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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 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






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






3. If a = b then a + c = b + c If a = b then a - c = b - c If a = b then a






4. A way to extrinsically measure the curvature of a surface by looking at a given point and finding the contour line with the greatest curvature and the contour line with the least curvature.






5. × - ( )( ) - · - 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






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






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






8. Perform all additions and subtractions in the order presented






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






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






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






12. 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).






13. A number is divisible by 2






14. 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.






15. 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.






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






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






18. 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






19. Originally known as analysis situs






20. N = {1 - 2 - 3 - 4 - 5 - . . .}.






21. This model is at the forefront of probability research. Mathematicians use it to model traffic patterns in an attempt to understand flow rates and gridlock - among other things.






22. If a = b then






23. Codifies the 'average behavior' of a random event and is a key concept in the application of probability.






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. In the expression 3






26. If a = b then






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






28. Aka The Osculating Circle - a way to measure the curvature of a line.






29. This means that for any two magnitudes - one should always be able to find a fundamental unit that fits some whole number of times into each of them (i.e. - a unit whose magnitude is a whole number factor of each of the original magnitudes)






30. 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.






31. 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.






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






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






34. If a = b then






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






36. 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 -






37. The study of shape from an external perspective.






38. 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






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






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






41. A + b = b + a






42. 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.






43. 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






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






45. To describe and extend a numerical pattern






46. A · b = b · a






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






48. You must always solve the equation set up in the previous step.






49. The system that Euclid used in The Elements






50. (a