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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. An important part of problem solving is identifying






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






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






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






5. 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.






6. A · 1/a = 1/a · a = 1






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






8. (a · b) · c = a · (b · c)






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






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






11. 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.






12. 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.






13. Requirements for Word Problem Solutions.






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






15. If a is any whole number - then a






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






17. 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.






18. 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






19. Some favor repeatedly dividing by 2 until the result is no longer divisible by 2. Then try repeatedly dividing by the next prime until the result is no longer divisible by that prime. The process terminates when the last resulting quotient is equal t






20. Every solution to a word problem must include a carefully crafted equation that accurately describes the constraints in the problem statement.






21. Negative






22. To describe and extend a numerical pattern






23. 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






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






25. 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






26. A + 0 = 0 + a = a






27. 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.






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






29. The fundamental theorem of arithmetic says that






30. The study of shape from an external perspective.






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






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






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






34. Are the fundamental building blocks of arithmetic.






35. 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.






36. 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).






37. 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.






38. Instruments produce notes that have a fundamental frequency in combination with multiples of that frequency known as partials or overtones






39. When writing mathematical statements - follow the mantra:






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






41. Writing Mathematical equations - arrange your work one equation






42. The answer to the question of why the primes occur where they do on the number line has eluded mathematicians for centuries. Gauss's Prime Number Theorem is perhaps one of the most famous attempts to find the 'pattern behind the primes.'






43. If grouping symbols are nested






44. 4 more than a certain number is 12






45. The state of appearing unchanged.






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






47. Our standard notions of Pythagorean distance and angle via the inner product extend quite nicely from three-space.






48. 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.






49. (a + b) + c = a + (b + c)






50. If a represents any whole number - then a