SHSAT STUDY---------------------SHSAT STUDY, Exams of Advanced Education

SHSAT STUDY-------------------SHSAT STUDY

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SHSAT STUDY
Whole Numbers - correct answer non-negative numbers including zero
Integers - correct answer positive or negative whole numbers including zero
Prime Numbers - correct answer positive integers that can only be divided by one
and itself
Factor - correct answer a factor is a number that divides evenly into a given
number-that is, has no remainder
Greatest Common Factor - correct answer the greatest common factor the divides
two numbers without a remainder.
1. List the prime factors of each number.
2. Multiply together only the factors that both numbers have in common to find GCF
3. If the two numbers do not share any common prime factors, their greatest
common factor is 1
Multiple - correct answer An integer multiplied by another integer results in a
multiple of each integer; an integer is a multiple of another integer if the remainder
is 0 when you divide the larger integer (in absolute value) by the smaller integer.
Least Common Multiple - correct answer the least common multiple of two (or more)
integers is the smallest positive integer that is a multiple of each of those integers.
To find the LCM of a set of numbers:
1. Factor out each number and express it as a product of prime numbers.
2. Find the LCM by multiplying together the highest power of each prime factor that
happens in any of the numbers.
Convert Fractions to Decimals - correct answer divide the numerator by the
denominator
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SHSAT STUDY

Whole Numbers - correct answer non-negative numbers including zero Integers - correct answer positive or negative whole numbers including zero Prime Numbers - correct answer positive integers that can only be divided by one and itself Factor - correct answer a factor is a number that divides evenly into a given number-that is, has no remainder Greatest Common Factor - correct answer the greatest common factor the divides two numbers without a remainder.

  1. List the prime factors of each number.
  2. Multiply together only the factors that both numbers have in common to find GCF
  3. If the two numbers do not share any common prime factors, their greatest common factor is 1 Multiple - correct answer An integer multiplied by another integer results in a multiple of each integer; an integer is a multiple of another integer if the remainder is 0 when you divide the larger integer (in absolute value) by the smaller integer. Least Common Multiple - correct answer the least common multiple of two (or more) integers is the smallest positive integer that is a multiple of each of those integers. To find the LCM of a set of numbers:
  4. Factor out each number and express it as a product of prime numbers.
  5. Find the LCM by multiplying together the highest power of each prime factor that happens in any of the numbers. Convert Fractions to Decimals - correct answer divide the numerator by the denominator

Convert Decimals to Fractions - correct answer pu the decimal over the place and reduce. The decimal is followed by the tenths, hundredths, thousandths... Multiplying Decimals - correct answer Multiply as if hey were whole numbers (line up the numbers to the right; do not line up decimal points .) After multiplied throughly move the decimal points to the left. Dividing Decimals - correct answer If the divisor (the number you're dividing by) isn't a whole number, mov the decimal point right to make it a whole number; then move the decimal in the dividend (the number being divided) to the right the same number of places then divide as usually. Rounding and Place Value - correct answer to round to any place value, look at the preceding places value. If it is 5 or more, round up by one. If the preceding lace values digit is less than 5, leave the originally digit alone. Order of Operations - correct answer use PEMDAS P= Parenthesis E= Exponents M&D= Multiplication & division (left to right) A&S= Addition & Subtraction (left to right) What - correct answer some variable (x) Is - correct answer = Sum - correct answer + Subtract - correct answer - Difference - correct answer -

prime numbers - correct answer a number that can only be multiplied by 1 and its self to get itself can't be 0 or 1 and is mostly odd numbers except 2. reciprocal - correct answer flip the fraction ex: 1/5 is reciprocal of 5 percentage calculation - correct answer divide the part by the whole and multiply by 100 ex: piece/whole x 100= percentage of the whole Probability - correct answer the likelihood that a particular event will occur. It is expressed as a value from 0 to 1 Probability= # of favorable outcome/ total # of outcomes Independent - correct answer occurrence of one event does not affect the probability of the other event. Ex: picking a card at random then replacing and picking up another card Dependent - correct answer the occurrence of one event DOES affect the probability of the other event Ex: picking a card at random and NOT replacing multiplying like bases - correct answer you add the exponents diving like bases - correct answer you subtract the exponents can you add or subtract like bases - correct answer no you only do that when multiplying or dividing raising a power to a power - correct answer multiply exponents

when you have a negative exponent - correct answer make that exponent positive and put the whole thing under 1. If that negative exponent in the denominator is negative you move the base and with that exponent to the numerator when you raise a number to the 1/2 power - correct answer take the square root ex: 4 to 1/2 is equal to 2 any number raised to the 0 power - correct answer equal to 1 zero raised to any power - correct answer equal to 0 working with like bases - correct answer drop the base creating like bases - correct answer find the substitute for the base A positive base raised to any power - correct answer is positive A negative base raise to an even power - correct answer is positive A negative base raised to an odd power - correct answer is negative > - correct answer greater than < - correct answer less than complex inequalities - correct answer break the problem up into two different inequalities and solve each piece separately Ex: 3x-4<6x<3x+ *6x>3x- *6x<3x+

1 kilometer - correct answer 0.62 mile 1 meter - correct answer 39. 1 kilogram - correct answer 2.2 pounds adding subtracting square roots - correct answer if the term has the same under the radical you can do as you normally would simplifying radicals - correct answer when simplifying radicals factor out the perfect square and put it in front of the radical sign. Every time a variable is raised to the second power, one can take the square root of the variable. distance= - correct answer rate X time how many degrees is a straight line? - correct answer 180* how many degrees are there in any triangle - correct answer 180* how many degrees are there in a quadrilateral - correct answer 360* what are vertical lines always - correct answer equal area formula - correct answer a= base X height divided by 2 isosceles triangles - correct answer have two equal sides equilateral triangles - correct answer have 3 equal sides each angle measurement is 60*

exterior angles - correct answer the measure of an exterior angle is equal to the sum of the remote interior angles how many degrees is a circle - correct answer 360* formula for area of a circle - correct answer A= PIr squared circumference formula - correct answer PI diameter or 2PIr perimeter - correct answer distance outside edge of shape volume - correct answer length X width X height or base X height surface area - correct answer find area of each side individually than add them all up together common line measurements of phthagreom theorem - correct answer 3, 4, 5 phthagreom theorem - correct answer A squared + B squared = C squared