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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. The process of expressing the unknowns in terms of the knowns is called






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






3. 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.


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. Operations can have fewer or more than






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






7. (a






8. A unary operation






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






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






11. Is Written as a






12. k-ary operation is a






13. The operation of multiplication means _______________: a






14. Is an equation involving integrals.






15. Division ( / )






16. Not associative






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






18. The value produced is called






19. The squaring operation only produces






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






21. 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






22. 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)






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






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






25. The values combined are called






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






27. 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).






28. May not be defined for every possible value.






29. Some equations are true for all values of the involved variables (such as a + b = b + a); such equations are called






30. Logarithm (Log)






31. Is Written as ab or a^b






32. If a < b and c < d






33. 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






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






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






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






37. A






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






39. b = b






40. Implies that the domain of the function is a power of the codomain (i.e. the Cartesian product of one or more copies of the codomain)






41. If a < b and c > 0






42. The inner product operation on two vectors produces a






43. 0 - which preserves numbers: a + 0 = a






44. Applies abstract algebra to the problems of geometry






45. Algebra comes from Arabic al-jebr meaning '______________'. Studies the effects of adding and multiplying numbers - variables - and polynomials - along with their factorization and determining their roots. Works directly with numbers. Also covers sym






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






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






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






49. Is an equation involving derivatives.






50. Is called the codomain of the operation