Studied by 3 people

5.0(1)

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Hint

1

the product of any two numbers is...

the product of their GCF and LCM

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2

squares are...

nonnegative

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3

quotient x divisor + remainder = ...

dividend

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4

(a+b)^n does not equal...

a^n+b^n

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5

a^n has...

n factors

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6

(a+b)² = ...

a²+b²+2ab

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7

ab² = ...

a²b²

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8

(1/a)² = ...

1/a²

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9

(a/b)² = ...

a²/b²

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10

(-a)² is always ...

nonnegative

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11

-a² is always ...

nonpositive

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12

any number raised to the exponent of 1 equals ...

the original number

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13

in general, (-a)^3 = ...

-a^3

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14

when it is easier to count what you don't want, it is called ...

complementary counting

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15

(a^m)^n = ...

a^mn

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16

if a does not equal 0, a^0 = ...

a^0 = 1

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17

a^-n = ...

1/a^n

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18

to find the number of factors from prime factorization ...

add one to each exponent, then multiply.

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19

if sqrt(a) > sqrt(b), then ...

a > b

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20

a denominator with a radical is ...

NOT accepted

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21

sqrt(a) x sqrt(b) =

sqrt(ab)

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22

sqrt(a) / sqrt(b)

sqrt(a/b)

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23

distance = ...

rate x time

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24

in sets, set R is ...

real numbers

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25

in sets, set Z is ...

integers

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26

in sets, set Q is ...

rational numbers

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27

in sets, set N is ...

natural numbers

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28

sum of natural numbers from 1 to n is ...

(n(n+1))/2

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29

y = k/x

inverse variation

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30

y = kx

direct variation

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31

when |x| < y, the solution is :

-y<x<y

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32

if a linear equation is in standard form, the slope is ...

-A/B

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33

switch the inequality sign when ...

multiplying by negatives

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34

absolute values are always ...

positive or 0

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35

(y+x)(y-x) = ...

y²-x²

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36

in Ax+By=C, A>...

0

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37

when multiplying two integers and one is even, ...

halve the even number and double the other number

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38

when multiplying a number by any power of 2, ...

double the other number for each power of 2

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39

when multiplying by 9, ...

round up the 9 to 10, solve, then subtract the original number

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40

when multiplying a two digit number by 11, ...

add the two digits together and place their sum in the middle

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41

any point (x,y) reflected over the x-axis appears as ...

(x,-y)

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42

any point (x,y) reflected over y=x appears as ...

(y,x)

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43

any point (x,y) when reflected over the y-axis appears as...

(-x,y)

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44

(x,y) rotated 90 degrees (-270 degrees) is ...

(-y,x)

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45

(x,y) rotated 180 degrees is ...

(-x,-y)

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46

(x,y) rotated 270 degrees (-90 degrees) is ...

(y,-x)

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47

expected value is ...

the probability x the number of repetitions

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48

if there are m ways to do one thing and n ways to do another ...

there are mn ways of doing both.

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49

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

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50

if the order does not matter, it is a ...

combination

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51

if the order does matter, it is a ...

permutation

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52

if p, then q. the converse is ...

if q, then p

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53

if p, then q. the inverse is ...

if not p, then not q

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54

if p, then q. the contrapositive is ...

if not q, then not p

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55

if the original statement is true, the contrapositive is always ...

true

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56

in networks, the sum of the degrees of all vertices is equal to...

twice the number of edges, making it even

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57

a graph with a Euler trail must have either ...

0 or 2 vertices of odd degree

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58

the order of a graph is ...

the number of vertices

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59

the size of a graph is ...

the number of edges

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