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






2. The process of taking a complicated signal and breaking it into sine and cosine components.






3. We can think of the space between primes as 'prime deserts -' strings of consecutive numbers - none of which are prime.






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






5. A · 1 = 1 · a = a






6. Is a symbol (usually a letter) that stands for a value that may vary.






7. Has no factors other than 1 and itself






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






9. 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.






10. If grouping symbols are nested






11. 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.'






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






13. Perform all additions and subtractions in the order presented






14. 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






15. 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 -






16. 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).






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






18. The state of appearing unchanged.






19. Are the fundamental building blocks of arithmetic.






20. If the sum of its digits is divisible by 3 (ex: 3591 is divisible by 3 since 3 + 5 + 9 + 1 = 18 is divisible by 3).






21. 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






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






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






24. At each level of the tree - break the current number into a product of two factors. The process is complete when all of the 'circled leaves' at the bottom of the tree are prime numbers. Arranging the factors in the 'circled leaves' in order. The fina






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






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






27. The whole number zero is called the additive identity. If a is any whole number - then a + 0 = a.






28. A + b = b + a






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






30. The study of shape from an external perspective.






31. 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.






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






33. 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






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






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






36. A point in one dimension requires only one number to define it. The number line is a good example of a one-dimensional space.






37. If its final digit is a 0 or 5.






38. 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






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






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






41. The inverse of multiplication






42. 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






43. Negative






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






45. A + 0 = 0 + a = a






46. 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.






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






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






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






50. If a represents any whole number - then a