct variation

A

x=ky

Q

Indirect variation

A

x=k/y

Q

Joint variation

A

x=kyz

Q

Combined variation

A

x=ky/z

Q

Arithmetic Sequence Formula

A

an = a1+(n-1)d

Q

Forming an Arithmetic Sequence

A

3rd term - 2nd term = 2nd term - 1st term

Q

Geometric Sequence

A

an = (a1)(r^n-1)

Q

Forming a Geometric Sequence

A

3rd term/2nd term = 2nd term/1st term

Q

Arithmetic Series

A

Sn = (n/2)(2a1+(n-1)d)

Q

Geometric Series

A

Sn = (a1(1-r^n))/1-r

Q

Expanding the Square of a Binomial

Ex: (a+b)^2

A

a^2+2ab+b^2

Q

Factoring Difference of Two Squares

Ex: a^2-b^2

A

(a+b)(a-b)

Q

Expanding Cube of a Binomial

Ex: (a+b)^3

A

a^3+3a^2b+3ab^2+b^3

Q

Factoring Sum/Difference of Two Cubes

Ex: x^3+y^3

A

(x+y)(x^2+xy+y^2)

Q

Reflections of a Point:

Original graph: (a,b)
x-axis:
y-axis:
y=x:

A

x-axis: (a,-b)
y-axis: (-a,b)
y=x: (b,a)

Q

Reflection of f(x) along the x-axis

A

-f(x)

Q

Reflection of f(x) along the y-axis

A

f(-x)

Q

Slope of a Perpendicular Line

A

-1/m

Q

Finding Slope (m) Given Two Points

A

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