Quant Flashcards
What are the three decimals to the right of 1 called
Tenth
Hundredth
Thousandth
How do you multiply two decimals ?
Multiply them as integers. Then count the decimals and move the result to the right by that amount
How do you divide Decimals ?
Move both decimals to the left until they are both integers.
Then divide
What is a terminating decimal?
Decimals has a finite number of digits
What is a non terminating decimal ?
A decimal with an infinite number of digits
What kinds of non-terminating decimals are there ?
And what are they?
Repeating: 0,45454545
and non repeating: Pi
What fractions will always be terminating?
Any fraction with the denominator of:
2, 5, 8, 10
Name the terminating x non terminating multiplication rules
Terminatin x Terminating = Terminating
Non x Terminating = Non
Non x Non = Non
When should Plugging in be used ?
- There are variables in the question and answer choice
- The problem uses the phrase “ in terms of”
-You have the urge to do algebra
What are good numbers when Plugging in?
- small numbers: 2, 3, 5, 10
-100 if the problems deals with percentages
-The product of distinct denominators if the problem has fractions
What numbers should be avoided when plugging in?
-0 and 1
-Numbers from the answers
-Conversion Factors such as 60 in problems including Minutes
When should the hidden Plug in be used?
- The answers are fractions, percentages or ratios
- There is no starting number
-You have the urge to write an equation
When should plugging in the answers be used ?
- The answers are numbers
-The question uses phrases such as “how much” or “ how many”
-You have the urge to write and solve an equation
What are the steps of simplifying algebraic expressions ?
- Combine like terms
—> first add and subtract, then divide and multiply - Factor
—> first pull apart the biggest number, then insert the rest
How should 10x + 4x be factored ?
- Pull apart the biggest number
—> 2x * (5 ) - Insert the rest
—> 2x * (5 + 2)
What is a real number ?
-Anything that is defined in the number line
-Anything but infinity or negative roots
What are the - and + rules ?
- -and - is always +
- -and + is always -
- and + is always +
When can Roots be added or subtracted?
-Only when the number under the radical and the power of the root is the same
How are roots added and subtracted?
-The Numbers outside the roots are added and subtracted. The rest Stays the same
Ex: a{r + b{r = (a + b){r
Ex: a{r - b{r = (a - b){r
When can Roots be multiplied ?
-Only when the power of the roots is equal
How are roots Multiplied ?
- multiply the number inside the root and the numbers outside the roots
Ex: {r * {s = {rs
Ex: a{r * b{s = (ab){rs
How are roots divided by roots ?
- the numbers under the radical are divided, the roots stays moves above both
Ex: {r{s = {r\s
What is a root in the denominator ?
-improper
- denominator and nominative have to be multiplied by the root in order to removed
What is MADSPM
-when multiplying roots Add
-when dividing roots subtract
-when roots are to the power of roots multiply
What does a fractional Exponent mean?
-the number under the exponent is equal to a root
- the nominative is the power of the number and the denominator is the power of the root
Ex: x hoch 3\4 = vierte Wurzel x hoch 3
What does a negative exponent mean ?
-the number under the exponent is the denominator of a fraction to the power of the |value| of the power
Ex: x to the power of -2 = 1/x to the power of 2
What is a nonzero number raised to the power of zero?
- 1
What is the standard form of a quadratic equation?
ax^2 + bx + c = 0
How many answers does a quadratic equation have?
- two at most
What is the basic approach to solving a quadratic equation ?
- Sett the equation equal to zero (in the standard form)
- Factor the equation
What are the steps when factoring a quadratic equation?
- Split the quadratic
- Find the factors of the last value
- Of those factors find the two, that added or subtracted equal the b component
- Find the values making the Formular equal to zero
What is a linear equation?
- An equation, where each variable has an exponent of one
How are linear equations solved ?
- Combine like terms
- Isolate the variable
When and how is cross multiplication used ?
- when both sides of the equation are fractions
- by multiplying both sides with the denominator of the other side
What are the three forms in which ratios can be written
- 2:3
- 2 to 3
- 2/5
How is a ratio written as a fraction?
- denominator is the sum of both sides of the ratio
- the nominative is the side you want to express
When should proportions be used ?
When an unknown ratio compares the same items as a known ratio
How can proportions be solved ?
Cross multiply and simplify
What is the average of two lists
All numbers of both lists added divided by the number of items in both lists
-not both averages added and divided by two
When are rates involved in questions?
-questions including speed or Amounts of work
-questions including time
What is the speed formula ?
Speed = Distance * Time
What is the work formula ?
Work = Quantity Produced * Time
What is the Pay formula ?
Pay = Currency * Time
What is the relationship between a rate and time ?
Rate is the inverse of time
When are problems usually work problems ?
- when the rates at which a person or Maschine works is given
What is the basic work formula ?
1/a +1/b = 1/h
What are measurement questions?
Almost all questions including conversion rates
How are measurement questions solved ?
- Set up proportions and cross multiply
What is a quadratic equation
Equation for which the greatest exponent for any variable is 2
What are the common quadratics ?
- x2 - y2 = (c + y)(x - y)
- x2 + 2xy + y2 = (x + y)(x + y)
- x2 -2xy + y2 = (x - y)(x - y)
What are the three types of counting methods ?
- Multiple sources, single selection
- Single sources, multiple selections
- Multiple sources, multiple selections
How are multiple sources, single selection questions solved ?
Multiply the number of possibilities of each source
How are Single source, multiple selection questions solved?
- Identify: there is a single source from which multiple times is selected
- Does order matter? ( look for wehe words different arrangements)
- If order matters: do not divide
- If order does not matter: divide
How is the probability of P(A and B) calculated ?
P(A) * P(B)
How is the probability of P(A or B) calculated ?
P(A) + P(B) -P(A and B)
How is the probability of P(A) calculated ?
1- P(not A)
When should one use 1- P(not A)
Probability questions using the words at least
How are sequences of probabilities calculated ?
Multiply them
- for sampling with replacement divide
How is the least common multiplier calculated ?
By multiplying the highest power prime factors of each distinct prime factor by the others.
What happens when a fraction is to the power of -1
The fraction is flipped
