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






2. Can be added and subtracted.






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






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






5. 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).






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






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






8. Is Written as ab or a^b






9. 0 - which preserves numbers: a + 0 = a






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






11. () 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.






12. Is algebraic equation of degree one






13. Not commutative a^b?b^a






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






15. The squaring operation only produces






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






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






18. Is the claim that two expressions have the same value and are equal.






19. 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.






20. Is called the codomain of the operation






21. The inner product operation on two vectors produces a






22. 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'.






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






24. A + b = b + a






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






26. 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






27. If a < b and c < 0






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






29. Is called the type or arity of the operation






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






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






32. The values combined are called






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






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






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






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






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






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






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






40. 1 - which preserves numbers: a






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






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






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






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






45. 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.






46. Not associative






47. Applies abstract algebra to the problems of geometry






48. Is an equation involving derivatives.






49. (a






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






Can you answer 50 questions in 15 minutes?



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