## Test your basic knowledge |

# CLEP College Algebra: Algebra Principles

**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. The values combined are called**

**3. If a < b and b < c**

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

**5. In which the properties of numbers are studied through algebraic systems. Number theory inspired much of the original abstraction in algebra.**

**6. Is called the type or arity of the operation**

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

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

**9. Operations can have fewer or more than**

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

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

**12. Include composition and convolution**

**13. A + b = b + a**

**14. Is called the codomain of the operation**

**15. Division ( / )**

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

**17. Is algebraic equation of degree one**

**18. (a + b) + c = a + (b + c)**

**19. 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)**

**20. If a < b and c > 0**

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

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

**23. Introduces the concept of variables representing numbers. Statements based on these variables are manipulated using the rules of operations that apply to numbers - such as addition. This can be done for a variety of reasons - including equation solvi**

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

**25. The squaring operation only produces**

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

**27. Is a basic technique used to simplify problems in which the original variables are replaced with new ones; the new and old variables being related in some specified way.**

**28. The inner product operation on two vectors produces a**

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

**30. Subtraction ( - )**

**31. If a < b and c < d**

**32. Is Written as a**

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

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

**35. Is an equation involving integrals.**

**36. 0 - which preserves numbers: a + 0 = a**

**37. 1 - which preserves numbers: a^1 = a**

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

**39. The values of the variables which make the equation true are the solutions of the equation and can be found through**

**40. The codomain is the set of real numbers but the range is the**

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

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

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

**44. An operation of arity k is called a**

**45. The value produced is called**

**46. 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.**

**47. 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)**

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

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

**50. A binary operation**