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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. Perform all additions and subtractions in the order presented






2. 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.






3. In the expression 3






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






6. If a = b then






7. 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.'






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






9. 4 more than a certain number is 12






10. 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.'






11. Multiplication is equivalent to






12. 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.






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






14. Mathematical statement that equates two mathematical expressions.






15. A






16. 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.






17. 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






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






19. Is a symbol (usually a letter) that stands for a value that may vary.






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






21. Aka The Osculating Circle - a way to measure the curvature of a line.






22. 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.






23. The study of shape from the perspective of being on the surface of the shape.






24. A · 1/a = 1/a · a = 1






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






26. Because of the associate property of addition - when presented with a sum of three numbers - whether you start by adding the first two numbers or the last two numbers - the resulting sum is






27. The distribution of averages of many trials is always normal - even if the distribution of each trial is not.






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






29. If a = b then






30. The study of shape from an external perspective.






31. 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.






32. In this type of geometry the angles of a triangle add up to more than 180 degrees. In such a system - one has to replace the parallel postulate with a version that admits no parallel lines as well as modify Euclid's first two postulates.






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






34. The system that Euclid used in The Elements






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






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






37. Solving Equations






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






39. 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

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40. If a represents any whole number - then a






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






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






43. Has no factors other than 1 and itself






44. × - ( )( ) - · - 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






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






46. If grouping symbols are nested






47. (a · b) · c = a · (b · c)






48. 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.






49. A + 0 = 0 + a = a






50. The expression a/b means