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96 Cards in this Set
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What are the first 10 prime numbers?

2, 3, 5, 7, 11, 13, 17, 19, 23, 29


Adding Fractions:
5/6 + 2/3 
Find the LCM:
5/6 + 2/3 LCM of 6 and 3 is 6 5/6 * 1/1 + 2/3 * 2/2 equals: 5/6 + 4/6 = 9/6 or 3/2 

Subtracting Fractions:
3/4  2/3 
Find the LCM:
3/4  2/3 LCM of 4 & 3 is 12 3/4 * 3/3  2/3 * 4/4 equals: 9/12  8/12 = 1/12 

Dividing Fractions:
2/5 / 7/8 
flip the fraction you're dividing by, then multiply:
2/5 / 7/8 = 2/5 * 8/7= 16/35 

Multiplying Fractions:
10/4 * 3/5 
Simply Multiply:
10/4 * 3/5 = 30/20 = 3/2 

How do you convert a mixed fraction into a pure fraction?
Ex: 3 2/7 
* integer by denominator & add product to numerator:
3 2/7 = 23/7 

How do you convert a fraction to a decimal?
Ex: 2/7 
Divide the top by the bottom:
2/7 = 7 divided by 2 = .28 

When can you add and subtract exponents?

When they share the same base and the same power:
3x to the 2nd & 2x to the 2nd = 5x to the 2 

When can you multiply and divide exponents and roots?

When they share a base:
x to the 2nd * x to the 3rd = x to the 5th x to the 2nd / x to the 3rd = x to the 1st 

How do you raise the power of an exponent?
Ex: (x to the a)to the b Ex: (x to the 2nd)to the 3rd 
(x to the a) to the b =
x to the ab (x to the 2nd) to the 3rd = x to the 6th 

What is the definition of a cube root?

a # divided by itself twice
EX: the cube root of 27 is 3 because 27 / 3 = 9 and 9 / 3 = 3 

What is the square root of 9?

The square root of 9 is 3


Acute Angle

An angle with less than 90 degrees


Right Angle

An angle measuring 90 degres


Obtuse Angle

An angle measuring more than 90 and less than 180 degrees


Complementary Angles

Angles whose sums measure 90 degrees


Supplementary Angles

Angles whose sums measure 180 degrees


Adjacent Angles

Angles who share a common side and a common vertex


Vertical Angles

Angles opposite each other when 2 straight lines intersect, forming 4 angles. They are always equal.


Perpendicular Lines

2 lines that meet to for right ngles.


Parallel Lines

Two or more lines that remain the same distance apart at all times.


Corresponding Angles

Identical angles


Polygon

Closed shape/figure in a plane with three or more sides


Regular Polygon

All sides have the same length and all angles have the same measure


Convex Polygon

All diagonals are within the figure


Concave Polygon

At least one diagonal is outside the figure


Diagonals of Polygons

Line segment connecting one vertex with another vertex. It isn't a side.


Scalene Triangle

A triangle with no equal sides


Right Triangle

A triangle with a right angle in its interior


Every triangle has 3 ____ and 3 _______

bases (bottom sides) and heights (altitudes), heights being the perpendicular distance from a vertext it its opposite side


Triangle Median

The line segment drawn from a vertext to the midpoint of the opposite side


Rule for angles that are opposite from equl sides

They are also equal


Rule for the location of large and small angles in any triangle

The longest side is always opposite from the largest angle. Same for the shortest.


Rule for the sum of the lengths of the sides of a triangle

The sum of the lengths of any 2 sides must be larger than the lengh of the 3rd side.


Exterior Angle

If 1 side of a triangle is extended, the exterior angle formed = the sum of the other 2 interior angles


Hypotenuse

The side opposite the right angle in a right triangle


Pythagorean Theorem for right triangles

the 3 lengths, a, b, and c will always be #'s such that:
a^2 + b^2 = c^2 

Isoceles Right Triangle

Has characteristics of both isoceles/right triangles: 2 equal sides, 2 equal angles, and one right angle


Rule for ratio of the sides of an isoceles right triangle

The sides are always:
__ x, x, and X/2 

Ratio of the sides of a 30, 60, 90 triangle

__
X, 2x, x/3 Side opposite 30 is x, side opposite 60 is x/3, side opposite 90 is 2x 

Quadrilateral

Polygon with 4 sides.
Sum of angles: 360 

Parallelogram

Opp. sides equal/parallel
Angles equal Consecutive angles supplem. Diagonals not always equal 

Rhombus

Parallelogram w/4 equal sides
Diagonals not always equal 

Trapezoid

1 pair of parallel sides


Quadrilateral

Polygon with 4 sides.
Sum of angles: 360 

Formula for Interior Angles of a polygon

(n2)180, n = the # of sides


Parallelogram

Opp. sides equal/parallel
Angles equal Consecutive angles supplem. Diagonals not always equal 

Rhombus

Parallelogram w/4 equal sides
Diagonals not always equal 

Trapezoid

1 pair of parallel sides


Formula for Interior Angles of a polygon

(n2)180, n = the # of sides


Quadrilateral

Polygon with 4 sides.
Sum of angles: 360 

Parallelogram

Opp. sides equal/parallel
Angles equal Consecutive angles supplem. Diagonals not always equal 

Rhombus

Parallelogram w/4 equal sides
Diagonals not always equal 

Trapezoid

1 pair of parallel sides


Formula for Interior Angles of a polygon

(n2)180, n = the # of sides


Quadrilateral

Polygon w/4 sides
Sum of angles: 360 degrees 

Parallelogram

Opp. sides are equal/parallel
Angles equal Consec. angles supplementary Diagonals not always equal 

Rhombus

Parallelogram with 4 equal sides
Diagonals not always equal 

Trapezoid

1 pair of parallel sides


Formula for interior angles of a polygon

(n2)180
n = the number of sides 

Formula for the perimeter of a polygon

The sum of the sides


Formula for the area of a triangle

A= 1/2bh


Formula for the area of a square/rectangle

A= lw


Formula for the area of a parallelogram

A= bh


Formula for the area of a trapezoid

A= 1/2(b1 + b2)h


Diameter

Line containing the center of a circle with end points on the circle. All d's are equal length and equal 2(r)


Chord

Line segment whose endpoints lie on the circle


Arc

distance between any 2 points on the rim of the circle


Formula for circumference of a circle

C = 2(pi)(r), pi = 3.14


Formula for area of a circle

A = (pi)r^2


Central Angle

Angle formed by any 2 radii in a circle
c.a. = measure of intercepted arc 

Inscribed Angle

the angle formed by any 2 chords that meet on the circle
i.a. = 1/2 measure of intercepted arc 

Formula for Calculating Interest

principal * rate * time = Interest


How do you change a fraction to a percent?
Ex: 2/5 
1. change to a decimal
2. Change the decimal to a percent Ex: 2/5 = .4 = 40% 

How do you change a percent to a fraction?
Ex: 60% 
1. Drop the %
2. Write over 100 3. Reduce if necessary Ex: 60% = 60/100 = 3/5 

How do you determine the percent of a number?
Ex: 20% of 80 
Change % to a fraction or decimal and multiply
20/100 * 80 = 1600/100 or 16 

18 is what percent of 90?

18 = x(90)
18/90 = x 1/5 = x 20% = x 

10 is 50% of what number?

10 = .50(x)
10/.50 = x 20 = x 

Formula for finding Percent Increase/Decrease
Ex: % decrease of a $500 item on sale for $400? 
change/starting point = % change
100/500 = 1/5 = 20% 

Inscribed angles

angles formed by 2 chords of a circle that meet on the circle
They equal 1/2 measure of intercepted arc 

Concentric Circles

Circles with the same center


Tangent
2 Tangents drawn from the same point on a circle are... 
A line touching a circle at only 1 point
= in length and perpendic. to a radius meeting at that point 

Congruent geometric figures

Identical in size and shape


Similar geometric shapes

Have the same shape but aren't identical in size


Volume of a solid figure

The # of cubic units of space the figure contains. AKA "cubic units".


Formula for finding the area of a solid figure

A = b * h


Formula for the volume of a cube

V = s * s * s = s^3


Formula for the volume of a rectangular solid

V = (lw)(h) = lwh


Formula for the volume of a right circular cylinder (circular bases)

V = (PIr^2)h = PIr^2h


Raising a fraction b/t 0 and 1 results in a...
(1/2)^2 = 
Number smaller than 1:
(1/2)^2 = 1/4 

Factor
Factors of 12: 
A number that can be divided by another number without leaving a remainder:
2,3,3,4,6, 12 

Shortcut for comparing
3/7 and 7/14 
Multiply diagonally up from each denominator:
14 * 3 and 7 * 7 

Permutation

Arrangement of things in a definite order:
4 factorial: 4 * 3 * 2 * 1 

Probability

Equal to the outcome you're looking for divided by the total outcomes


Reciprocal
Reciprocal of 1/2 
The inverse of something:
2/1 

Diameter

A straight line segment passing through the center of the circle. It is 2 times the length of the radius
