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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. When writing mathematical statements - follow the mantra:






2. Solving Equations






3. 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.






4. (a · b) · c = a · (b · c)






5. 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.'






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






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






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






9. 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






10. Positive integers are






11. This method can create a flat map from a curved surface while preserving all angles in any features present.






12. In the expression 3






13. If a is any whole number - then a






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






15. Is the shortest string that contains all possible permutations of a particular length from a given set.






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






17. Originally known as analysis situs






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






19. An object possessing continuous symmetries can remain invariant while one symmetry is turned into another. A circle is an example of an object with continuous symmetries.






20. A + (-a) = (-a) + a = 0






21. An arrangement where order matters.






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






23. To describe and extend a numerical pattern






24. 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.






25. Three is the common property of the group of sets containing three members. This idea is called '__________ -' which is a synonym for 'size.' The set {a -b -c} is a representative set of the cardinal number 3.






26. A number is divisible by 2






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






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






29. 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 -






30. When comparing two whole numbers a and b - only one of three possibilities is true: a < b or a = b or a > b.






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






32. Writing Mathematical equations - arrange your work one equation






33. 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 -






34. Negative






35. 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






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

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37. 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






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






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






40. 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






41. Requirements for Word Problem Solutions.






42. 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






43. Original Balance minus River Tam's Withdrawal is Current Balance






44. A · 1 = 1 · a = a






45. 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






46. A · b = b · a






47. The fundamental theorem of arithmetic says that






48. This step is easily overlooked. For example - the problem might ask for Jane's age - but your equation's solution gives the age of Jane's sister Liz. Make sure you answer the original question asked in the problem. Your solution should be written in






49. 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.






50. Perform all additions and subtractions in the order presented