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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. The fundamental theorem of arithmetic says that






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






3. Positive integers are






4. 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






5. Perform all additions and subtractions in the order presented






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






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






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






9. If its final digit is a 0.






10. An important part of problem solving is identifying






11. 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.






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






13. 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.






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






15. 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






16. 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.'






17. A · 1/a = 1/a · a = 1






18. 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.






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






20. If a and b are any whole numbers - then a






21. When writing mathematical statements - follow the mantra:






22. 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






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






24. 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.






25. (a · b) · c = a · (b · c)






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






27. 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.






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






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






31. An arrangement where order matters.






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






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






34. Has no factors other than 1 and itself






35. A






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






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






38. If a is any whole number - then a






39. 1. Find the prime factorizations of each number.






40. To describe and extend a numerical pattern






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






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






43. × - ( )( ) - · - 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






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






45. 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.






46. 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.






47. Means approximately equal.






48. 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).






49. 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.






50. Uses second derivatives to relate acceleration in space to acceleration in time.