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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. Are the fundamental building blocks of arithmetic.






2. Multiplication is equivalent to






3. Every solution to a word problem must include a carefully crafted equation that accurately describes the constraints in the problem statement.






4. 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

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5. 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).






6. Index p radicand






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






8. To describe and extend a numerical pattern






9. If a = b then






10. Topological objects are categorized by their _______ (number of holes). The genus of a surface is a feature of its global topology.






11. The amount of displacement - as measured from the still surface line.






12. A factor tree is a way to visualize a number's






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






14. The fundamental theorem of arithmetic says that






15. At each level of the tree - break the current number into a product of two factors. The process is complete when all of the 'circled leaves' at the bottom of the tree are prime numbers. Arranging the factors in the 'circled leaves' in order. The fina






16. Rules for Rounding - To round a number to a particular place - follow these steps:






17. 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






18. If a = b then






19. When comparing two whole numbers a and b - only one of three possibilities is true: a < b or a = b or a > b.






20. 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






21. A number is divisible by 2






22. If on a surface there is no meaningful way to tell an object's orientation (left or right handedness) - the surface is said to be non-orientable.






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






24. If a and b are any whole numbers - then a






25. A point in one dimension requires only one number to define it. The number line is a good example of a one-dimensional space.






26. This famous - as yet unproven - result relates to the distribution of prime numbers on the number line.






27. This ubiquitous result describes the outcomes of many trials of events from a wide array of contexts. It says that most results cluster around the average with few results far above or far below average.






28. Determines the likelihood of events that are not independent of one another.






29. Is a path that visits every node in a graph and ends where it began.






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






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






32. Three is the common property of the group of sets containing three members. This idea is called '__________ -' which is a synonym for 'size.' The set {a -b -c} is a representative set of the cardinal number 3.






33. This method can create a flat map from a curved surface while preserving all angles in any features present.






34. The system that Euclid used in The Elements






35. Also known as gluing diagrams - are a convenient way to examine intrinsic topology.






36. 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.






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






38. A whole number (other than 1) is a _____________ if its only factors (divisors) are 1 and itself. Equivalently - a number is prime if and only if it has exactly two factors (divisors).






39. 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.






40. 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






41. Means approximately equal.






42. A '___________' infinite set is one that can be put into one-to-one correspondence with the set of natural numbers.






43. An arrangement where order matters.






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






45. 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)






46. 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






47. Objects are topologically equivalent if they can be continuously deformed into one another. Properties that are preserved during this process are called topological invariants.






48. A graph in which every node is connected to every other node is called a complete graph.






49. The surface of a standard 'donut shape'.






50. A point in four-space - also known as 4-D space - requires four numbers to fix its position. Four-space has a fourth independent direction - described by 'ana' and 'kata.'