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CLEP College Algebra: Algebra Principles

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. Is to add - subtract - multiply - or divide both sides of the equation by the same number in order to isolate the variable on one side of the equation. Once the variable is isolated - the other side of the equation is the value of the variable.






2. using factorization (the reverse process of which is expansion - but for two linear terms is sometimes denoted foiling).






3. The process of expressing the unknowns in terms of the knowns is called






4. If a < b and c < 0






5. That if a = b and c = d then a + c = b + d and ac = bd;that if a = b then a + c = b + c; that if two symbols are equal - then one can be substituted for the other.






6. Can be defined axiomatically up to an isomorphism






7. Referring to the finite number of arguments (the value k)






8. If an equation in algebra is known to be true - the following operations may be used to produce another true equation:






9. If a < b and c < d






10. Is synonymous with function - map and mapping - that is - a relation - for which each element of the domain (input set) is associated with exactly one element of the codomain (set of possible outputs).






11. A distinction is made between the equality sign ( = ) for an equation and the equivalence symbol () for an






12. Parenthesis and other grouping symbols including brackets - absolute value symbols - and the fraction bar - exponents and roots - multiplication and division - addition and subtraction






13. Subtraction ( - )






14. The relation of equality (=) is...reflexive: b = b; symmetric: if a = b then b = a; transitive: if a = b and b = c then a = c.






15. The values for which an operation is defined form a set called its






16. Is a binary relation on a set for which every element is related to itself - i.e. - a relation ~ on S where x~x holds true for every x in S. For example - ~ could be 'is equal to'.






17. Is a way of solving a functional equation of two polynomials for a number of unknown parameters. It relies on the fact that two polynomials are identical precisely when all corresponding coefficients are equal. The method is used to bring formulas in






18. Is an equation involving only algebraic expressions in the unknowns. These are further classified by degree.






19. Is an equation of the form aX = b for a > 0 - which has solution






20. If a < b and b < c






21. Logarithm (Log)






22. Are linear equations that have only one variable. They contain only constant numbers and a single variable without an exponent. For example:






23. Include composition and convolution






24. Can be combined using the function composition operation - performing the first rotation and then the second.






25. Not commutative a^b?b^a






26. An operation of arity zero is simply an element of the codomain Y - called a






27. Is an equation where the unknowns are required to be integers.






28. The squaring operation only produces






29. Involve only one value - such as negation and trigonometric functions.






30. Is an equation in which a polynomial is set equal to another polynomial.






31. Are denoted by letters at the end of the alphabet - x - y - z - w - ...






32. Together with geometry - analysis - topology - combinatorics - and number theory - algebra is one of the main branches of






33. Is an equation involving a transcendental function of one of its variables.






34. 0 - which preserves numbers: a + 0 = a






35. Take two values - and include addition - subtraction - multiplication - division - and exponentiation.






36. Applies abstract algebra to the problems of geometry






37. The inner product operation on two vectors produces a






38. Is an equation involving derivatives.






39. May contain numbers - variables and arithmetical operations. These are conventionally written with 'higher-power' terms on the left






40. Is an algebraic 'sentence' containing an unknown quantity.






41. The set which contains the values produced is called the codomain - but the set of actual values attained by the operation is its






42. Is a squared (multiplied by itself) number subtracted from another squared number. It refers to the identity






43. The codomain is the set of real numbers but the range is the






44. Is an equation of the form log`a^X = b for a > 0 - which has solution






45. Symbols that denote numbers - is to allow the making of generalizations in mathematics






46. (a






47. Symbols that denote numbers - letters from the end of the alphabet - like ...x - y - z - are usually reserved for the






48. In which the properties of numbers are studied through algebraic systems. Number theory inspired much of the original abstraction in algebra.






49. Is algebraic equation of degree one






50. A mathematical statement that asserts the equality of two expressions - this is written by placing the expressions on either side of an equals sign (=).






Can you answer 50 questions in 15 minutes?



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