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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 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 -






2. 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.






3. A number is divisible by 2






4. 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






5. Positive integers are






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






7. Are the fundamental building blocks of arithmetic.






8. (a






9. Uses second derivatives to relate acceleration in space to acceleration in time.






10. 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.






11. A






12. Used to display measurements. The measurement was taken is placed on the horizontal axis - and the height of each bar equals the amount during that year.






13. If grouping symbols are nested






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






15. 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






16. Codifies the 'average behavior' of a random event and is a key concept in the application of probability.






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






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






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






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






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






22. 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.






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






24. If a = b then






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






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






27. An arrangement where order matters.






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






29. This famous - as yet unproven - result relates to the distribution of prime numbers on the number line.






30. Dimension is how mathematicians express the idea of degrees of freedom






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






32. This ubiquitous result describes the outcomes of many trials of events from a wide array of contexts. It says that most results cluster around the average with few results far above or far below average.






33. The inverse of multiplication






34. 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






35. ____________ 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






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






37. A way to analyze sequences of events where the outcomes of prior events affect the probability of outcomes of subsequent events.






38. 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.






39. × - ( )( ) - · - 1. Multiply the numbers (ignoring the signs)2. The answer is positive if they have the same signs. 3. The answer is negative if they have different signs. 4. Alternatively - count the amount of negative numbers. If there are an even






40. 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






41. The study of shape from an external perspective.






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






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






44. Every solution to a word problem must include a carefully crafted equation that accurately describes the constraints in the problem statement.






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. 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






47. 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.






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






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. 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.