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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 the branch of mathematics concerning the study of the rules of operations and relations - and the constructions and concepts arising from them - including terms - polynomials - equations and algebraic structures.






2. An example of solving a system of linear equations is by using the elimination method: Multiplying the terms in the second equation by 2: Adding the two equations together to get: which simplifies to Since the fact that x = 2 is known - it is then po






3. Two equations in two variables - it is often possible to find the solutions of both variables that satisfy both equations.






4. Is a basic technique used to simplify problems in which the original variables are replaced with new ones; the new and old variables being related in some specified way.






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






6. An equivalent for y can be deduced by using one of the two equations. Using the second equation: Subtracting 2x from each side of the equation: and multiplying by -1: Using this y value in the first equation in the original system: Adding 2 on each s






7. Reflexive: b = b; symmetric: if a = b then b = a; transitive: if a = b and b = c then a = c.






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






9. Elementary algebra - Abstract algebra - Linear algebra - Universal algebra - Algebraic number theory - Algebraic geometry - Algebraic combinatorics






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






11. The values combined are called






12. A vector can be multiplied by a scalar to form another vector






13. Is called the codomain of the operation






14. Is an action or procedure which produces a new value from one or more input values.






15. Is an assignment of values to all the unknowns so that all of the equations are true. also called set simultaneous equations.






16. Is Written as ab or a^b






17. A unary operation






18. Real numbers can be thought of as points on an infinitely long line where the points corresponding to integers are equally spaced called the






19. 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.






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






21. Is an equation involving derivatives.






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






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






24. Are true for only some values of the involved variables: x2 - 1 = 4.






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






26. Is algebraic equation of degree one






27. An operation of arity k is called a






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






29. In which properties common to all algebraic structures are studied






30. b = b






31. A binary operation






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






33. Is an equation of the form X^m/n = a - for m - n integers - which has solution






34. The value produced is called






35. 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'.






36. Subtraction ( - )






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






38. A value that represents a quantity along a continuum - such as -5 (an integer) - 4/3 (a rational number that is not an integer) - 8.6 (a rational number given by a finite decimal representation) - v2 (the square root of two - an algebraic number that






39. Can be combined using logic operations - such as and - or - and not.






40. k-ary operation is a






41. Sometimes also called modern algebra - in which algebraic structures such as groups - rings and fields are axiomatically defined and investigated.






42. The values of the variables which make the equation true are the solutions of the equation and can be found through






43. 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.






44. There are two common types of operations:






45. The operation of exponentiation means ________________: a^n = a






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






47. Means repeated addition of ones: a + n = a + 1 + 1 +...+ 1 (n number of times) - has an inverse operation called subtraction: (a + b) - b = a - which is the same as adding a negative number - a - b = a + (-b)






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






49. Applies abstract algebra to the problems of geometry






50. If a < b and c < 0







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