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1 Page 1 of 10 Quiz 1 Prep v ( ) Question Question Details SPreCalc MI. [ ] List the elements of the given set that are natural numbers, integers, rational numbers, and irrational numbers. (Enter your answers as commaseparated lists.) ,, π, 13, 13,, 16, 3.14, 9 15 natural numbers 15 3 integers (c) rational numbers (d) irrational numbers 2. Question Details SPreCalc [ ] State the property of real numbers being used = Distributive Property Associative Property of Multiplication Commutative Property of Addition Commutative Property of Multiplication Associative Property of Addition 3. Question Details SPreCalc MI. [ ] Find the indicated set if given the following. (Enter your answer as a set. Enter EMPTY for the empty set.) A = {1, 2, 3, 4, 5, 6, 7} B = {2, 4, 6, 10} C = {7, 8, 9, 10} A B C A B C

2 Page 2 of Question Details SPreCalc [ ] Find the indicated set if given the following. A = {x x 9} B = {x x < 7} C = {x 1 < x 8} B C {x x < 8} {x x 8} {x 7 < x < 8} {x 7 x 8} all real numbers none of these B C {x 9 < x < 7} {x 9 x 7} {x 1 < x < 7} {x 1 x 7} all real numbers none of these

3 Page 3 of Question Details SPreCalc [ ] Express the inequality in interval notation. 2 x 7 Graph the corresponding interval. [2, 7]

4 Page 4 of Question Details SPreCalc [ ] Graph the set. (, 4] (0, 10) (0, 4] 7. Question Details SPreCalc MI. [ ] Find the distance between the given numbers Question Details SPreCalc MI. [ ] Evaluate each expression / /5 4/9 (c) /3 16/625

5 Page 5 of Question Details SPreCalc [ ] Simplify the expression. 3y 4 y 10. Question Details SPreCalc [ ] Simplify the expression and eliminate any negative exponent(s). s 3 t 2 3s 1 t xy 4 z 2 x 4 y 5 z Question Details SPreCalc MI. [ ] Simplify the expression. Assume x, y, and z denote any real numbers. x 8 y 4 z Question Details SPreCalc [ ] Simplify the expression and eliminate any negative exponent(s). Assume that all letters denote positive numbers. a 1/12 b 4 x 1 y 4 x 3 b 1 a 4/3 y 1/4 (4st) 3/2 2s 6 (8s 9 t 4 ) 2/3 3t 1/ Question Details SPreCalc [ ] Use scientific notation, the Laws of Exponents, and a calculator to perform the indicated operation. State your answer correct to the number of significant digits indicated by the given data. ( )( )

6 Page 6 of Question Details SPreCalc MI. [ ] Use scientific notation, the Laws of Exponents, and a calculator to perform the indicated operations. State your answer correct to the number of significant digits indicated by the given data. ( ) 6 ( ) Question Details SPreCalc [ ] Rationalize the denominator. 1 a a b 7 (c) 1 c 1/6 16. Question Details SPreCalc [ ] Multiply the algebraic expression using a Special Product Formula and simplify. + y 3 y Question Details SPreCalc [ ] Perform the indicated operations and simplify h h Question Details SPreCalc MI. [ ] Factor the trinomial. 2(a + b) 2 + 5(a + b) 3

7 Page 7 of Question Details SPreCalc [ ] Factor the expression completely. Begin by factoring out the lowest power of each common factor. x 1/2 (x + 2) 1/2 + x 1/2 (x + 2) 1/2 20. Question Details SPreCalc [ ] Factor the expression completely. x 2 16x Question Details SPreCalc [ ] Factor the expression completely. x Question Details SPreCalc MI. [ ] Factor the expression completely. (a 2 + 4a) 2 (a 2 + 4a) Question Details SPreCalc [ ] Factor the expression completely. (This type of expression arises in calculus when using the "Product Rule.") 1 2 x 1/2 (9x + 4) 1/2 9 x 1/2 (9x + 4) 1/ Question Details SPreCalc MI. [ ] Simplify the rational expression. 25 x 2 x 3 125

8 Page 8 of Question Details SPreCalc MI. [ ] Perform the multiplication or division and simplify. x 2 x 30 x 3 + x 2 x 2 + 5x x 2 5x Question Details SPreCalc MI. [ ] Perform the multiplication or division and simplify. 4y 2 9 2y + y 3 2y 2 + 3y 9 y 2 + 2y Question Details SPreCalc MI. [ ] Perform the multiplication or division and simplify. 2x 2 3x 2 x 2 1 2x 2 + 5x + 2 x 2 + x Question Details SPreCalc [ ] Perform the addition or subtraction and simplify x 2 x 2 + x 29. Question Details SPreCalc MI. [ ] Perform the addition or subtraction and simplify. x 7 x 2 + x 2 x 2 5x Question Details SPreCalc MI. [ ] Perform the addition or subtraction and simplify x + 1 (x + 1) 2 x 2 1

9 Page 9 of Question Details SPreCalc [ ] Simplify the compound fractional expression. 5x 1 + 5y 1 3(x + y) Question Details SPreCalc [ ] Simplify the fractional expression. (Expressions like this arise in calculus.) 1 + x 81 x Question Details SPreCalc MI. [ ] Simplify the expression. (This type of question arises in calculus when using the "quotient rule.") 6 5 1/ x 1/2 34. Question Details SPreCalc MI. [ ] Rationalize the denominator. 5(x y) x y 35. Question Details SPreCalc [ ] Rationalize the numerator. x h x x + h x + h 36. Question Details SPreCalc [ ] Solve the equation for the indicated variable. (Enter your answers as a commaseparated list.) i 2 A = 1 + ; for i 100 i =

10 Page 10 of Question Details SPreCalc [ ] Find all real solutions of the equation. (Enter your answers as a commaseparated list. If there is no real solution, enter NO REAL SOLUTION.) 3x + 7 = 5 x = 38. Question Details SPreCalc [ ] Solve the equation. (Enter your answers as a commaseparated list. If there is no real solution, enter NO REAL SOLUTION.) x 2 = 8 x = Assignment Details Name (AID): Quiz 1 Prep v ( ) Submissions Allowed: 6 Category: Homework Code: Locked: No Author: Dressler, James ( james.dressler@seattlecolleges.edu ) Last Saved: Apr 8, :10 PM PDT Permission: Protected Randomization: Different every time Which graded: Question Part Feedback Settings Before due date Question Score Assignment Score Publish Essay Scores Question Part Score Mark Add Practice Button Help/Hints Response Save Work After due date Question Score Assignment Score Publish Essay Scores Key Question Part Score Solution Mark Help/Hints Response

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