MATH 830/GRACEY EXAM 3 PRACTICE/CHAPTER 4. MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.

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1 MATH 830/GRACEY EXAM 3 PRACTICE/CHAPTER Name MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Solve the sstem b the addition method. If there is no solution or an infinite number of solutions, so state. 1) + = = 3 A) {(, )} B) {(3, 3)} C)no solution; D) {(-, )} 1) ) + 1 = -3 ) 3-1 = - 7 A) no solution; B) {(-1, 3)} C){(-, )} D) {(, 3)} 3) + = 7 + = -8 A) {(0, 0)} B) {(7, -8)} C)no solution; D) {(0,-1)} 3) ) 3 - = = -0 A) no solution; B) {(3, 5)} C){(3, )} D) 5, ) 5) + = = 8 A) {(-, 0)} B) {(1, 3)} C)no solution; D) {(0, )} 5) ) + = = 0 A) {(5, 0)} B) infinite number of solutions; {(, ) + = 10} or {(, ) 8 + = 0} C)no solution; D) {(0, 10)} ) 7) + 1 = = 5 A) {(-9, 9)} B) {(9, -9)} C){(-, 9)} D) {(10,-10)} 7) 8) + = 5 - = -11 A) no solution; B) {(-3, 8)} C){(3, 9)} D) {(-, 9)} 8) 1

2 9) - 3 = 3 - = 9) A) - 5, 5 B) no solution; C) 5,- 5 D) infinite number of solutions; {(, ) - 3 = } or {(, ) 3 - = } 10) + 5 = + 19 = + 8 A) {(7, 5)} B) infinite number of solutions; (, ) + 5 C){(5, 7)} D) no solution; = + 19 or (, ) = ) 11) -5 + = - 8 = A) no solution; B) {(-5, )} C){(0,0)} D) infinite number of solutions; {(, ) -5 + = -} or {(, ) 8 = } 11) 1) + 9 = = -7 A) {(, -)} B) {(3, -3)} C){(3, -)} D) no solution; 1) Solve the sstem b graphing. If there is no solution or an infinite number of solutions, so state. 13) - = = ) A) {(1, 1)} B) {(-1.5, -1)} C)no solution; D) infinite number of solutions; {(, ) - = } or {(, ) = + 1}

3 1) = 0 = - 1) A) no solution; B) infinite number of solutions; {(, ) = -} or {(, ) = 0} C){(0, -)} D) {(-, 0)} 15) + = 3 + = 15) A) infinite number of solutions; {(, ) + = 3} or {(, ) + = } 3 B), 0 C) 3, 0 D) no solution; 3

4 1) = - + = 1) A) {(1, 1)} B) {(1, 5)} C)no solution; D) infinite number of solutions; {(, ) + = } or {(, ) = -} Solve the sstem b graphing. 17) + = -1 - = ) A) no solution; B) {(-3, )} C){(, -3)} D) {(, 3)} 18) 5 + = = 15 18) A) {(5, )} B) {(-5, -)} C){(-5, )} D) {(-3, -)}

5 19) + = = 5 19) A) {(0, -5)} B) {(-5, -)} C){(-5, 5)} D) {(5, 5)} 0) = 5 = -3 0) A) {(-3, 5)} B) no solution; C){(5, -3)} D) infinite number of solutions; {(, ) = 5} or {(, ) = -3} 1) = 0 1) = A) {(-, -)} B) {(, -)} C)no solution; D) {(, )} 5

6 ) = 1 ) = A) {(0, 3)} B) {(3, 1)} C){(3, 0)} D) 3, 3 Solve the sstem b the substitution method. If there is no solution or an infinite number of solutions, so state. 3) = - 3) + = A) no solution; B) {(1, 5)} C){(1, 1)} D) infinite number of solutions; {(, ) + = } or {(, ) = -} ) = - 7 = 5 - A) infinite number of solutions; {(, ) = - 7} or {(, ) = 5 - } B) - 3 3, C) - 1 3, D) no solution; 5) + = = 5 A) no solution; B) {(0, 15)} C)infinite number of solutions; {(, ) + = 15} or {(, ) = 5} D) {(5, -5)} ) 5) ) = = A) no solution; B) infinite number of solutions; {(, ) = } or {(, ) = } C){(3.3, 1.3)} D) {(-3.3, 1.3)} )

7 7) - 9 = + 7 = A) {(9, 7)} B) no solution; C){(7, 9)} D) infinite number of solutions; {(, ) - 9 = } or {(, ) + 7 = } 7) 8) + = -5 - = 1 A) 5, 9 B) 9, 19 C) 5, - 19 D) 9, ) 9) + = 8 = 3 A) {(, -)} B) {(-, )} C){(-, -)} D) {(, )} 9) 30) + 9 = = -1 A) {(-1, -3)} B) no solution; C){(1, -)} D) {(-, -)} 30) 31) - 5 = - - = -1 A) {(-, 0)} B) {(, -1)} C)no solution; D) {(-5, -)} 31) Solve the problem. 3) An electronics compan kept comparative statistics on two products, A and B. For the ears 1980 to 1988, the total number of Product A ever sold (in thousands) is given b the equation = , where is the number of ears since For that same period, the total number of Product B ever sold (in thousands) is given b the equation = , where is the number of ears since Use the substitution method to solve the sstem and choose the statement that most accuratel describes the solution. A) At about 1. ears (to the nearest tenth) from 1980, both products had sold the same amount. B) At some point between 1980 and 1988, both products had sold 100 each. C)When 385,000 of Product A had been sold, Product B had sold 1. times as man. D) Product B sold 1. times as man as Product A. 3) 33) Ms. Adams received a bonus check for $15,000. She decided to divide the mone among three different investments. With some of the mone, she purchased a municipal bond paing 5.8% simple interest. She invested twice the amount she paid for the municipal bond in a certificate of deposit paing.% simple interest. Ms. Adams placed the balance of the mone in a mone market account paing 3.8% simple interest. If Ms. Adams' total interest for one ear was $1, how much was placed in each account? A) municipal bond: $150 certificate of deposit: $500 mone market: $11,50 C) municipal bond: $000 certificate of deposit: $000 mone market: $9000 B) municipal bond: $1000 certificate of deposit: $000 mone market: $1,000 D) municipal bond: $1500 certificate of deposit: $3000 mone market: $10,500 33) 7

8 3) Jimm is a partner in an Internet-based coffee supplier.the compan offers gourmet coffee beans for $1 per pound and regular coffee beans for $ per pound. Jimm is creating a medium-price product that will sell for $ per pound.the first thing to go into the miing bin was 1 pounds of the gourmet beans. How man pounds of the less epensive regular beans should be added? A) 50 pounds B) 9 pounds C)8 pounds D) 7 pounds 3) 35) Jarod is having a problem with rabbits getting into his vegetable garden, so he decides to fence it in. The length of the garden is 8 feet more than 5 times the width. He needs 100 feet of fencing to do the job. Find the length and width of the garden. 35) A) length: 8 feet; width: 8 feet B) length: 8 3 feet; width: feet C)length: 38 feet; width: feet D) length: 3 feet; width: 7 feet 3) Julie and Eric row their boat (at a constant speed) 3 miles downstream for hours, helped b the current. Rowing at the same rate, the trip back against the current takes 8 hours. Find the rate of the current. A) 3 mph B) mph C)1.5 mph D) mph 3) 37) Jamil alwas throws loose change into a pencil holder on his desk and takes it out ever two weeks. This time it is all nickels and dimes. There are 5 times as man dimes as nickels, and the value of the dimes is $1.80 more than the value of the nickels. How man nickels and dimes does Jamil have? A) nickels and 0 dimes B) 3 nickels and 15 dimes C)5 nickels and 5 dimes D) 0 nickels and dimes 37) 38) The three angles in a triangle alwas add up to 180. If one angle in a triangle is 8 and the second is 5 times the third, what are the three angles? A) 8, 78, 18 B) 8, 80, 1 C)8, 81, 15 D) 8, 79, 17 38) 39) A store sells tents, sleeping bags, and camp stools. A customer bus a tent, 5 sleeping bags, and camp stools for $313. The price of the tent is 7 times the cost of a camp stool. The cost of a sleeping bag is $3 more than the cost of a camp stool. Find the cost of each item. A) $9 for a tent; $55 for a sleeping bag; $1 for a camp stool B) $9 for a tent; $50 for a sleeping bag; $7 for a camp stool C)$9 for a tent; $50 for a sleeping bag; $8 for a camp stool D) $5 for a tent; $50 for a sleeping bag; $8 for a camp stool 39) 0) A twin-engined aircraft can fl 50 miles from cit A to cit B in 3 hours with the wind and make the return trip in hours against the wind. What is the speed of the wind? A) 75 mph B) 5 mph C)0 mph D) 30 mph 0) 1) A retired couple has $10,000 to invest to obtain annual income. The want some of it invested in safe Certificates of Deposit ielding 5%. The rest the want to invest in AA bonds ielding 11% per ear. How much should the invest in each to realize eactl $11,800 per ear? A) $70,000 at 5% and $70,000 at 11% B) $90,000 at 11% and $50,000 at 5% C)$80,000 at 11% and $0,000 at 5% D) $80,000 at 5% and $0,000 at 11% 1) 8

9 ) On a buing trip in Los Angeles, Rosaria Perez ordered 10 pieces of jewelr: a number of bracelets at $9 each and a number of necklaces at $1 each. She wrote a check for $1180 to pa for the order. How man bracelets and how man necklaces did Rosaria purchase? A) 105 bracelets and 15 necklaces B) 100 bracelets and 0 necklaces C) 110 bracelets and 10 necklaces D) 95 bracelets and 5 necklaces ) 3) Devon purchased tickets to an air show for 9 adults and children. The total cost was $19. The cost of a child's ticket was $8 less than the cost of an adult's ticket. Find the price of an adult's ticket and a child's ticket. A) adult's ticket: $1; child's ticket: $8 B) adult's ticket: $15; child's ticket: $7 C) adult's ticket: $17; child's ticket: $9 D) adult's ticket: $1; child's ticket: $ 3) ) A tour group split into two groups when waiting in line for food at a fast food counter. The first group bought 7 slices of pizza and 5 soft drinks for $ The second group bought slices of pizza and soft drinks for $ How much does one slice of pizza cost? A) $.89 per slice of pizza B) $1.1 per slice of pizza C)$3.39 per slice of pizza D) $.11 per slice of pizza 5) Megan is having her ard landscaped. She obtained an estimate from two landscaping companies. Compan A gave an estimate of $10 for materials and equipment rental plus $0 per hour for labor. Compan B gave an estimate of $85 for materials and equipment rental plus $5 per hour for labor. We can represent this situation with the sstem of linear equations c = Compan A c = Compan B where c is the total cost and is the number of hours of labor. Graph the sstem. What is the -coordinate of the intersection point of the graphs? Describe what this -coordinate means in practical terms. ) 5) c Total Cost (dollars) Hours of Labor A) 8; for 8 hours of labor, both companies charge the same. B) ; there is a number of hours of labor, for which both companies charge $00. C); for hours of labor, both companies charge the same. D) 5; for 5 hours of labor, both companies charge the same. ) Doreen and Irena plan to leave their houses at the same time, roller blade towards each other, and meet for lunch after hours on the road. Doreen can maintain a speed of 9.9 miles per hour, which is 90% of Irena's speed. If the meet eactl as planned, what is the distance between their houses? A) miles B) 75. miles C) 39. miles D) 83. miles ) 9

10 7) One number is 3 less than a second number. Twice the second number is 1 less than times the first. Find the two numbers. A) 10 and 13 B) -1 and -11 C)11 and 1 D) 1 and 15 7) 8) A vendor sells hot dogs and bags of potato chips. A customer bus 5 hot dogs and 3 bags of potato chips for $13.5. Another customer bus 3 hot dogs and bags of potato chips for $11.5. Find the cost of each item. A) $.00 for a hot dog; $1.75 for a bag of potato chips B) $1.50 for a hot dog; $1.75 for a bag of potato chips C)$1.75 for a hot dog; $1.75 for a bag of potato chips D) $1.75 for a hot dog; $1.50 for a bag of potato chips 8) 9) A college student earned $5300 during summer vacation working as a waiter in a popular restaurant. The student invested part of the mone at 8% and the rest at 7%. If the student received a total of $397 in interest at the end of the ear, how much was invested at 8%? A) $50 B) $757 C) $700 D) $00 9) 50) One number is four more than a second number. Two times the first number is 1 more than four times the second number. A) 1 and - 3 B) 3 and - 1 C) and - D) - 10 and ) 51) A ceramics workshop makes wreaths, trees, and sleighs for sale at Christmas. A wreath takes 3 hours to prepare, hours to paint, and 8 hours to fire. A tree takes 1 hours to prepare, 3 hours to paint, and hours to fire. A sleigh takes hours to prepare, 17 hours to paint, and 7 hours to fire. If the workshop has 100 hours for prep time, 79 hours for painting, and 101 hours for firing, How man of each can be made? A) 8 wreaths, trees, 3 sleighs B) 9 wreaths, 5 trees, sleighs C)3 wreaths, 8 trees, sleighs D) wreaths, 3 trees, 8 sleighs 51) 5) The sum of two numbers is 8. Four times the first number equals 3 times the second number. Find the two numbers. 5) A) and 3 B) - 7 and C)8 and 1 D) 7 and ) A vendor sells hot dogs, bags of potato chips, and soft drinks. A customer bus hot dogs, bags of potato chips, and 3 soft drinks for $ The price of a hot dog is $1.5 more than the price of a bag of potato chips. The cost of a soft drink is $.50 less than the price of two hot dogs. Find the cost of each item. A) $1.75 for a hot dog; $1.00 for a bag of potato chips; $0.50 for a soft drink B) $0.50 for a hot dog; $1.75 for a bag of potato chips; $1.00 for a soft drink C)$.00 for a hot dog; $0.75 for a bag of potato chips; $1.00 for a soft drink D) $1.75 for a hot dog; $0.50 for a bag of potato chips; $1.00 for a soft drink 53) 10

11 5) A compan's cost for producing magazines is given b the equation = The revenue for selling magazines is given b the equation = 3. The break-even point is the point at which the cost and revenue are the same. The graphs of the two equations are shown. Use the graph to solve the sstem. = = 3 Interpret the coordinates of the solution in practical terms. 5) Cost Dollars Revenue Magazines Produced and Sold A) {(750, 50)}; If 50 magazines are produced and sold, the compan will break even: both cost and revenue will be equal to $750. B) {(750, 00)}; If 750 magazines are produced and sold, the compan will break even: both cost and revenue will be equal to $00. C){(750, 50)}; If 750 magazines are produced and sold, the compan will break even: both cost and revenue will be equal to $50. D) {(50, 150)}; If 50 magazines are produced and sold, the compan will break even: both cost and revenue will be equal to $150. Determine whether the sstem is inconsistent, dependent, or neither. 55) + + z = z = z = 8 A) dependent B) inconsistent C) neither 55) 5) + + 3z = z = z = - A) dependent B) inconsistent C) neither 5) Solve the sstem b the best method. 57) + 5 = 0-5 = 80 A) {(0,-8)} B) {(-8, 0)} C){(0, 8)} D) {(5, -1)} 57) 58) = = 1 A) {(9, 7)} B) no solution; C){(7, 9)} D) {(1, 1)} 58) 11

12 59) + = 1 = - A) {(1, )} B) {(1, -)} C){(-1, -)} D) {(-1, )} 59) 0) = 5-3 = -5 A) {(-, )} B) {(-, 7)} C){(-7, 7)} D) no solution; 0) Solve the sstem. If there is no solution or if the sstem's equations are dependent, so state. - - z = 1) z = z = 8 A) {(5,, -1)} B) Dependent; {(,, z) - - z = } C) Inconsistent; D) {(, 5, -8)} ) + + z = z = z = 5 A) {(, -, 3)} B) Inconsistent; C)Dependent; {(,, z) + + z = 3} D) {(3, -, )} 1) ) 3) z = z = z = 75 A) {(-7, -, -1)} B) {(-7, -1, -)} C)Inconsistent; D) Dependent; {(,,z) z = 5} 3) ) - + z = z = z = 9 A) {(3,-1, 5)} B) Dependent; {(,, z) - + z = -3} C){(3, 5, -1)} D) Inconsistent; ) 5) z = z = z = - A) {(3, -, -)} B) Inconsistent; C)Dependent; {(,,z) z = 3} D) {(,, -1)} 5) ) + + z = z = 5 z = -1 A) {(-5,, -1)} B) Dependent; {(,, z) + + z = -1 } C)Inconsistent; D) {(-5, -1, )} ) 7) + + z = - - z = z = 1 A) Inconsistent; B) Dependent; {(,, z) + + z = } C){(, 3, -5)} D) {(, -5, 3)} 7) 1

13 Decide whether or not the ordered pair is a solution of the sstem. 8) (-, 3) + = 9 - = 3 A) Yes B) No 8) 9) (-3, ) + = 0 + = 0 A) Yes B) No 9) Determine if the given ordered triple is a solution of the sstem. 70) + + z = z = z = 1 (, -1, -3) A) Yes B) No 70) 71) z = z = - z = -5 (-, -, -5) A) Yes B) No 71) 7) - + z = 5 + z = z = 13 (0,, 3) A) Yes B) No 7) 13

14 Answer Ke Testname: M830E3PRAC_SCRAMBLED 1) A ) C 3) C ) A 5) D ) B 7) B 8) B 9) C 10) A 11) D 1) B 13) D 1) A 15) D 1) C 17) C 18) C 19) C 0) C 1) B ) C 3) A ) C 5) C ) C 7) B 8) D 9) D 30) A 31) A 3) A 33) D 3) C 35) D 3) B 37) A 38) B 39) B 0) B 1) C ) B 3) B ) C 5) D ) D 7) C 8) D 9) D 50) C 1

15 Answer Ke Testname: M830E3PRAC_SCRAMBLED 51) A 5) D 53) D 5) C 55) B 5) A 57) A 58) B 59) D 0) A 1) B ) A 3) D ) C 5) B ) A 7) A 8) B 9) A 70) A 71) A 7) A 15

Math 098 Exam 1 Preparation- 1.1 to 1.5, Ch 2.1, 2.2, 2.3, 2.5, 3.1, & 3.5 v01 NO BOOK/ NO NOTES/YES CALCUATOR Dressler Winter 2016.

Math 098 Exam 1 Preparation- 1.1 to 1.5, Ch 2.1, 2.2, 2.3, 2.5, 3.1, & 3.5 v01 NO BOOK/ NO NOTES/YES CALCUATOR Dressler Winter 2016. Math 098 Eam 1 Preparation- 1.1 to 1., Ch.1,.,.3,., 3.1, & 3. v01 NO BOOK/ NO NOTES/YES CALCUATOR Dressler Winter 01 Name State the solution set of the inequalit in interval notation and sketch its graph.