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79 Cards in this Set
- Front
- Back
Factor of 10 |
1,2,5,10 |
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Composite number |
Integer greater than 1 that isn't a prime number |
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A^0 |
1 if A is not 0, if it is 0 then it is undefined |
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A^-1 |
1/A |
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√a√b |
√ab |
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√a/√b |
√(a/b) |
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Number of roots for odd root |
1 |
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Number of roots for even root |
2 |
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Convert .612 to a fraction |
612/1000 |
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Irrational numbers |
Decimals that don't terminate our repeat |
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B^2<B if... |
0<B<1 |
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Calculating percent change |
Change/base |
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Enrollment decreased by 8% then increased by 6% |
(1.06)(.92)E=.9752 |
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(a+b)^2 |
a^2+2ab+b^2 |
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(a-b)^3 |
a^3-3a^2b+3ab^2-b^3 |
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a^2-b^2 |
(a+b)(a-b) |
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x^-a |
1/x^a |
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(x^a)(x^b) |
x^(a+b) |
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(x^a)/(x^b) |
x^(a-b)=1/x^(b-a) |
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x^0 |
1 |
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(x^a)(y^a) |
(xy)^a |
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(x/y)^a |
x^a/y^a |
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(x^a)^b |
x^(ab) |
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Identity |
A linear equation that is true for all values of x |
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The standard quadratic equation |
ax^2+bx+c=0 |
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Quadratic formula |
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Direction of an inequality is reversed when... |
Both sides are multiplied or divided by a negative constant |
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Simple Interest |
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Compound Interest |
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Find distance between two points on xy plane |
Create a right triangle and use the Pythagorean theorem |
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2 lines are perpendicular if... |
Their slopes are negative reciprocals |
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The reflection of points (a,b) |
(b,a) |
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Prime number |
Integer that is only divisible by 1 and itself |
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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 |
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Quadratic equation |
ax^2+bx+c=0 is the graph of a parabola. Can find the x intercepts with the quadratic equation |
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Equation for a circle |
(x-a)^2+(y-b)^2=r^2 radius=r center is at (a,b) |
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Equation of a circle with center at (6,-5) and radius of 3 |
(x-6)^2+(y+5)^2=9 |
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How to find the 2 points where a parabola and line intersect |
Set them equal to each other and use the quadratic formula |
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Graph of y=square root of x |
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Formula for shifting parabola up/down and right/left |
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How to vertically stretch or shrink a parabola |
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(x^2-16)/(x-4) |
(x+4) |
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(s^7)(t^7) |
(st)^7 |
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Formula for the area of a triangle |
A=.5 (base)height |
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Vertex form for a parabola |
y=a(x-h)^2+k where h,k is the vertex |
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Formula for h (parabola vertex) |
h=-b/2a |
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Formula for Area of a circle |
A=(pie)r^2 |
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Congruent Line Segments |
Line Segments that have equal lengths |
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Polygon |
Closed figure formed by 3 or more sides |
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Number of triangles in a polygon |
N-2 (N is the number of sides in the polygon) |
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Sum of angles on N sided polygon |
(N-2)180 |
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Regular polygon |
All sides and interior angles are congruent |
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Isosceles triangle |
Two sides are equal in length |
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Special 45° right triangle |
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Special 30-60-90 right triangle |
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How to tell if two triangles are congruent |
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Similar triangles |
Are a different size but have the same angles |
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Parallelogram |
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Trapezoid |
Quadrilateral where 2 opposite sides are parallel |
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Area of any type of parallelogram |
A=bh |
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Area of a trapezoid |
A=.5 (b1+b2)h where b1 and b2 are the parallel sides |
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Chord |
Line segment joining 2 points on a circle |
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Circumference of a circle |
C=2 (pie)r |
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Arc of a circle |
Contains 2 points on a circle and all of the points between them |
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Measure of an arc |
The measures of its central angle |
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Find the length of an arc |
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Right triangles inscribed inside circles |
If a triangles side is the diameter of the circle then it is a right triangle and vice versa |
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Concentric circles |
2 or more circles with the same center |
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Volume rectangular solid |
V=length (width)height |
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Surface area rectangular solid |
A=2(lw+lh+wh) |
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Right circular cylinder |
Circular cylinder whose axis is perpendicular to its bases |
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Volume right circular cylinder |
V=(pie)r^2(height) |
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Surface area of a right circular cylinder |
A=2(pie(r^2))+2pie(r)h |
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Relative frequency |
The associated frequency divided by the total number of data |
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Univariate |
Data observed for one variable |
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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 |
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Interquartile range |
Q3-Q1 |
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How to find standard deviation |
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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 |