Test your basic knowledge |

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. × - ( )( ) - · - 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






2. Mathematical statement that equates two mathematical expressions.






3. If a = b then






4. 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.






5. 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 -






6. (a · b) · c = a · (b · c)






7. Add and subtract






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






9. (a






10. The amount of displacement - as measured from the still surface line.






11. ____________ 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






12. If its final digit is a 0.






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






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






15. 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






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






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






18. A flat map of hyperbolic space.






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






20. 1. Any two points can be joined by a straight line. 2. Any straight line segment can be extended indefinitely in a straight line. 3. Given any straight line segment - a circle can be drawn having the segment as radius and one endpoint as center. 4. A

Warning: Invalid argument supplied for foreach() in /var/www/html/basicversity.com/show_quiz.php on line 183


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






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






23. 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






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






25. The state of appearing unchanged.






26. 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






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






28. Negative






29. 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






30. Index p radicand






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






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






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






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






35. If a = b then






36. Writing Mathematical equations - arrange your work one equation






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






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






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






40. If a is any whole number - then a






41. Originally known as analysis situs






42. Let a and b be whole numbers. Then a is _______________ by b if and only if the remainder is zero when a is divided by b. In this case - we say that 'b is a divisor of a.'






43. When writing mathematical statements - follow the mantra:






44. 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).






45. Cantor called the cardinality of all the sets that can be put into one-to-one correspondence with the counting numbers - or 'Aleph Null.'






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






47. A · b = b · a






48. Multiplication is equivalent to






49. 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.






50. 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