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






2. 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






3. An important part of problem solving is identifying






4. A group is just a collection of objects (i.e. - elements in a set) that obey a few rules when combined or composed by an operation. In order for a set to be considered a group under a certain operation - each element must have an inverse - the set mu






5. This area of mathematics relates symmetry to whether or not an equation has a 'simple' solution.






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






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






8. 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.






9. A topological invariant that relates a surface's vertices - edges - and faces.






10. Division by zero is undefined. Each of the expressions 6






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






12. 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 -






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






14. Multiplication is equivalent to






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






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






17. (a · b) · c = a · (b · c)






18. A flat map of hyperbolic space.






19. Requirements for Word Problem Solutions.






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






21. A number is divisible by 2






22. The four-dimensional analog of the cube - square - and line segment. A hypercube is formed by taking a 3-D cube - pushing a copy of it into the fourth dimension - and connecting it with cubes. Envisioning this object in lower dimensions requires that






23. This important result says that every natural number greater than one can be expressed as a product of primes in exactly one way.






24. If a = b then






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






26. Cannot be written as a ratio of natural numbers.






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






28. 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






29. 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






30. If a = b then






31. 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






32. Are the fundamental building blocks of arithmetic.






33. In a mathematical sense - it is a transformation that leaves an object invariant. Symmetry is perhaps most familiar as an artistic or aesthetic concept. Designs are said to be symmetric if they exhibit specific kinds of balance - repetition - and/or






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






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






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






37. 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






38. 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.'






39. 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.






40. Use parentheses - brackets - or curly braces to delimit the part of an expression you want evaluated first.






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






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






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






44. 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.






45. In the expression 3






46. This result says that the symmetries of geometric objects can be expressed as groups of permutations.

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47. Solving Equations






48. A · 1/a = 1/a · a = 1






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






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