Study your flashcards anywhere!

Download the official Cram app for free >

  • Shuffle
    Toggle On
    Toggle Off
  • Alphabetize
    Toggle On
    Toggle Off
  • Front First
    Toggle On
    Toggle Off
  • Both Sides
    Toggle On
    Toggle Off
  • Read
    Toggle On
    Toggle Off
Reading...
Front

How to study your flashcards.

Right/Left arrow keys: Navigate between flashcards.right arrow keyleft arrow key

Up/Down arrow keys: Flip the card between the front and back.down keyup key

H key: Show hint (3rd side).h key

A key: Read text to speech.a key

image

Play button

image

Play button

image

Progress

1/95

Click to flip

95 Cards in this Set

  • Front
  • Back
  • 3rd side (hint)
A "whole" number that does not contain decimals, fractions, or radicals; can be positive or negative or zero; Examples: -500, 0, 1, 28
Integer
Greater than zero; Examples: 0.5, 25, 5/3
Positive
Less than zero; Examples: -72.3; -7/4; -2
Negative
An integer divisible by two; Examples: -40, 0, 2
Even
An interger not divisible by two;Examples: -41, 1, 3
Odd
wwhen another nummber divides into another number with nothing leftover; Examples: 10 is by number 2 but not by number 3
Divisible
the result of adding; Example: the number 7 in 3 + 4
Sum
the result of subtracting; Example: the number 5 in 7 - 2
Difference
the result of multiplying; Example: the number 35 in 7*5
Product
The result of dividing; Example:
The number 2 in 8/4
Quotient
A number that is only divisible by itself and 1; 1 is not this because 1 is itself; negative numbers and zero are not this. Examples: 2, 3, , 5, 7
Prime
In a row, usually ascending; Examples: 1, 2, 3, 4; -3, -2, -1, 0
Consecutive
0 - 9; the numbers on the phone pad; Examples: 1, 2, 3, 4, 5, 6, 7, 8, 9
Digits
Different; Examples: 2 and 3; 6.24 and 6.26; 4 and 9
Distinct
The "leftovers" when one number doesn't divide evenly into another number; Examples: the number 1 in 10/3
Remainder
a number that divides into another number; example the number is in 24/6
Divisor
negative x negative
positive
positive x positive
positive
negative x positive
negative
even x even
even
odd x odd
odd
even x odd
even
even + or - even
even
odd + or - odd
even
even + or - odd
odd
A positive integer that divides evenly into another positive integer.
Factor

The factors of 12 are 1 and 12, 2 and 6, and 3 and 4. There are FEW factors.

The largest factor of any number is always the number itself.
The product of some positive integer and any other positive integer.
Multiple

The multiples of 12 are 12, 24, 36, 48, 60. There are MANY multiples.

The smallest multiple of any number is always the number itself.
Rule: It's even (its last digit is even)
A number is divisible by 2
1,576
Rule: Its digits add up to a multiple of 3
A number is divisible by 3
8,532 8+5+3+2=18
Rule: Its last two digits are divisible by 4
A number is divisible by 4
121,532 32/4 = 8
Rule: Its last digit is 5 or 0
A number is divisible by 5
568,745 or 320
Rule: its last digit is even and its digits add up to a multiple of 3
A number is divisible by 6
55,740 even and 5+5+7+4+0=21
Rule: its last three digits are divisible by 8
A number is divisible by 8
345,862,120 120/8 = 15
Rule: Its digits add up to a multiple of 9
A number is divisible by 9
235,692 2+3+5+6+9+2 = 27
Rule: Its last digit is zero
A number is divisible by 10
11,130
Rule: Its digits add up to a multiple of 2 and its last two digits are divisible by 4
A number is divisible by 12
3,552 3+5+5+2=15 and 52/4=13
Rule: Its digits add up to a multiple of 3 and its last digit is 5 or 0
A number is divisible by 15
3,255 3+2+5+5 = 15
P E MD AS
P stands for "parentheses." Solve for parentheses first.
P E MD AS
E stands for "exponents." Solve for your exponents second.
P E MD AS
M stands for "multiplication" and D Stands for "division" You do all your multiplication and division together and in the same step, going from left to rights
P E MD AS
A stands for "addition" and S stands for "subtraction" You do all your addition and subtraction together in the same step, going from left to right.
part/whole
fraction
the top of the fraction
numerator
bottom of the fraction
denominator
a fraction flipped over (also called the inverse of a fraction)
reciprocal
the line between the numerator and denominator and it is equivalent to divided by
fraction bar
A decimal is just a
fraction 0.5 = 5/10
A fraction is just a
decimal 3/5 = .6
place the decimal over 1, move the decimal points the same number of places on the top and the bottom until you have whole numbers on both the top and the bottom and then reduce
to convert decimal to a fraction
divide the bottom into the top
to convert fraction into a decimal
1. Ignore the decimal points and simply multiply the numbers as if they were integers
2. Count the number of decimal places in each of the original decimals
3. Take your product from step 1 and move the decimal point the same number of spaces to the left
Multiplying Decimals
over one hundred--can be expressed as a fraction by simply putting it over 100 (and then reducing your resulting fraction, when necessary)
percent
part/whole = x/100 where x is your percent
to convert a fraction into a percent

3/5 = 60/100 = 60%
drop the percent sign and move the decimal point two places over to the left
to convert a percent to a decimal

25% = 0.25
mover your decimal two point places to the right and add a percent sign
to convert a decimal into a percent
/100
percent
x(times)
of
x,y, or z
what
= (equals)
is, are, was, were
(difference/original) x 100
percent increase/decrease
original is smaller number
percent increase or percent greater
original is the larger number
percent decrease or percent less
If you can figure out 10 % then you can easily figure out 5% by dividing your result by 2 or 30% by multiplying your result by 3, etc.
Approximating Percents
Percent: 25% or .25
What is the fraction?
Fraction: 1/4
What is the fraction?
Percent: 50% or .5
Fraction: 1/2
What is the fraction?
Percent: 75% or .75
Fraction: 3/4
What is the fraction?
Percent: 20% or .2
Fraction: 1/5
What is the fraction?
Percent: 40% or .4
Fraction: 2/5
What is the fraction?
Percent: 60% or .6
Fraction: 3/5
What is the fraction?
Percent: 80% or .8
Fraction: 4/5
What is the fraction?
Percent: 33 1/3% or .333
Fraction: 1/3
What is the fraction?
Percent: 66 2/3% or .666
Fraction: 2/3
What is the fraction?
Percent: 16 2/3% or .166
Fraction: 1/6
What is the fraction?
Percent: 12 1/2 % or .125
Fraction: 1/8
What is the fraction?
Percent: 11 1/9% or .111
Fraction: 1/9
What is the fraction?
Percent: 9 1/11 or .0909
Fraction: 1/11
What is the fraction?
Percent: 8 1/3 % or .083
Fraction: 1/12
What do you use to add or subtract fractions?
Bowtie:
1. Multiply diagonally up (opposing denominators and numberations
2. Bring up the sign (+ or -)
3. Add/subtract across the top
4 multiply across the bottom
What do you use to compare fractions?
Bowtie:
1. Multiply diagonally up (opposing denominators and numerators)
2. Compare the results
What is (difference/original) x 100
Percent change
What is (difference/smaller) x (x/100)
Percent increase/greater
what is (difference/larger) x (x/100)
Percent decrease/less
the smallest and the only even prime number
2
To break quant comp questions with pluggins, the Z in Zone F stands for?
Z=zero
To break quant comp questions with pluggins, the 0 in Zone F stands for?
o = one
To break quant comp questions with pluggins, the N in Zone F stands for?
N = negative
To break quant comp questions with pluggins, the e in Zone F stands for?
E= extremely large or small numbers
To break quant comp questions using pluggins, the F in ZONE F stands for?
F = Fractions
The five recycled relationships for anologies?
type of
used to
characteristic of
degree
without
Mixture Problems
How are mixture problems solved?
Mixture problems deal with the mixing of ingredients having different costs. Mixture problems are solved using the following formula: n x p = v
n = the number of units of the same kind, p = the price per unit, and v = the total value of all units
What is the procedure for factoring by finding the Greatest Common Factor (GCF) of a polynomial?
To factor a polynomial:
1. Find the greatest monomial that is a factor of each term
2. Divide the polynomial by the monomial factor. The quotient is the other factor.
3. Express the polynomial as the product of the two factors
LEVER
A lever is a bar that can rotate about a fixed point called the fulcrum. When a lever is balanced, the weight to the fulcrum is equal to the weight on the other side times the distance from it to the fulcrum.
The fomula is w1 x d1 = w2 x d2
FOIL
Foil is a method for multiplying two binomials. Multiply terms is parentheses in the following order:
Firsts; Outers; Inners; Lasts

example: (a + b)(c +d)
ac + ad + bc + bd
What is the product of the sum and difference of two terms?
The product of the sum and difference of two terms is equal to the sqare of the first term minus the square of the second term

(x + y) (x - y) = x2 - y2
A trinomial is of the form ax2+bx+c. How is a trinomial factored?
1. The product of the first terms of both binomials must equal the first term of the trinomial (ax2)
2. The product of the last terms of both binomials must equal the last term of the trinomial
3. When the first term of each binomial is multiplied by the second term of the other and the sum of these products is found, it must be equal to the middle term (bx)