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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. If its final digit is a 0 or 5.






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






3. If a represents any whole number - then a






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






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






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






7. 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






8. If a = b then






9. Trigonometric functions - such as sine and cosine - are useful for modeling sound waves - because they oscillate between values






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






11. (a · b) · c = a · (b · c)






12. A · b = b · a






13. 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.






14. If its final digit is a 0.






15. 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.'






16. 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.






17. Says that when a random process - such as dropping marbles through a Galton board - is repeated many times - the frequencies of the observed outcomes get increasingly closer to the theoretical probabilities.






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






19. An equation is a numerical value that satisfies the equation. That is - when the variable in the equation is replaced by the solution - a true statement results.






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






21. An instrument's _____ - the sound it produces - is a complex mixture of waves of different frequencies.






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






23. Two equations if they have the same solution set.






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






25. 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.






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






27. Has no factors other than 1 and itself






28. Requirements for Word Problem Solutions.






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






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






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






32. 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).






33. Solving Equations






34. If a is any whole number - then a






35. Negative






36. 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.






37. If we start with a number x and subtract a number a - then adding a to the result will return us to the original number x. In symbols - x - a + a = x. So -






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






39. 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).






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






41. 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






42. A sphere can be thought of as a stack of circular discs of increasing - then decreasing - radii. The process of slicing is one way to visualize higher-dimensional objects via level curves and surfaces. A hypersphere can be thought of as a 'stack' of






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






44. When writing mathematical statements - follow the mantra:






45. ____________ 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






46. If grouping symbols are nested






47. A flat map of hyperbolic space.






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






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






50. Used to display measurements. The measurement was taken is placed on the horizontal axis - and the height of each bar equals the amount during that year.