MATH 03 FINAL EXAM REVIEW Simplif. 1) 8-4 2 72 + 62 16 8 4 13-8 13-8 8 Solve. 2) + 2 = 9 1 2 4 13 3) 4 = a -9-6 -1-36 - 4) -4.0 = b 13 8.0-8.0 7.0-3.00 ) 1 f - = 1-12 12-30 30 6) 2-1 3 = -7-10 7 10 7) -13 + = - 13 0 26 No solution All real numbers Round to the nearest hundredth, if necessar. 8) What number is 8.1% of 42? 3.4 0.34 340 34 9) 49% of what number is 69? 0.71 140.82 71 1408.2 Round to the nearest tenth of a percent. ) 9.6 is what percent of 6? 6.3% 1,933.0% 193.3% 0.6% 11) And left a 1% tip for a meal that cost $30. What was the total cost of the meal including the tip? $34.0 $2.0 $39.00 $4.0
12) Recentl, the cost of 1 6-oz jars of bab food was $9.30. What was the cost of one jar? $1.24 $0.62 $0.31 $1.86 Answer the question. 13) In a school surve, students showed these preferences for instructional materials. Answer the question. About how man students would ou epect to prefer computers in a school of 60 students? About 130 students About 36 students About 234 students About 117 students Graph the inequalit. 14) -6 < < -2-7 -6 - -4-3 -2-1 0 1 2 3 4 6 7-7 -6 - -4-3 -2-1 0 1 2 3 4 6 7-7 -6 - -4-3 -2-1 0 1 2 3 4 6 7-7 -6 - -4-3 -2-1 0 1 2 3 4 6 7 Solve using the addition principle. Graph and write set -builder notation for the answer. 1) f + < -2 {f f -12} {f f > -12} -1-14 -13-12 -11 - -9 {f f < -12} -1-14 -13-12 -11 - -9 {f f -12} -1-14 -13-12 -11 - -9-1 -14-13 -12-11 - -9 Solve. 16) 6z + > z + 8 {z z > 18} {z z > -2} {z z < 18} {z z < -2} Solve using the addition and multiplication principles. 17) -a + 7-6a - 4 {a a -11} {a a > -} {a a -11} {a a < -} 18) One side of a rectangle is 9 inches and the other side is inches. What values of will make the perimeter at most 28? < 0 <
Graph the linear equation. 19) - + 4 = 6 - - - - - - - - - - - - - - - - Determine whether the given ordered pair is a solution of the equation. 20) + = 16; (8, ) No Yes 21) 3 + 4 = 2; (3, 4) No Yes Find the coordinates of the -intercept for the given equation. 22) 3 + 6 = 4 4 3, 0 (0, 4) 0, 4 3 (4, 0) 23) The value V, in dollars, of a shopkeeper's inventor software program is given b V = -60t + 30, where t is the number of ears since the shopkeeper first bought the program. After how man ears is the value of the software $230? 2 r 3 r 1 r 4 r Find the slope of the line going through the pair of points. 24) (4,.7), (6.2, 2.8) 1.3-2.9 2.2-1.3
2) An old house has a basement stairwa that has steps with 7.2 inch risers and 7 inch runs. What is the slope of the stairwa? 0.97-0.2 1.04.36 26) The following graph shows data for a recent train ride from New York to Toronto. Find the rate of change of the distance from New York with respect to time, in miles per hour. 300 200 0 1 2 3 4 Time of Da (PM) 40 miles per hour 0 miles per hour miles per hour 0 miles per hour Graph. 27) = 1 - - - - - - - - - - - - - -
Find the - and -intercepts for the equation. Then graph the equation. 28) 20-4 = -8 0, - 2, -2, 0 0, - 2, 2, 0 - - - - - - - - Graph the line containing the given pair of points and find the slope. 29) (3, 3) (-4, 3) 1 0 - - - - - - - - 1 0 - - - - - - - - Write an equation of the line with the given slope and -intercept. 30) m = 7 ;(0, -) 4 = - 7 4 + = - 7 4 - = 7 4 - = 7 4 +
Graph the linear inequalit. 31) 4 + -2 - - - - - - - - - - - - - - - - 32) < -3 - - - - - - - - - - - - - -
Multipl and simplif. 33) 3-6 39 312 33 39 1 Convert to decimal notation. 34) 3.18 3 Collect like terms. 3) 68 + 8-38 3180 0.00318 318 31,800 824-908 88 Can't be simplified 36) 34 + 42 + 84 114 + 42 1 12 Can't be simplified Multipl. 37) (-4-4)(-3-7) 122 + 40 + 40-72 + 40 + 40-72 + 40 + 28 122 + 40 + 28 38) (7m - w)(7m + w) 49m2 + 70mw - 2w2 49m2-2w2 7m2 - w2 49m2-70mw - 2w2 Evaluate the polnomial. 39) -22-2 + for = -2 and = -23 23 7-43 Collect like terms. 40) 3-84 + 32 + 4 + 63-78 + 76 + 32 74-73 - 3 2-74 + 73 + 32-84 - 73 + 32 Perform the division. 41) 4-16 2-4 2 + 4 2-4 + 2 2-4 2 + 2 + 2 42) -20 3 + 182-29 + - + 2 42-2 + 42 + 2 + 2-2 - 2 + Factor completel. 43) 3-72 - 3 + 21 (- 7)(2-3) ( - 7)(2 + 3) ( + 7)(3-3) ( + 7)(2 + 3)
Factor completel. 44) 62-6 - 36 6( + 2)( - 3) (6 + 12)( - 3) 6( - 2)( + 3) Prime 4) z2 + 9z - 9 Prime (2z - 3)(z + 3) (2z + 3)(z - 3) (z + 3)(z - 3) 46) 124 + 82-92 - 6 (42-3)(32 + 2) (44-3)(3 + 2) (42 + 3)(32-2) (122 + 3)(2-2) 47) 62 + 17 + 12 (3-4)(2-3) (3 + 4)(2 + 3) Prime (6 + 4)( + 3) 48) 492-36 (7 + 6)2 (7-6)2 Prime (7 + 6)(7-6) 49) 1922-3 3(8-1)(8 + 1) (24-3)(8 + 1) 3(8 + 1)2 (8-1)(24 + 3) 0) 9m2-4 9 3m + 2 3 3m - 2 3 Prime 3m - 2 3 2 3m + 2 3 2 1) 8-1280 (4-16) 2 (4 + 80)(2 + 4)( + 2)( - 2) (4 + 16)(2+ 4)( + 2)( - 2) (4 + 16)(4-16) 2) 1282-02 2(8 - )(8 + ) 2(8 + )2 (8 - )(16 + ) (16- )(8 + ) 3) 2 + 12-2 - 30 ( - )( + 6) (2 - )( + 6) ( + )( - 6) (2 + )( - 6) 4) 2 + 30 - - 6 ( - )( + 6) (6 - )( + ) ( - 6)( + ) ( + )( - 6) Solve. ) 3-1 8 + 1 3 = 0 1 24, - 1 3-1 24, - 1 3 1 24, 1 3-1 24, 1 3 Solve. 6) 2-3 + 60 = 0 0, 3, 4, 3, 4 3, 4-3,-4
Find the -intercepts for the graph of the equation. 7) = 2 + - 36 (9, 0), (1, 0) (-9, 0), (4, 0) (13, 0) (9, 0), (-4, 0) 8) The height of a bo is 8 inches. The length is three inches more than the width. Find the width if the volume is 224 cubic inches. 8 in. 28 in. 4 in. 7 in. 9) Two cars leave an intersection. One car travels north; the other east. When the car traveling north had gone 9 miles, the distance between the cars was 3 miles more than the distance traveled b the car heading east. How far had the eastbound car traveled? 9 miles 1 miles 18 miles 12 miles Multipl and, if possible, simplif. 60) k 2 + k + 21 k2 + 16k + 63 k2 + 9k k2 + 7k + 12 k 2 + 9k k + 4 1 k + 4 k k2 + 16k + 63 k k + 4 Divide and, if possible, simplif. 61) 2 + 9 + 20 + 2-16 - 20 ( + 4) 2-20 - 4 1 Find the LCM. 62) 20, 12, 1 20 60 30 12 Add, first finding the LCD. Simplif, if possible. 63) 11 + 1 6 71 17 71 66 11 17 1 6 Add. Simplif, if possible. 64) m 2-9m m - 3 + 18 m - 3 m - 6 m + 6 m 2-9m + 18 m - 3 m - 3 6) + 2-3 + - 4 8( + 1) + 3 - - 3 8 + 7-3 + 6-3 8 + 14 ( - 3)3 8 + 14-3
Subtract. Simplif, if possible. 23 66) q - 7-11 q - 7 12 q - 7 12 q 23(q - 7) 11(q - 7) 34 q - 7 67) 2 + 7 2 + + 6 - + 2 + + 6 + 2 + 12 2 + + 6 1 + 3 8 2 + + 6 68) -6-6 - 3 6 - -3-6 9-6 -9-6 -18-6 69) 3 z2-2z - 2 z - 2 3 + 2z z2-2z 2z - 3 z - 2 3z + 2 z2-2z 3-2z z2-2z Solve the equation. 70) + - 6 = 7 6-71) -2 12-12 2 7 m - - m + = 6 m2-2 27 4-27 -4 Given the values of and, find an equation of variation in which varies directl as. 72) =, when = 4 = = 1.2 = 0.8 = 1.2 73) The distance a vehicle can travel at a fied speed varies directl as time. If a vehicle travels 200 miles in 20 minutes, how far will it travel in 2 minutes? 1 0 miles 0 miles 20 miles 2 2 miles Find an equation of variation in which varies inversel as and the following is true. 74) = 0.7, when = 24 = 19 = 18 = 21 = 18 7) The speed of a vehicle is inversel proportional to the time it takes to travel a fied distance. If a vehicle travels a fied distance at 2 miles per hour in 40 minutes, how fast must it travel to cover the same distance in 20 minutes? 2 2 miles per hour 32 miles per hour 0 miles per hour 2 2 miles per hour
Answer Ke Testname: 03 FINAL EXAM REVIEW REVISED 1) D 2) A 3) C 4) B ) D 6) C 7) D 8) A 9) B ) C 11) A 12) B 13) C 14) C 1) C 16) B 17) C 18) C 19) D 20) A 21) B 22) C 23) A 24) D 2) C 26) B 27) A 28) B 29) B 30) C 31) C 32) A 33) B 34) A 3) C 36) A 37) D 38) B 39) D 40) C 41) A 42) A 43) A 44) A 4) C 46) A 47) B 48) D 49) A 0) A 1) C 2) A 3) B 4) A ) A 6) C 7) B 8) C 9) D 60) D 61) D 62) B 63) B 64) A 6) D 66) A 67) C 68) A 69) D 70) C 71) C 72) D 73) C 74) D 7) C