Math Strategies
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59 Terms
1
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the product of any two numbers is...
the product of their GCF and LCM
2
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squares are...
nonnegative
3
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quotient x divisor + remainder = ...
dividend
4
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(a+b)^n does not equal...
a^n+b^n
5
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a^n has...
n factors
6
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(a+b)² = ...
a²+b²+2ab
7
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ab² = ...
a²b²
8
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(1/a)² = ...
1/a²
9
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(a/b)² = ...
a²/b²
10
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(-a)² is always ...
nonnegative
11
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-a² is always ...
nonpositive
12
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any number raised to the exponent of 1 equals ...
the original number
13
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in general, (-a)^3 = ...
-a^3
14
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when it is easier to count what you don't want, it is called ...
complementary counting
15
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(a^m)^n = ...
a^mn
16
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if a does not equal 0, a^0 = ...
a^0 = 1
17
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a^-n = ...
1/a^n
18
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to find the number of factors from prime factorization ...
add one to each exponent, then multiply.
19
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if sqrt(a) > sqrt(b), then ...
a > b
20
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a denominator with a radical is ...
NOT accepted
21
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sqrt(a) x sqrt(b) =
sqrt(ab)
22
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sqrt(a) / sqrt(b)
sqrt(a/b)
23
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distance = ...
rate x time
24
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in sets, set R is ...
real numbers
25
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in sets, set Z is ...
integers
26
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in sets, set Q is ...
rational numbers
27
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in sets, set N is ...
natural numbers
28
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sum of natural numbers from 1 to n is ...
(n(n+1))/2
29
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y = k/x
inverse variation
30
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y = kx
direct variation
31
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when |x| < y, the solution is :
-y
32
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if a linear equation is in standard form, the slope is ...
-A/B
33
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switch the inequality sign when ...
multiplying by negatives
34
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absolute values are always ...
positive or 0
35
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(y+x)(y-x) = ...
y²-x²
36
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in Ax+By=C, A>...
0
37
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when multiplying two integers and one is even, ...
halve the even number and double the other number
38
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when multiplying a number by any power of 2, ...
double the other number for each power of 2
39
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when multiplying by 9, ...
round up the 9 to 10, solve, then subtract the original number
40
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when multiplying a two digit number by 11, ...
add the two digits together and place their sum in the middle
41
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any point (x,y) reflected over the x-axis appears as ...
(x,-y)
42
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any point (x,y) reflected over y=x appears as ...
(y,x)
43
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any point (x,y) when reflected over the y-axis appears as...
(-x,y)
44
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(x,y) rotated 90 degrees (-270 degrees) is ...
(-y,x)
45
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(x,y) rotated 180 degrees is ...
(-x,-y)
46
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(x,y) rotated 270 degrees (-90 degrees) is ...
(y,-x)
47
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expected value is ...
the probability x the number of repetitions
48
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if there are m ways to do one thing and n ways to do another ...
there are mn ways of doing both.
49
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if there are m ways to do one thing or n ways to do another ...
there are m+n ways of doing one or the other
50
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if the order does not matter, it is a ...
combination
51
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if the order does matter, it is a ...
permutation
52
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if p, then q. the converse is ...
if q, then p
53
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if p, then q. the inverse is ...
if not p, then not q
54
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if p, then q. the contrapositive is ...
if not q, then not p
55
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if the original statement is true, the contrapositive is always ...
true
56
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in networks, the sum of the degrees of all vertices is equal to...
twice the number of edges, making it even
57
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a graph with a Euler trail must have either ...
0 or 2 vertices of odd degree
58
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the order of a graph is ...
the number of vertices
59
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the size of a graph is ...
the number of edges