Algebra Flashcards

1
Q

Exponential growth and decay functions formula

A

Final amount (y) initial amount (a)
Rate of decay: (r) in decimal form
Time: (t)
Y = a(1-r)^t

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2
Q

Percentage to decimal

A

Divide percentage by 100

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3
Q

Vertext

A

Middle and down

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4
Q

Order of operations

A
  1. Parenthesis
  2. Exponents
  3. Multiplication and division
  4. Addition and subtraction
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5
Q

Always put x on the..

A

Right

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6
Q

Distance between measurements

A

Subtract them together then add lines on the sides of the answer if it’s negative (absolute values) in order to make it postive

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7
Q

Sgement addition postulate

A

Small length + small length = big length

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8
Q

You cannot determine the length of lines that are

A

Sideways

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9
Q

Pythagorean thereom

A

Legs^2 + legs^2 = hypotenuse^2

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10
Q

Distance formula

A

D^2 = (|x1 - x2|)^2 + (|y1 -y2|)^2
Square root answer

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11
Q

Square root

A

Divide number by 2 or other numbers and see what you divided number with and answer and that will be a multiple of the number that is being square rooted
Pairs go outside of square root

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12
Q

Midpoint formula

A

M = (x1+x2/2, y1+y2/2)
Solve x and y separately then divide the numbers for each x and y and two numbers should be the answer

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13
Q

Bisect

A

Dividing something into two equal parts

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14
Q

Endpoint

A

Make x and y eq. Of midpoint each = to the midpoint

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15
Q

Angle bisector

A

Splits angle into 2 equal parts that are congruent

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16
Q

Linear pair

A

2 supplementary angles that have a common side

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17
Q

Angle addition postulate

A

2 small parts add up to one big part

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18
Q

Congruent

A

The exact same measurements

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19
Q

Conditional statements

A

A statement that has a hypothesis and a conclusion (if - then) p then q

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20
Q

Negation

A

Opposite of original statement NOT

21
Q

Converse

A

Flip the converse ( hypothesis and conclusion)

22
Q

Inverse

A

Negate original statement ADD NOT TO P AND Q

23
Q

Contrapositive

A

Negate and flip hypothesis and conclusion
IF NOT Q THEN NOT P

24
Q

Plane intersection

A

If 2 planes intersect, then their intersection is a line

25
Q

Reflexive property

A

Anything is equal to itself

26
Q

Symmetric property

A

If a=b then b=a

27
Q

Transitive property

A

A = C

28
Q

Property of equality

A

Substraction
Addition
Division

29
Q

Midpoint

A

A point in the middle that splits a segment into two congruent parts

30
Q

Corresponding

A

Same position, different location

31
Q

Consecutive

A

Next to

32
Q

Vertical angles congruence thereom

A

Vertical angles = 180

33
Q

Skew

A

Not parallel nor perpendicular

34
Q

Consecutive thereom

A

= 180

35
Q

If thereom converses true then

A

Lines are parallel

36
Q

Slope formula

A

M= rise/run
M= y2-y1/x2-x1

37
Q

Parallel lines

A

Same slope

38
Q

Perpendicular

A

Negative reciprocal ( multiply slopes and if they don’t equal -1 then not negative reciprocal not perpendicular slopes or lines

39
Q

Partitioning segments

A

Look at notes for this part

40
Q

Triangle’s sum thereom

A

Interior angles = 180

41
Q

Exterior angles thereom

A

Angles that are on the same side = exterior angle
Angle + angle = exterior angle
Solve for x

42
Q

THINK ABOUT THIS ON TEST

A

CPCTC

43
Q

Base angles thereom

A

If two sides of a triangle are congruent to each other then the base angles are congruent to each other

44
Q

X=?

A

1.Make corresponding sides and angles equal to each other and solve for x
2. Get all interior angles and make it equal to 180 and solve for x

45
Q

HL

A

Right triangle only
One leg has a mark and the long side has mark

46
Q

SSA ON RIGHT TRIANGLE=

A

HL

47
Q

CPCTC

A

Corresponding parts of congruent triangle’s are congruent SAME SPOT

48
Q
A