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






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






3. Is Written as a + b






4. 1 - which preserves numbers: a^1 = a






5. There are two common types of operations:






6. b = b






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






8. Is Written as ab or a^b






9. If a < b and c < d






10. In an equation with a single unknown - a value of that unknown for which the equation is true is called






11. The squaring operation only produces






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






13. 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.






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






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






16. Is an equation involving derivatives.






17. A + b = b + a






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






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






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






21. Letters from the beginning of the alphabet like a - b - c... often denote






22. Is an equation involving integrals.






23. An operation of arity k is called a






24. If a < b and b < c






25. A






26. Are denoted by letters at the beginning - a - b - c - d - ...






27. 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)






28. 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






29. 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'.






30. Is called the codomain of the operation






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






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






33. Operations can have fewer or more than






34. Transivity: if a < b and b < c then a < c; that if a < b and c < d then a + c < b + d; that if a < b and c > 0 then ac < bc; that if a < b and c < 0 then bc < ac.






35. 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






36. The value produced is called






37. Will have two solutions in the complex number system - but need not have any in the real number system.






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






39. In which the specific properties of vector spaces are studied (including matrices)






40. Is called the type or arity of the operation






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






42. 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).






43. 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.






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






45. k-ary operation is a






46. () 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.






47. The values combined are called






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






49. 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






50. A binary operation