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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. Non-Euclidean geometries abide by some - but not all of Euclid's five postulates.






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






3. A flat map of hyperbolic space.






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






5. 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.






6. × - ( )( ) - · - 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






7. Rules for Rounding - To round a number to a particular place - follow these steps:






8. 4 more than a certain number is 12






9. 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






10. 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






11. 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.






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






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






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






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






16. 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






17. The state of appearing unchanged.






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






19. 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






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






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






22. Has no factors other than 1 and itself






23. 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.






24. Mathematical statement that equates two mathematical expressions.






25. 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.






26. 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.






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






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






30. When writing mathematical statements - follow the mantra:






31. The inverse of multiplication






32. Requirements for Word Problem Solutions.






33. If a is any whole number - then a






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






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






36. Collection of objects. list all the objects in the set and enclosing the list in curly braces.






37. 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






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






39. 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.






40. Are the fundamental building blocks of arithmetic.






41. A sphere can be thought of as a stack of circular discs of increasing - then decreasing - radii. The process of slicing is one way to visualize higher-dimensional objects via level curves and surfaces. A hypersphere can be thought of as a 'stack' of






42. The expression a^m means a multiplied by itself m times. The number a is called the base of the exponential expression and the number m is called the exponent. The exponent m tells us to repeat the base a as a factor m times.






43. 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.






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






45. 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.






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






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






48. This result says that the symmetries of geometric objects can be expressed as groups of permutations.

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49. 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 -






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