# PCAT Math

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1. Order of Operations
• Parentheses
• Exponents
• Multiplication
• Division
• Subtraction
2. IfÂ  a problem it factored you should...
distribute it
3. If a problem is distributed you should...
factor it
4. Another word for "factors" is...
divisors
5. The largest factor of a number is...
that number
6. Factors are _____, Multiples are ______.
• few
• many
7. the smallest multiple of a number is....
that number
8. when factoring you're getting numbers that are..
less than or equal to the number
9. when getting multiples youre getting numbers that are..
greater than or equal to the number
10. when reducing fractions find the...
common denominator
11. when comparing fractions and finding which is bigger or smaller you need to...
cross multiply (larger number, is the larger fraction)
12. to add "unlike" fractions you use the...
bowtie method, cross multiply to get two numbers, add those numbers together then divide by the product of the denominators
13. To subtract "unlike" fractions you use the...
bowtie method, cross multiply to get two numbers, subtract those numbers together then divide by the product of the denominators
14. you cannot reduce fractions over an...
equal sign
15. to divide unlike fractions you must...
invert second fraction then multiply straight across
16. to turn fractions into decimals you...
do the division
17. to convert decimals to fractions you...
count number of placesÂ  in number, then place number w/o decimal over the unit....(3 places = 1000) then divide
18. to multiply decimals..
count how many digits in total are to the right in the whole problem, then multply the numbers normally, then place the decimal point so that the same amount of digits are to the right.
19. when converting decimals to percentages you...
move the decimal point 2 places to the right
20. when converting percentages to decimals you...
move decimal point two places to the left
21. "what percent" means
y/100
22. "percent" means
/100
23. "what:" means
y
24. "of" means
multiplication
25. "is, are, were" means
=
26. Percent change equation
% = (amount change/original) x 100
27. average equation triangle
total/(# of things x averages)
28. a negative power is the reciprocal of...
a positive power
29. anything to the zero power is...
1
30. anything to the first power is...
itself
31. when several numbers are inside parentheses, the exponent outside the parentheses must be...
distributed to all the numbers within
32. when multiplying exponents when bases are the same, you ____ the exponents.
33. when dividing exponents when bases are the same, you ____ the exponents.
subtract
34. when multiplying or dividing exponents that are the same with different bases, to solve them you...
preform the regular operation to the base (multiply, divide) and keep the exponent the same.
35. if exponential terms have different bases and different exponents how do you combine them?
you cant
36. terms with exponents can be added or subtracted only when...
they have the same base and exponent.
37. when an exponential term is raised to another power, these exponents are _______ and the coefficent inside the pararenthesis is raised by the exponent on the ______.
• mutiplied
• outside
38. a negative number raised to an odd power is..
negative
39. a negative number raised to an even power becomes..
positive
40. anything raised to an even power is...
positive
41. A negative number has no real...
roots, usually no solution
42. if you raise a positive fraction of less than 1 to a power, it gets....
smaller
43. if you raise a negative number to an odd power, the number gets...
smaller
44. roots are...
exponents in reverse
45. when you have roots, break them down according to..
• what kind of root they are...
• square = 2 factors
• Cubed = 3 factors
• fourthed = 4 factors
• fifted = 5 factors
46. when the number under a radical has a factor whose root is an integer, then the radical can be....
simplified
47. roots can be combined by addition and subtraction only when..
they are roots of the same order and roots of the same number
48. roots can be multiplied and divided freely as long as...
all the roots are of the same order
49. when you have fractional exponents the numerator is ..
inside the root
50. when you have fractional exponents the denominator is ..
outside the root
51. the square of two is... (valentines day)
1.4
52. the square of three is... (st. patricks day)
1.7
 Author: cooxcooxbananas ID: 163022 Card Set: PCAT Math Updated: 2012-08-21 02:02:55 Tags: Pcat Math Folders: Description: Pcat Math Show Answers: