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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. 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






2. 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).






3. Mathematical statement that equates two mathematical expressions.






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






5. 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.






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






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






8. The inverse of multiplication






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






10. 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.






11. Is a path that visits every node in a graph and ends where it began.






12. The state of appearing unchanged.






13. 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.






14. 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






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






16. Multiplication is equivalent to






17. 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.






18. 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






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






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






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






22. 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






23. × - ( )( ) - · - 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






24. Perform all additions and subtractions in the order presented






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






26. 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)






27. Has no factors other than 1 and itself






28. (a






29. 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.






30. A + b = b + a






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






32. A + 0 = 0 + a = a






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






34. 1. Any two points can be joined by a straight line. 2. Any straight line segment can be extended indefinitely in a straight line. 3. Given any straight line segment - a circle can be drawn having the segment as radius and one endpoint as center. 4. A


35. A graph in which every node is connected to every other node is called a complete graph.






36. Three is the common property of the group of sets containing three members. This idea is called '__________ -' which is a synonym for 'size.' The set {a -b -c} is a representative set of the cardinal number 3.






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






38. All integers are thus divided into three classes:






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






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






41. Requirements for Word Problem Solutions.






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






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






44. If a = b then






45. 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.






46. Writing Mathematical equations - arrange your work one equation






47. In the expression 3






48. Positive integers are






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






50. Let a - b - and c be any whole numbers. Then - a