Pre Cal

Front 1

Identify if Consistent Independent(Finite),Consistent Dependent(Infinite),or Inconsistent

Back 1

Finite

Front 2

Equation of a circle

Back 2

Front 3

Find the standard form

Back 3

Front 4

Find the center and radius

Back 4

1. Combine the x's and y's

Front 5

Find the center and radius

Back 5

Front 6

Identify the opening of each parabola

Back 6

Front 7

Find the vertex

Back 7

1. Find x:(-b/2a)

2. Substitute the value of x to the equation to find y.

*use the pattern 1,3,5,7 to graph.

If a is -,the graph is downward

Front 8

Finding the vertex,co-v,and foci

and c of an ellipse

Back 8

Front 9

Ellipse w/ foci parallel to either of the axes. how to find its vertices,cv,and foci

Back 9

Front 10

Find the a,b,c

Back 10

Hyperbola *c=square root of a+b

Front 11

Identify what conic and find its a,b,c

Back 11

Hyperbola

Front 12

Find the vertices & asymptotes

Back 12

Front 13

Find its foci

Back 13

Front 14

Back 14

Front 15

Identify the orientation,center and vertices

Back 15

v: (h,a+-k)

Front 16

Find a,b and c

Back 16

c= 3 square root of 3

Front 17

Find the a,b,c,EPCA,EPF & EA(asymptote)

Back 17

EPCA(co-vertices): (h+-b,k)

EPF(foci): (h,k+-c)

EA(asymptotes)

Front 18

In ___,a is always > b. In___,a is wherever the first term is.

Back 18

ellipse

hyperbola

Front 19

Back 19

Front 20

If an equation is an ELLIPSE/PARABOLA & equal to 0,it is___

Back 20

Line

Front 21

If an equation is a CIRCLE & equal to 0,it is____.

Back 21

Point

Front 22

Back 22

Non degenerate conics

Front 23

If an equation is a HYPERBOLA & equal to 0,it is____

Back 23

Two intersecting lines

Front 24

Graph

Back 24

v: (+-a,0)

EPCA: (0,+-b)

EPA: (+-c,0)

Front 25

Solve and identify what conic and its orientation

Back 25

Front 26

Solve and identify what conic

Back 26

Hyperbola=0 (2 intersecting lines)

Front 27

Identify if Consistent Independent(Finite),Consistent Dependent(Infinite),or Inconsistent

Back 27

Inconsistent

Front 28

Identify if Consistent Independent(Finite),Consistent Dependent(Infinite),or Inconsistent

Back 28

Finite

Front 29

Identify if Consistent Independent(Finite),Consistent Dependent(Infinite),or Inconsistent

Back 29

C. I. (Finite)

Front 30

Identify if Consistent Independent(Finite),Consistent Dependent(Infinite),or Inconsistent

Back 30

Inconsistent(no solution)

Front 31

Identify if Consistent Independent(Finite),Consistent Dependent(Infinite),or Inconsistent

Back 31

Finite

Front 32

Identify if Consistent Independent(Finite),Consistent Dependent(Infinite),or Inconsistent

Back 32

Infinite

Front 33

Types of Nonlinear Equations

Back 33

Consistent:(Dependent-w/ infinite solution, Independent-finite sol.)

Inconsistent(no solution)

Front 34

Find the value of x & y

Back 34

Front 35

Find the value of x & y

Back 35

Front 36

If there's no denominator and the value of a is = to the value of b

Back 36

Circle

Front 37

How to know if an equation is an ellipse and find its orientation?

Back 37

If A & B are both +. If A>B:vertical

If A<B:horizontal

Front 38

How to know if an equation is a hyperbola and how to find its orientation?

Back 38

If either A or B is -. If A is -(vertical)

If B is -(horizontal)

Front 39

How to know if an equation is a parabola and how to find its orientation?

Back 39

If either A or B is 0(none). If A=0:Horizontal, if B=0: Vertical

Or only 1 variable has exponent

Front 40

Identify which conic

Back 40

Ellipse

Front 41

Find the value of x & y

Back 41

Front 42

Identify which conic

Back 42

Circle

Front 43

Identify which conic

Back 43

Circle

Front 44

Identify which conic

Back 44

Parabola

Front 45

Identify which conic

Back 45

Hyperbola

Front 46

Identify which conic

Back 46

Ellipse

Front 47

Identify what conic

Back 47

Ellipse

Front 48

Identify which conic

Back 48

Parabola

Front 49

Identify which conic

Back 49

Hyperbola

Front 50

Back 50

Front 51

The lines to which the graph of the hyperbola approach.

Back 51

Asymptotes

Front 52

Identify what conic

Back 52

Parabola

Front 53

Identify what conic

Back 53

Circle

Ellipse

Front 54

Identify what conic

Back 54

Hyperbola

Ellipse

Front 55

State also its opening

Back 55

Front 56

State the opening of the parabola

Back 56

Upward

*square is on the x, p is +

(If p is -,its downward)

Front 57

State the opening of the parabola

Back 57

Right

*square is on the y, p is +

(Left if p is -)

Front 58

Arithmetic sequence formula

Back 58

Front 59

Geometric sequence formula

Back 59

Front 60

Arithmetic series formula

Back 60

Front 61

Geometric series formula

Back 61

Front 62

Find its sigma notation

Back 62

Front 63

Find its sigma notation

Back 63

Front 64

Find its sigma notation

Back 64

Front 65

Find its sigma notation

Back 65

Use the formula a sub 1 + (n-1)d

Front 66

State the opening,the p,and vertex

Back 66

Front 67

3.5,7,__,17.5,__

Back 67

10.5

28

Front 68

Find the sum of the 1st 30 terms of the arithmetic seq. -15,-13,-11,....

Back 68

Front 69

What is the sum of all + integers < 300 that are multiples of 7?

Back 69

Front 70

Mathematical induction

Back 70

4. Answer in #2 + n in #3= Ans. in #3

5. Conclusion

Front 71

Steps in expanding (x+y) ^4

Back 71

1. Use the values in the Pascal Triangle(+,-,+,- pattern if the sign is-)

2. Multiply the 1st 4 terms with x, raising from 4-1.

3. Copy y,starting from 2nd to the last term,raising from 1-4

4. Distribute the exponents to their coefficients & variables.

Front 72

Label the Binomial Theorem

Back 72

(nCr) a^n-r b^r

n=exponent

r=what term is finding deducted by 1

Front 73

Find the 3rd term

Back 73

Front 74

Simplify

Back 74

Front 75

How to identify if an equation is a point,intersecting lines or empty set?

Back 75