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






2. If a = b then






3. 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)






4. × - ( )( ) - · - 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






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






6. Assuming that the air is of uniform density and pressure to begin with - a region of high pressure will be balanced by a region of low pressure - called rarefaction - immediately following the compression






7. Aka The Osculating Circle - a way to measure the curvature of a line.






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






9. 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






10. 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


11. This important result says that every natural number greater than one can be expressed as a product of primes in exactly one way.






12. 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






13. Mathematical statement that equates two mathematical expressions.






14. 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.






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






16. 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.






17. A(b + c) = a · b + a · c a(b - c) = a · b - a · c






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


19. 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 -






20. An object possessing continuous symmetries can remain invariant while one symmetry is turned into another. A circle is an example of an object with continuous symmetries.






21. The solutions to this gambling dilemma is traditionally held to be the start of modern probability theory.






22. 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






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






24. An important part of problem solving is identifying






25. Multiplication is equivalent to






26. A flat map of hyperbolic space.






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






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






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






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






31. If a = b then






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






33. Requirements for Word Problem Solutions.






34. The study of shape from the perspective of being on the surface of the shape.






35. Add and subtract






36. When writing mathematical statements - follow the mantra:






37. 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.






38. 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.






39. 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.






40. Instruments produce notes that have a fundamental frequency in combination with multiples of that frequency known as partials or overtones






41. Index p radicand






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


43. 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).






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






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






46. 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.






47. If its final digit is a 0.






48. 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.






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






50. 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