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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. Positive integers are






2. If grouping symbols are nested






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






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






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






6. Some numbers make geometric shapes when arranged as a collection of dots - for example - 16 makes a square - and 10 makes a triangle.






7. A way to measure how far away a given individual result is from the average result.






8. Mathematical statement that equates two mathematical expressions.






9. It is important to note that this step does not imply that you should simply check your solution in your equation. After all - it's possible that your equation incorrectly models the problem's situation - so you could have a valid solution to an inco






10. If a = b then a + c = b + c If a = b then a - c = b - c If a = b then a






11. Requirements for Word Problem Solutions.






12. Has no factors other than 1 and itself






13. 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






14. 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.






15. In some ways - the opposite of a multitude is a magnitude - which is ___________. In other words - there are no well defined partitions.






16. You must let your readers know what each variable in your problem represents. This can be accomplished in a number of ways: Statements such as 'Let P represent the perimeter of the rectangle.' - Labeling unknown values with variables in a table - Lab






17. Perform all additions and subtractions in the order presented






18. Originally known as analysis situs






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






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






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






22. 4 more than a certain number is 12






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






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






25. Let a and b be whole numbers. Then a is _______________ by b if and only if the remainder is zero when a is divided by b. In this case - we say that 'b is a divisor of a.'






26. Because of the associate property of addition - when presented with a sum of three numbers - whether you start by adding the first two numbers or the last two numbers - the resulting sum is






27. 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).






28. 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.






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






30. The cardinality of sets that cannot be put into one-to-one correspondence with the counting numbers - such as the set of real numbers - is referred to as c. The designations A_0 and c are known as 'transfinite' cardinalities.






31. The inverse of multiplication






32. 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






33. In any ratio of two whole numbers - expressed as a fraction - we can interpret the first (top) number to be the 'counter -' or numerator






34. When writing mathematical statements - follow the mantra:






35. If a = b then






36. ____________ theory enables us to use mathematics to characterize and predict the behavior of random events. By 'random' we mean 'unpredictable' in the sense that in a given specific situation - our knowledge of current conditions gives us no way to






37. 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.






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






39. W = {0 - 1 - 2 - 3 - 4 - 5 - . . .} is called






40. The four-dimensional analog of the cube - square - and line segment. A hypercube is formed by taking a 3-D cube - pushing a copy of it into the fourth dimension - and connecting it with cubes. Envisioning this object in lower dimensions requires that






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






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






43. This result relates conserved physical quantities - like conservation of energy - to continuous symmetries of spacetime.

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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. 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.






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






47. 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






48. A + 0 = 0 + a = a






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






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