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






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






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






4. 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.






5. 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






6. (a






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






8. Solving Equations






9. An important part of problem solving is identifying






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






11. Originally known as analysis situs






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






13. A + 0 = 0 + a = a






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






15. Is the length around an object. Used to calculate such things as fencing around a yard - trimming a piece of material - and the amount of baseboard needed for a room.It is not necessary to have a formula since it is always just calculated by adding t






16. 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.






17. 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






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






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






20. Add and subtract






21. 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






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






23. The fundamental theorem of arithmetic says that






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






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






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






27. 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).






28. A flat map of hyperbolic space.






29. A · 1 = 1 · a = a






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






31. Means approximately equal.






32. 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).






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






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






35. If a = b then






36. 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.






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






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






39. 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.'






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






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






42. Negative






43. 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






44. Points in two-dimensional space require two numbers to specify them completely. The Cartesian plane is a good way to envision two-dimensional space.






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






46. This step is easily overlooked. For example - the problem might ask for Jane's age - but your equation's solution gives the age of Jane's sister Liz. Make sure you answer the original question asked in the problem. Your solution should be written in






47. 1. Find the prime factorizations of each number. To find the prime factorization one method is a factor tree where you begin with any two factors and proceed by dividing the numbers until all the ends are prime factors. 2. Star factors which are shar






48. Writing Mathematical equations - arrange your work one equation






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






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