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






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






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






4. The value produced is called






5. The values combined are called






6. Logarithm (Log)






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






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






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






10. Is Written as ab or a^b






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






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






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






14. Not commutative a^b?b^a






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






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






17. If a < b and c < 0






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






19. Can be added and subtracted.






20. If a = b and b = c then a = c






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






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






23. 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






24. 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.






25. 0 - which preserves numbers: a + 0 = a






26. If a < b and c < d






27. A unary operation






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






29. 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






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






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






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






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






34. 1 - which preserves numbers: a






35. Not associative






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






37. A + b = b + a






38. If it holds for all a and b in X that if a is related to b then b is related to a.






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






40. 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.






41. The inner product operation on two vectors produces a






42. An operation of arity k is called a






43. 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.






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






45. Division ( / )






46. 1 - which preserves numbers: a^1 = a






47. Is Written as a






48. 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.






49. Are called the domains of the operation






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