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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. × - ( )( ) - · - 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






2. The inverse of multiplication






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






4. Means approximately equal.






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






6. Solving Equations






7. 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






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






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






10. (a · b) · c = a · (b · c)






11. In this type of geometry the angles of a triangle add up to more than 180 degrees. In such a system - one has to replace the parallel postulate with a version that admits no parallel lines as well as modify Euclid's first two postulates.






12. The expression a/b means






13. Some favor repeatedly dividing by 2 until the result is no longer divisible by 2. Then try repeatedly dividing by the next prime until the result is no longer divisible by that prime. The process terminates when the last resulting quotient is equal t






14. If its final digit is a 0 or 5.






15. Adding the same quantity to both sides of an equation - if a = b - then adding c to both sides of the equation produces the equivalent equation a + c = b + c.






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






17. If a = b then






18. This area of mathematics relates symmetry to whether or not an equation has a 'simple' solution.






19. 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.






20. The distribution of averages of many trials is always normal - even if the distribution of each trial is not.






21. 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.'






22. A + (-a) = (-a) + a = 0






23. TA model of a sequence of random events. Each marble that passes through the system represents a trial consisting of as many random events as there are rows in the system.






24. 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.






25. A way to analyze sequences of events where the outcomes of prior events affect the probability of outcomes of subsequent events.






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






27. In this type of geometry the angles of a triangle add up to less than 180 degrees. In such a system - one has to replace the parallel postulate with a version that admits many parallel lines.






28. 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).






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






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






31. 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).






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






33. Breaks a complicated signal into a combination of simple sine waves. Fourier synthesis does the opposite - constructing a complicated signal from simple sine waves.






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






35. 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






36. If a whole number is not a prime number - then it is called a...






37. A way to extrinsically measure the curvature of a surface by looking at a given point and finding the contour line with the greatest curvature and the contour line with the least curvature.






38. 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






39. The system that Euclid used in The Elements






40. Let a - b - and c represent whole numbers. Then - (a + b) + c = a + (b + c).






41. If a = b then






42. Original Balance minus River Tam's Withdrawal is Current Balance






43. Let a - b - and c be any whole numbers. Then - a






44. GThe mathematical study of space. The geometry of a space goes hand in hand with how one defines the shortest distance between two points in that space.






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






46. An algebraic 'sentence' containing an unknown quantity.






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






48. This result says that the symmetries of geometric objects can be expressed as groups of permutations.

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49. Add and subtract






50. (a