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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. Means approximately equal.






2. The system that Euclid used in The Elements






3. The study of shape from an external perspective.






4. 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.






5. 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.






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






7. 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.






8. 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.






9. (a · b) · c = a · (b · c)






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






11. If its final digit is a 0.






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






13. Dimension is how mathematicians express the idea of degrees of freedom






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






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






16. 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.






17. 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).






18. 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






19. ____________ 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






20. The identification of a 'one-to-one' correspondence--enables us to enumerate a set that may be difficult to count in terms of another set that is more easily counted.






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






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

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23. 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






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






25. 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.






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






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






28. 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.'






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






30. A · 1/a = 1/a · a = 1






31. 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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32. Multiplication is equivalent to






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






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






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






36. Writing Mathematical equations - arrange your work one equation






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






38. A · b = b · a






39. 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.






40. Are the fundamental building blocks of arithmetic.






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






42. All integers are thus divided into three classes:






43. 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






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






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

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46. 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






47. 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.






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






49. When writing mathematical statements - follow the mantra:






50. If we start with a number x and multiply by a number a - then dividing the result by the number a returns us to the original number x. In symbols - a