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






2. Are the fundamental building blocks of arithmetic.






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






4. The fundamental theorem of arithmetic says that






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






6. If its final digit is a 0.






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






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






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






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






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






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






13. Writing Mathematical equations - arrange your work one equation






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






15. 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.






16. If we start with a number x and add a number a - then subtracting a from the result will return us to the original number x. x + a - a = x. so -






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






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






19. 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






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






21. 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






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






23. A · b = b · a






24. 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






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






26. If a = b then






27. 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






28. ____________ 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






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






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






31. Let a and b represent two whole numbers. Then - a + b = b + a.






32. Positive integers are






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






34. Also known as 'clock math -' incorporates 'wrap around' effects by having some number other than zero play the role of zero in addition - subtraction - multiplication - and division.






35. 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.






36. A number is divisible by 2






37. 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.






38. In this type of geometry the angles of a triangle add up to less than 180 degrees. In such a system - one has to replace the parallel postulate with a version that admits many parallel lines.






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






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






41. To describe and extend a numerical pattern






42. 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.






43. (a · b) · c = a · (b · c)






44. A · 1 = 1 · a = a






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






46. A · 1/a = 1/a · a = 1






47. 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






48. 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






49. Mathematical statement that equates two mathematical expressions.






50. This result relates conserved physical quantities - like conservation of energy - to continuous symmetries of spacetime.

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