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79 Cards in this Set

  • Front
  • Back

Factor of 10

1,2,5,10

Composite number

Integer greater than 1 that isn't a prime number

A^0

1 if A is not 0, if it is 0 then it is undefined

A^-1

1/A

√a√b

√ab

√a/√b

√(a/b)

Number of roots for odd root

1

Number of roots for even root

2

Convert .612 to a fraction

612/1000

Irrational numbers

Decimals that don't terminate our repeat

B^2<B if...

0<B<1

Calculating percent change

Change/base

Enrollment decreased by 8% then increased by 6%

(1.06)(.92)E=.9752

(a+b)^2

a^2+2ab+b^2

(a-b)^3

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

a^2-b^2

(a+b)(a-b)

x^-a

1/x^a

(x^a)(x^b)

x^(a+b)

(x^a)/(x^b)

x^(a-b)=1/x^(b-a)

x^0

1

(x^a)(y^a)

(xy)^a

(x/y)^a

x^a/y^a

(x^a)^b

x^(ab)

Identity

A linear equation that is true for all values of x

The standard quadratic equation

ax^2+bx+c=0

Quadratic formula

Direction of an inequality is reversed when...

Both sides are multiplied or divided by a negative constant

Simple Interest

Compound Interest

Find distance between two points on xy plane

Create a right triangle and use the Pythagorean theorem

2 lines are perpendicular if...

Their slopes are negative reciprocals

The reflection of points (a,b)

(b,a)

Prime number

Integer that is only divisible by 1 and itself

Y=ax^2+bx+c when a is negative or positive

If a is positive the parabola opens upward, if a is negative it opens downward

Quadratic equation

ax^2+bx+c=0 is the graph of a parabola. Can find the x intercepts with the quadratic equation

Equation for a circle

(x-a)^2+(y-b)^2=r^2 radius=r center is at (a,b)

Equation of a circle with center at (6,-5) and radius of 3

(x-6)^2+(y+5)^2=9

How to find the 2 points where a parabola and line intersect

Set them equal to each other and use the quadratic formula

Graph of y=square root of x

Formula for shifting parabola up/down and right/left

How to vertically stretch or shrink a parabola

(x^2-16)/(x-4)

(x+4)

(s^7)(t^7)

(st)^7

Formula for the area of a triangle

A=.5 (base)height

Vertex form for a parabola

y=a(x-h)^2+k where h,k is the vertex

Formula for h (parabola vertex)

h=-b/2a

Formula for Area of a circle

A=(pie)r^2

Congruent Line Segments

Line Segments that have equal lengths

Polygon

Closed figure formed by 3 or more sides

Number of triangles in a polygon

N-2 (N is the number of sides in the polygon)

Sum of angles on N sided polygon

(N-2)180

Regular polygon

All sides and interior angles are congruent

Isosceles triangle

Two sides are equal in length

Special 45° right triangle

Special 30-60-90 right triangle

How to tell if two triangles are congruent

Similar triangles

Are a different size but have the same angles

Parallelogram

Trapezoid

Quadrilateral where 2 opposite sides are parallel

Area of any type of parallelogram

A=bh

Area of a trapezoid

A=.5 (b1+b2)h where b1 and b2 are the parallel sides

Chord

Line segment joining 2 points on a circle

Circumference of a circle

C=2 (pie)r

Arc of a circle

Contains 2 points on a circle and all of the points between them

Measure of an arc

The measures of its central angle

Find the length of an arc

Right triangles inscribed inside circles

If a triangles side is the diameter of the circle then it is a right triangle and vice versa

Concentric circles

2 or more circles with the same center

Volume rectangular solid

V=length (width)height

Surface area rectangular solid

A=2(lw+lh+wh)

Right circular cylinder

Circular cylinder whose axis is perpendicular to its bases

Volume right circular cylinder

V=(pie)r^2(height)

Surface area of a right circular cylinder

A=2(pie(r^2))+2pie(r)h

Relative frequency

The associated frequency divided by the total number of data

Univariate

Data observed for one variable

How to find the numbers of quartiles 1 and 3

Find the median between the actual median and the least number and then the greatest number

Interquartile range

Q3-Q1

How to find standard deviation

Sample standard deviation

Divides the sum of squared differences by n-1 instead of just n. Used for a sample of data taken from a larger population of data