MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. C) C) 31.

Transcription

1 Eam Name MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Write the sentence as a mathematical statement. 1) Negative twent-four is equal to negative twent-four. A) - - B) - - C) - = - D) - - 1) Simplif the epression ) 1 - A) 39 B) 3 11 C) 8 11 D) 8 19 ) 3) A) 18 B) 1 C) D) 30 3) Evaluate the epression for the given replacement values. 7 - ) = 8, = 3 6 A) 9 B) 6 C) 31 3 D) 3 ) Decide whether the given number is a solution of the given equation. ) Is a solution of - = 8-8? A) es B) no ) 6) Is a solution of + 1 = 11? A) es B) no 6) Write the phrase as an algebraic epression. Let represent the unknown number. 7) Eight more than a number A) 8 B) 8 C) - 8 D) + 8 7) Write the sentence as an equation or inequalit. Use to represent an unknown number. 8) One increased b two equals the quotient of twelve and four. A) 1 + = 1 B) 1 + = 1 C) 1 + = 1 D) 1 + = 1-8) Decide whether the given number is a solution of the given equation. 9) Is - a solution of - 8 = 1? A) es B) no 9) ) Is 6 a solution of - - = -? A) es B) no ) 1

2 If = - and = -, evaluate the epression ) + A) - 9 B) 0 C) 3 D) undefined 11) Decide whether the given number is a solution of the given equation. 1) Is 0 a solution of = -? 1) A) es B) no Use the distributive propert to write the epression without parentheses. Then simplif, if necessar. 13) ( + 7) A) B) C) D) 13) 1) 7(3-9) A) 8 B) 1-9 C) 1-63 D) ) Simplif the epression b combining an like terms. 1) A) 1 B) + 11 C) + 3 D) ) Solve the equation. 16) 1 (8-1) = 6( ) ) A) 9 B) 0 C) no solution D) all real numbers Simplif the epression b combining an like terms. 17) A) + - B) 83 C) + - D) ) Simplif the epression. First use the distributive propert to remove an parentheses. 18) 8(7n - 6) A) 6n - 8 B) 6n + 8 C) 6n - 6 D) 1n ) 19) 1 (6 + ) - 3 ( - ) 19) A) - B) C) D) - Solve b combining like terms. 0) The value of 8 dimes is 8 = 80 cents. Likewise, the value of dimes is. If George finds 6 - nickels, dimes, and quarters in his change jar, epress the total value of change in cents as an algebraic epression. A) (7 + ) cents B) (7 - ) cents C) (0 - ) cents D) (7 - ) cents 0)

3 Write the following phrase(s) as an algebraic epression and simplif if possible. Let represent the unknown number. 1) The difference of ten and a number, divided b five 1) A) - B) - C) - D) - Solve the equation. ) ( + 8) = 17 A) -8 B) -3 C) 8 D) 3 ) 3) -w w = 6 A) -1 B) 9 C) 1 D) -9 3) ) n = 1 ) A) 3 B) 60 C) 18 D) 19 ) 1 = -8 ) A) -3 B) - C) - D) - 6) 1 a - 1 = - 6) A) -7 B) 9 C) -9 D) 7 7) 1 ( + 6) = 1 ( + 8) 6 7) A) B) {3} C) - D) -1 Write the algebraic epression described. Simplif if possible. 8) A quadrilateral is a four-sided figure whose angle sum is 360. If one angle measures, a second angle measures, and a third angle measures 6, epress the measure of the fourth angle in terms of. A) (360 - ) B) ( ) C) (360-11) D) (11-360) 8) 9) During a walk-a-thon, Rosiln walked 19 fewer laps than June walked. If June walked b laps, how man laps did Rosiln walk? 9) A) b laps B) (b - 19) laps C) (19 - b) laps D) (b + 19) laps 19 Solve the equation. 30) 8 - ( - 1) = 30) A) 1 B) 1 6 C) D) ) 6n = 8(3n + 7) A) 8 9 B) C) 9 8 D) ) 3

4 (7 - ) 3) = A) -3 B) 3 C) D) - 3) 33) 1-1 = - 33) A) -1 B) -17 C) 1 D) 17 3) 0.0(60) = 0.30(60 + ) A) 30 B) 1 C) 0 D) 0 3) Write the following as an equation, using for the unknown number. Then solve. 3) If times a number is added to -9, the result is equal to 13 times the number. Find the number. A) = 9; 1 B) + (-9) = 13; -1 C) + (-9) = 13; 1 D) 13( - 9) = -9; -1 3) Solve. 36) Seven times some number added to 7 amounts to -1 added to the product of 3 and the number. A) - B) 8 C) D) -8 36) 37) The president of a certain universit makes three times as much mone as one of the department heads. If the total of their salaries is $,000, find each workerʹs salar. A) presidentʹs salar = $,000; department headʹs salar = $,00 B) presidentʹs salar = $17,00; department headʹs salar = $,00 C) presidentʹs salar = $1,70; department headʹs salar = $0 D) presidentʹs salar = $,00; department headʹs salar = $17,00 37) 38) To trim the edges of a rectangular table cloth, 8 feet of lace are needed. The length of the table cloth is eactl one-half its width. What are the dimensions of the table cloth? A) length: 16 ft; width: 8 ft B) length: ft; width: 8 ft C) length: 16 ft; width: 3 ft D) length: 8 ft; width: 16 ft 38) 39) The house numbers of two adjacent homes are two consecutive even numbers. If their sum is 36, find the house numbers. A) 161, 163 B) 163, 16 C) 16, 16 D) 16, 3 39) 0) In a recent International Gmnastics competition, the U.S., China, and Romania were the big winners. If the total number of medals won b each team are three consecutive integers whose sum is 99 and the U.S. won more than China who won more than Romania, how man medals did each team win? A) U.S.: 3 medals; China: 3 medals; Romania: 33 medals B) U.S.: 3 medals; China: 33 medals; Romania: 3 medals C) U.S.: 1 medals; China: 0 medals; Romania: 99 medals D) U.S.: 3 medals; China: 31 medals; Romania: 30 medals 0) Substitute the given values into the formula and solve for the unknown variable. 1) d = rt; t =, d = 1 A) 1 B) 7 C) 0.1 D) 16 1)

5 Solve. ) Sall is making a cover for a round table. When finished, the cover will fit eactl with no ecess hanging off. Sall has to cut the fabric circle with a inch larger diameter than the table to allow for hemming. If the table has a diameter of 8 inches, how much fabric does Sall need? (Use 3.1 for π. Round to decimal places.) A) 1, sq in. B) sq in. C) 11,30 sq in. D) sq in. ) Solve the formula for the specified variable. 3) I = Prt for t A) t = P - Ir B) t = P - 1 Ir C) t = I Pr D) t = P - I 1 + r 3) ) V = 1 Ah for h 3 ) A) h = A 3V B) h = V 3A C) h = 3V A D) h = 3A V Solve. If needed, round mone amounts to two decimal places and all other amounts to one decimal place. ) Jeans are on sale at the local department store for % off. If the jeans originall cost $6, find the sale price. A) $8.00 B) $80.00 C) $16.00 D) $6.0 ) 6) Because of budget cutbacks, MarAnn was required to take a 18% pa cut. If she earned $8,000 before the pa cut, find her salar after the pa cut. A) $,960 B) $7,99.60 C) $96 D) $7,96 6) 7) Ming got a 1% raise in her salar from last ear. This ear she is earning $1,0. How much did she make last ear? A) $,30 B) $13,000 C) $0,0 D) $,38,70 7) 8) At a gourmet nut shop, nuts are sold in bulk. Cashews sell for $1.0 per pound and macadamia nuts sell for $8. per pound. Lee wishes to purchase pounds of mied nuts b miing 3. pounds of cashews and 1. pounds of macadamia nuts. What will be the price per pound of the miture? A) $6.8 B) $16.88 C) $3.38 D) $ ) 9) The owners of a cand store want to sell, for $6 per pound, a miture of chocolate -covered raisins, which usuall sells for $3 per pound, and chocolate-covered macadamia nuts, which usuall sells for $8 per pound. The have a 60-pound barrel of the raisins. How man pounds of the nuts should the mi with the barrel of raisins so that the hit their target value of $6 per pound for the miture? A) 78 lb B) 8 lb C) 96 lb D) 90 lb 9) Solve. 0) Linda and Dave leave simultaneousl from the same starting point biking in opposite directions. Linda bikes at miles per hour and Dave bikes at 8 miles per hour. How long will it be until the are 0 miles apart from each other? A) 1 hr B) hr C) 6 13 hr D) 3 0 hr 0)

6 1) On a road trip, five friends drove at 0 miles per hour to California. On the wa home, the took the same route but drove 6 miles per hour. How man miles did the drive on the wa to California if the round trip took hours? A) mi B) 6 3 mi C) mi D) 3 3 mi 1) Plot the ordered pair. State in which quadrant or on which ais the point lies. ) (-, 0) 8 ) A) quadrant I B) -ais C) -ais D) -ais

7 Solve the inequalit. Graph the solution set and write it in interval notation. 3) 1-3 > ( - 11) 3) A) (-, -) B) (-, -] C) (-, ) D) [-, ) Solve the problem. ) On a buing trip in Los Angeles, Rosaria Perez ordered pieces of jewelr: a number of bracelets at $ each and a number of necklaces at $1 each. She wrote a check for $1300 to pa for the order. How man bracelets and how man necklaces did Rosaria purchase? A) 6 bracelets and necklaces B) 80 bracelets and 0 necklaces C) 7 bracelets and necklaces D) 70 bracelets and 0 necklaces ) ) Jon throws all his nickels and dimes in a jar at home each da. He counted all his coins one da and found that he had collected $.3. If there were five times as man nickels as dimes, how man of each coin does he have? A) 60 dimes; 600 nickels B) 11 dimes; 60 nickels C) 11 dimes; nickels D) 60 dimes; 11 nickels ) Solve. 6) Melissa invested a sum of mone at 3% annual simple interest. She invested three times that sum at % annual simple interest. If her total earl interest from both investments was $700, how much was invested at 3%? A) $90,000 B) $30,000 C) $0,000 D) $70,000 6) 7) How can $,000 be invested, part at % annual simple interest and the remainder at % annual simple interest, so that the interest earned b the two accounts is equal at the end of the ear? A) $,000 invested at %; $0,000 invested at % B) $0,000 invested at %; $,000 invested at % C) $1,000 invested at %; $30,000 invested at % D) $30,000 invested at %; $1,000 invested at % 7) Determine whether the ordered pair is a solution of the given linear equation. 8) + 6 = -; (0, -) A) es B) no 8) 7

8 9) = 8; (0, 0) A) es B) no 9) Graph the linear equation. 60) = - 60) A) B) C) D)

9 Find the - and -coordinates of the following labeled points. 61) B ) A A) A(, 3); B(-, 6) B) A(3, ); B(6, -) C) A(, 3); B(6, -) D) A(, 6); B (3, 6) Solve the sstem of equations b the addition method. + 1 = 1 6) - 1 = 0 6) A) infinite number of solutions B) no solution C) 1, D), 1 Write a sstem of equations in and describing the situation. Do not solve the sstem. 63) An order of orders of fries, hamburgers, and drinks costs $17. An order of 3 orders of fries, hamburgers, and drinks costs $1. All drinks are $1. A) ()() + = 17 (3)() + = 1 B) + + = = 1 63) C) = = 1 D) + + = = 13 9

10 Graph the linear equation. 6) = 6) A) B) C) D)

11 Identif the intercepts. 6) 6) A) (-1, 0), (0, 6) B) (-6, 0), (0, 6) C) (-1, 0), (0, -6) D) (1, 0), (0, 6) Match the graph with its equation. 66) = - - A) B) 66) C) D)

12 Graph the linear equation. 67) = 67) A) B) C) D) Find the slope of the line. 68) + = 3 A) m = -1 B) m = 0 C) m = 1 D) undefined slope 68) 69) = 9 A) m = 1 B) m = 0 C) undefined slope D) m = 9 69) 1

13 Find the slope of the line if it eists. 70) 70) A) - 1 B) C) 1 D) - 71) 71) A) undefined slope B) - C) D) 0 Find the slope of the line. 7) = - A) m = 0 B) m = -1 C) m = 1 D) undefined slope 7) Determine whether the pair of lines is parallel, perpendicular, or neither. 73) 6 + = = 39 A) parallel B) perpendicular C) neither 73) 7) = - - = A) parallel B) perpendicular C) neither 7) 13

14 Solve. 7) Khang and Hector live 18 miles apart in southeastern Missouri. The decide to biccle towards each other and meet somewhere in between. Hectorʹs rate of speed is 80% of Khangʹs. The start out at the same time and meet hours later. Find Hectorʹs rate of speed. A) mph B) mph C) mph D) 18 mph 7) 76) To the nearest dollar, the average tuition at a public four-ear college was $3117 in 1997 and $3317 in Use the ordered pairs (1997, $3117) and (1998, $3317) to find and interpret the slope of the line representing the change in tuition (to the nearest dollar per ear). A) tuition increased $00 per ear B) tuition decreased $00 per ear C) tuition increased $11 per ear D) tuition increased $17 per ear 76) Graph the linear equation b finding and plotting its intercepts. 77) = 1-77) A) B) C) D)

15 Use the slope-intercept form to graph the equation. 78) = ) A) B) C) D) Find an equation of the line described. Write the equation in slope -intercept form if possible. 79) Slope - 8, through (, ) 9 79) A) = B) = C) = D) =

16 Find an equation of the line through the pair of points. Write the equation in the form A + B = C. 80) (9, -8) and (0, 3) A) = 7 B) 17-3 = -9 C) = 7 D) = -9 80) Solve. 81) The pitch of a roof is its slope. Interpret the pitch of the roof shown. 81) 7 feet 18 feet A) For each horizontal distance of 7 feet, the roof height increases b 18 feet. B) For each horizontal distance of 7 feet, the roof height decreases b 18 feet. C) For each horizontal distance of 18 feet, the roof height increases b 7 feet. D) For each horizontal distance of 18 feet, the roof height decreases b 7 feet. Write an equation of the line with the given slope, m, and -intercept (0, b). 8) m = 1, b = 0 8) A) = 1 B) = 0 C) = 1 D) = 1 83) m = -, b = 1 83) A) = B) = + 1 C) = 1 + D) = Solve. Assume the eercise describes a linear relationship. 8) A gas station sells 80 gallons of regular unleaded gasoline in a da when the charge $1.3 per gallon, whereas the sell 388 gallons on a da that the charge $1.0 per gallon. Find a linear equation that relates gallons sold to price. Use this equation to predict the number of gallons sold at a price of $1. per gallon. A) 760 gal B) 77.7 gal C) 7.1 gal D) 71 gal 8) 8) An investment is worth $01 in 199. B 1997 it has grown to $30. Let be the value of the investment in the ear, where = 0 represents 199. Write a linear equation that models the value of the investment in the ear. 1 A) = + 01 B) = ) C) = D) = Find the domain and the range of the relation. 86) {(1, 1), (-, -9), (1, 6)} A) domain: {-9, 6, 1} ; range: {-, 1, 1} B) domain: {-, 6, 1} ; range: {-9, 1, 1} C) domain: {-, 1, 1} ; range: {-9, 6, 1} D) domain: {-, 1, 1} ; range: {-9, 6} 86) 16

17 87) {(8, ), (-7, ), (-, )} A) domain: {-7, -, 8} ; range: {} B) domain: {-7,, 8} ; range: {-} C) domain: {} ; range: {-7, -, 8} D) domain: {-7, -} ; range: {, 8} 87) Determine whether the graph is the graph of a function. 88) 88) A) es B) no 89) 89) A) es B) no Evaluate the function. 90) Find f() when f() = 33 A) 37 B) 7 C) 1 D) 90) Determine whether the ordered pair is a solution of the sstem of linear equations. 91) (6, 7); 3 = = 7 A) Yes B) No 91) 9) (, ); + = 3 - =-7 A) Yes B) No 9) 17

18 Solve the sstem of equations b either the addition method or the substitution method. 93) = = A) (-, -1) B) (, -1) C) no solution D) (-, -) 93) Without graphing, decide: (a) Are the graphs of the equations are identical lines, parallel lines, or lines intersecting at a single point? (b) How man solutions does the sstem have? 9) 3 - = 8 + = 0 A) parallel lines; no solution B) identical lines; infinite number of solutions C) lines intersecting at a single point; one solution 9) Find the domain and range of the function graphed. 9) (1, ) 9) A) domain: (-, 1) (1, ); range: (-, ) (, ) B) domain: (-, 1]; range: (-, ] C) domain: (-, ); range: (-, ] D) domain: (-, ); range: (-, ) Solve the sstem of equations b graphing. 96) + = 3 + = 1 96) A) (-1, ) B) (, -1) C) no solution D) (1, -) 18

19 97) + = - = 3 97) A) (, 1) B) (, -1) C) no solution D) (1, ) Without graphing, decide: (a) Are the graphs of the equations are identical lines, parallel lines, or lines intersecting at a single point? (b) How man solutions does the sstem have? 98) =- + =- A) lines intersecting at a single point; one solution B) parallel lines; no solution C) identical lines; infinite number of solutions 98) Solve the sstem of equations b the substitution method. 99) -3 - =-16 = A) (9, 36) B) no solution C) (36, 9) D) infinite number of solutions 99) 0) = 1-1 = 7 A) infinite number of solutions B) no solution C) (1, -7) D) (7, -1) 0) 19

20 Use the power rule and the power of a product or quotient rule to simplif the epression. 1) (mn)7 A) mn7 B) 7mn C) m8n8 D) m7n7 1) ) z ) A) 816 z8 B) z6 C) z8 D) 816 z6 Use the quotient rule to simplif the epression. 3) s 7t st A) st8 B) st9 C) s9t11 D) st 3) Use the product rule to simplif the epression. Write the result using eponents. ) t t9 t A) t9 B) t13 C) t1 D) t18 ) ) 6 A) 9 B) C) 6 D) 8 ) Find the degree of the following polnomial and determine whether it is a monomial, binomial, trinomial, or none of these. 6) -1s - 1s + 9 A) ; trinomial B) 6; trinomial C) 6; binomial D) 7; trinomial 6) Perform the indicated operation. 7) ( ) - ( ) A) B) C) D) ) 8) (-8 + 7) + ( ) A) B) C) D) ) 7z - (11 - z) A) z + 11 B) 9z - 11 C) z - 11 D) 9z ) 9) 1

21 1) [( ) + ( )] - ( ) A) B) C) D) ) Multipl. 111) ) A) B) C) D) ) ( + 1)( - + 1) A) B) C) 3-1 D) ) 113) ( + 6)( + 7) A) B) C) + D) + 13) 11) (z + 1) A) z + 1 B) z + 1 C) z + z + 1 D) z + z + 1 1) Multipl using the FOIL method. 11) (b- )(b + ) A) b + B) b - 3b + C) b + 3b - D) b - 1) Multipl. 116) (p + )(p - ) A) p - B) p + 0p - C) p - 0p - D) p - 16) 117) (a - 3) A) a - 1a + 9 B) a + 9 C) a + 9 D) a - 1a ) Multipl using the FOIL method. 118) ( + 6)( + 6) A) B) + 36 C) D) ) Write the number in standard notation. 119).1-6 A) B) -,1,000 C) D) ) Write the number in scientific notation. ) A light-ear is a measure of length defined as the distance that light travels in one ear, which is about 9,00,000,000,000 kilometers. Write this number in scientific notation. A) 9 11 B) 9. 1 C) D) )

22 11) A) B) C) D) ) Evaluate the epression using eponential rules. Write the result in standard notation. 1) (7.6 3) (8.0 3) A) 6,080,000 B) C) 60,800,000 D) ) Perform the division. 13) ) A) B) -3-3 C) D)

23 1. C. C 3. B. D. A 6. B 7. D 8. A 9. B. A 11. D 1. B 13. C 1. C 1. B 16. C 17. D 18. A 19. C 0. D 1. A. D 3. C. B. A 6. A 7. C 8. C 9. B 30. B 31. B 3. C 33. A 3. A 3. B 36. A 37. B 38. D 39. C 0. B 1. B. D 3. C. C. A 6. A 7. B 8. C 9. D 0. B 1. A. C 3. C. D. B 6. C 7. D 8. B 9. A 60. D 61. A 6. D 63. B 6. B 6. A 66. D 67. B 68. A 69. B 70. B 71. A 7. D 73. A 7. C 7. A 76. A 77. A 78. B 79. B 80. A 81. C 8. D 83. D 8. D 8. B 86. C 87. A 88. A 89. B 90. A 91. A 9. B 93. D 9. C 9. C 96. A 97. A 98. B 99. C 0. A 1. D. C 3. B. D. D 6. A 7. C 8. B 9. B 1. A 111. D 11. A 113. B 11. C 11. C 116. D 117. A 118. A 119. A. B 11. C 1. C 13. C