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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.
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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. 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.

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






3. Are called the domains of the operation






4. Can be expressed in the form ax^2 + bx + c = 0 - where a is not zero (if it were zero - then the equation would not be quadratic but linear).






5. Is called the type or arity of the operation






6. (a






7. k-ary operation is a






8. Can be defined axiomatically up to an isomorphism






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






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






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






12. In which abstract algebraic methods are used to study combinatorial questions.






13. 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.






14. Applies abstract algebra to the problems of geometry






15. Is an equation in which the unknowns are functions rather than simple quantities.






16. 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.






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






18. Is an equation involving integrals.






19. 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






20. often express relationships between given quantities - the knowns - and quantities yet to be determined - the unknowns.






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






22. Division ( / )






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






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






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






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






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






28. The operation of multiplication means _______________: a






29. If a < b and c < d






30. Is called the codomain of the operation






31. Is Written as ab or a^b






32. 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






33. If a < b and c > 0






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






35. 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).






36. Include the binary operations union and intersection and the unary operation of complementation.






37. 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.






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






39. Is an equation involving derivatives.






40. Logarithm (Log)






41. Is Written as a + b






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






43. An operation of arity k is called a






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






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






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






47. () 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.






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






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






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