Test your basic knowledge |

CLEP General Math: Number Sense - Patterns - Algebraic Thinking

Subjects : clep, math, algebra
Instructions:
  • Answer 50 questions in 15 minutes.
  • If you are not ready to take this test, you can study here.
  • Match each statement with the correct term.
  • Don't refresh. All questions and answers are randomly picked and ordered every time you load a test.

This is a study tool. The 3 wrong answers for each question are randomly chosen from answers to other questions. So, you might find at times the answers obvious, but you will see it re-enforces your understanding as you take the test each time.
1. Originally known as analysis situs






2. 1. Find the prime factorizations of each number. To find the prime factorization one method is a factor tree where you begin with any two factors and proceed by dividing the numbers until all the ends are prime factors. 2. Star factors which are shar






3. Is the shortest string that contains all possible permutations of a particular length from a given set.






4. A group is just a collection of objects (i.e. - elements in a set) that obey a few rules when combined or composed by an operation. In order for a set to be considered a group under a certain operation - each element must have an inverse - the set mu






5. 1. Any two points can be joined by a straight line. 2. Any straight line segment can be extended indefinitely in a straight line. 3. Given any straight line segment - a circle can be drawn having the segment as radius and one endpoint as center. 4. A

Warning: Invalid argument supplied for foreach() in /var/www/html/basicversity.com/show_quiz.php on line 183


6. Non-Euclidean geometries abide by some - but not all of Euclid's five postulates.






7. Division by zero is undefined. Each of the expressions 6






8. Use parentheses - brackets - or curly braces to delimit the part of an expression you want evaluated first.






9. The multitude concept presented numbers as collections of discrete units - rather like indivisible atoms.






10. Cannot be written as a ratio of natural numbers.






11. A point in three-dimensional space requires three numbers to fix its location.






12. If a is any whole number - then a






13. If a represents any whole number - then a






14. Is the length around an object. Used to calculate such things as fencing around a yard - trimming a piece of material - and the amount of baseboard needed for a room.It is not necessary to have a formula since it is always just calculated by adding t






15. Positive integers are






16. In a mathematical sense - it is a transformation that leaves an object invariant. Symmetry is perhaps most familiar as an artistic or aesthetic concept. Designs are said to be symmetric if they exhibit specific kinds of balance - repetition - and/or






17. A topological object that can be used to study the allowable states of a given system.






18. Arise from the attempt to measure all quantities with a common unit of measure.






19. Does not change the solution set. That is - if a = b - then multiplying both sides of the equation by c produces the equivalent equation a






20. Reveals why we tend to find structure in seemingly random sets. Ramsey numbers indicate how big a set must be to guarantee the existence of certain minimal structures.






21. N = {1 - 2 - 3 - 4 - 5 - . . .}.






22. If the sum of its digits is divisible by 9 (ex: 3591 is divisible by 9 since 3 + 5 + 9 + 1 = 18 is divisible by 9).






23. The whole number zero is called the additive identity. If a is any whole number - then a + 0 = a.






24. An equation is a numerical value that satisfies the equation. That is - when the variable in the equation is replaced by the solution - a true statement results.






25. Does not change the solution set. That is - if a = b - then dividing both sides of the equation by c produces the equivalent equation a/c = b/c - provided c = 0.






26. If a - b - and c are any whole numbers - then a






27. If its final digit is a 0.






28. This means that for any two magnitudes - one should always be able to find a fundamental unit that fits some whole number of times into each of them (i.e. - a unit whose magnitude is a whole number factor of each of the original magnitudes)






29. A topological invariant that relates a surface's vertices - edges - and faces.






30. 1. Parentheses (or any grouping symbol {braces} - [square brackets] - |absolute value|)

Warning: Invalid argument supplied for foreach() in /var/www/html/basicversity.com/show_quiz.php on line 183


31. Two equations if they have the same solution set.






32. Says that when a random process - such as dropping marbles through a Galton board - is repeated many times - the frequencies of the observed outcomes get increasingly closer to the theoretical probabilities.






33. Cantor called the cardinality of all the sets that can be put into one-to-one correspondence with the counting numbers - or 'Aleph Null.'






34. Whether or not we hear waves as sound has everything to do with their _____________ - or how many times every second the molecules switch from compression to rarefaction and back to compression again - and their intensity - or how much the air is com






35. The system that Euclid used in The Elements






36. This step is easily overlooked. For example - the problem might ask for Jane's age - but your equation's solution gives the age of Jane's sister Liz. Make sure you answer the original question asked in the problem. Your solution should be written in






37. If we start with a number x and add a number a - then subtracting a from the result will return us to the original number x. x + a - a = x. so -






38. Writing Mathematical equations - arrange your work one equation






39. Every whole number can be uniquely factored as a product of primes. This result guarantees that if the prime factors are ordered from smallest to largest - everyone will get the same result when breaking a number into a product of prime factors.






40. To describe and extend a numerical pattern






41. × - ( )( ) - · - 1. Multiply the numbers (ignoring the signs)2. The answer is positive if they have the same signs. 3. The answer is negative if they have different signs. 4. Alternatively - count the amount of negative numbers. If there are an even






42. The expression a^m means a multiplied by itself m times. The number a is called the base of the exponential expression and the number m is called the exponent. The exponent m tells us to repeat the base a as a factor m times.






43. If a = b then






44. Let a and b represent two whole numbers. Then - a + b = b + a.






45. (a · b) · c = a · (b · c)






46. Einstein's famous theory - relates gravity to the curvature of spacetime.






47. In the expression 3






48. Our standard notions of Pythagorean distance and angle via the inner product extend quite nicely from three-space.






49. Collection of objects. list all the objects in the set and enclosing the list in curly braces.






50. Are the fundamental building blocks of arithmetic.