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






2. A · 1 = 1 · a = a






3. 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






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






5. 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






6. 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.






7. A number is divisible by 2






8. GThe mathematical study of space. The geometry of a space goes hand in hand with how one defines the shortest distance between two points in that space.






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






10. If the sum of its digits is divisible by 9 (ex: 3591 is divisible by 9 since 3 + 5 + 9 + 1 = 18 is divisible by 9).






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






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






13. Perform all additions and subtractions in the order presented






14. This means that for any two magnitudes - one should always be able to find a fundamental unit that fits some whole number of times into each of them (i.e. - a unit whose magnitude is a whole number factor of each of the original magnitudes)






15. Mathematical statement that equates two mathematical expressions.






16. 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.






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. If a = b then






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






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

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21. 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.






22. 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






23. Negative






24. Are the fundamental building blocks of arithmetic.






25. Aka The Osculating Circle - a way to measure the curvature of a line.






26. If a = b then






27. 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.






28. 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.






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






30. 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.






31. 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






32. Means approximately equal.






33. Add and subtract






34. Solving Equations






35. Arise from the attempt to measure all quantities with a common unit of measure.






36. 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.






37. A






38. A · 1/a = 1/a · a = 1






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






40. 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 -






41. If a = b then






42. An arrangement where order matters.






43. A '___________' infinite set is one that can be put into one-to-one correspondence with the set of natural numbers.






44. In the expression 3






45. 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).






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






47. To describe and extend a numerical pattern






48. ____________ 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






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






50. 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.'