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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. Are the fundamental building blocks of arithmetic.






2. If grouping symbols are nested






3. 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 -






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






5. If its final digit is a 0.






6. The inverse of multiplication






7. When writing mathematical statements - follow the mantra:






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






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






10. 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






11. 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






12. A point in three-dimensional space requires three numbers to fix its location.






13. Add and subtract






14. 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.






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






16. (a






17. Trigonometric functions - such as sine and cosine - are useful for modeling sound waves - because they oscillate between values






18. Solving Equations






19. A + b = b + a






20. 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.






21. 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.






22. Index p radicand






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






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






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






26. Negative






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






28. If a is any whole number - then a






29. TA model of a sequence of random events. Each marble that passes through the system represents a trial consisting of as many random events as there are rows in the system.






30. 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.






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






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






33. 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






34. A · b = b · a






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

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36. 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






37. 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






38. You must let your readers know what each variable in your problem represents. This can be accomplished in a number of ways: Statements such as 'Let P represent the perimeter of the rectangle.' - Labeling unknown values with variables in a table - Lab






39. 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






40. This ubiquitous result describes the outcomes of many trials of events from a wide array of contexts. It says that most results cluster around the average with few results far above or far below average.






41. If a represents any whole number - then a






42. An instrument's _____ - the sound it produces - is a complex mixture of waves of different frequencies.






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






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






45. (a · b) · c = a · (b · c)






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






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






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






49. An arrangement where order matters.






50. If a = b then