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






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






3. The state of appearing unchanged.






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






5. 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.






6. Does not change the solution set. That is - if a = b - then dividing both sides of the equation by c produces the equivalent equation a/c = b/c - provided c = 0.






7. Multiplication is equivalent to






8. When writing mathematical statements - follow the mantra:






9. 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.






10. In some ways - the opposite of a multitude is a magnitude - which is ___________. In other words - there are no well defined partitions.






11. (a · b) · c = a · (b · c)






12. The fundamental theorem of arithmetic says that






13. Originally known as analysis situs






14. 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






15. Writing Mathematical equations - arrange your work one equation






16. A · b = b · a






17. In this type of geometry the angles of a triangle add up to less than 180 degrees. In such a system - one has to replace the parallel postulate with a version that admits many parallel lines.






18. In the expression 3






19. N = {1 - 2 - 3 - 4 - 5 - . . .}.






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






21. 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.'






22. If its final digit is a 0.






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

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24. Also known as gluing diagrams - are a convenient way to examine intrinsic topology.






25. Objects are topologically equivalent if they can be continuously deformed into one another. Properties that are preserved during this process are called topological invariants.






26. 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






27. (a






28. 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.






29. Perform all additions and subtractions in the order presented






30. To describe and extend a numerical pattern






31. Are the fundamental building blocks of arithmetic.






32. 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.'






33. A + 0 = 0 + a = a






34. 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.






35. Collection of objects. list all the objects in the set and enclosing the list in curly braces.






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






37. Some numbers make geometric shapes when arranged as a collection of dots - for example - 16 makes a square - and 10 makes a triangle.






38. The system that Euclid used in The Elements






39. 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 -






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






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






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






43. 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






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






45. If a is any whole number - then a






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






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






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






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






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