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






2. A · 1 = 1 · a = a






3. 1. Parentheses (or any grouping symbol {braces} - [square brackets] - |absolute value|)

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4. 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.






5. Means approximately equal.






6. Einstein's famous theory - relates gravity to the curvature of spacetime.






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






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






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






10. 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






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






12. 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.






13. Are the fundamental building blocks of arithmetic.






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






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






16. A point in four-space - also known as 4-D space - requires four numbers to fix its position. Four-space has a fourth independent direction - described by 'ana' and 'kata.'






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






18. 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






19. Perform all additions and subtractions in the order presented






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






21. 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.






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






23. 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.'






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






25. Reveals why we tend to find structure in seemingly random sets. Ramsey numbers indicate how big a set must be to guarantee the existence of certain minimal structures.






26. If a and b are any whole numbers - then a






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






28. Index p radicand






29. 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






30. Says that when a random process - such as dropping marbles through a Galton board - is repeated many times - the frequencies of the observed outcomes get increasingly closer to the theoretical probabilities.






31. If a = b then






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






33. 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






34. 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).






35. The inverse of multiplication






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






37. If a represents any whole number - then a






38. 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.






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






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






41. If a = b then






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






43. 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.






44. An instrument's _____ - the sound it produces - is a complex mixture of waves of different frequencies.






45. Points in two-dimensional space require two numbers to specify them completely. The Cartesian plane is a good way to envision two-dimensional space.






46. An important part of problem solving is identifying






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






48. The study of shape from an external perspective.






49. If a whole number is not a prime number - then it is called a...






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