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1 MATH 03 FINAL EXAM REVIEW Simplif. 1) Solve. 2) + 2 = ) 4 = a ) -4.0 = b ) 1 f - = ) = ) = No solution All real numbers Round to the nearest hundredth, if necessar. 8) What number is 8.1% of 42? ) 49% of what number is 69? 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
2 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 < < Solve using the addition principle. Graph and write set -builder notation for the answer. 1) f + < -2 {f f -12} {f f > -12} {f f < -12} {f f -12} 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 <
3 Graph the linear equation. 19) = Determine whether the given ordered pair is a solution of the equation. 20) + = 16; (8, ) No Yes 21) = 2; (3, 4) No Yes Find the coordinates of the -intercept for the given equation. 22) = 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)
4 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? ) 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 Time of Da (PM) 40 miles per hour 0 miles per hour miles per hour 0 miles per hour Graph. 27) =
5 Find the - and -intercepts for the equation. Then graph the equation. 28) 20-4 = -8 0, - 2, -2, 0 0, - 2, 2, Graph the line containing the given pair of points and find the slope. 29) (3, 3) (-4, 3) Write an equation of the line with the given slope and -intercept. 30) m = 7 ;(0, -) 4 = = = = 7 4 +
6 Graph the linear inequalit. 31) ) <
7 Multipl and simplif. 33) Convert to decimal notation. 34) Collect like terms. 3) , Can't be simplified 36) Can't be simplified Multipl. 37) (-4-4)(-3-7) ) (7m - w)(7m + w) 49m2 + 70mw - 2w2 49m2-2w2 7m2 - w2 49m2-70mw - 2w2 Evaluate the polnomial. 39) for = -2 and = Collect like terms. 40) Perform the division. 41) ) Factor completel. 43) (- 7)(2-3) ( - 7)(2 + 3) ( + 7)(3-3) ( + 7)(2 + 3)
8 Factor completel. 44) ( + 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) (42-3)(32 + 2) (44-3)(3 + 2) (42 + 3)(32-2) ( )(2-2) 47) (3-4)(2-3) (3 + 4)(2 + 3) Prime (6 + 4)( + 3) 48) (7 + 6)2 (7-6)2 Prime (7 + 6)(7-6) 49) (8-1)(8 + 1) (24-3)(8 + 1) 3(8 + 1)2 (8-1)(24 + 3) 0) 9m m m Prime 3m m ) (4-16) 2 (4 + 80)(2 + 4)( + 2)( - 2) (4 + 16)(2+ 4)( + 2)( - 2) (4 + 16)(4-16) 2) (8 - )(8 + ) 2(8 + )2 (8 - )(16 + ) (16- )(8 + ) 3) ( - )( + 6) (2 - )( + 6) ( + )( - 6) (2 + )( - 6) 4) ( - )( + 6) (6 - )( + ) ( - 6)( + ) ( + )( - 6) Solve. ) = , , , , 1 3 Solve. 6) = 0 0, 3, 4, 3, 4 3, 4-3,-4
9 Find the -intercepts for the graph of the equation. 7) = (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 k + 4 k k2 + 16k + 63 k k + 4 Divide and, if possible, simplif. 61) ( + 4) Find the LCM. 62) 20, 12, Add, first finding the LCD. Simplif, if possible. 63) Add. Simplif, if possible. 64) m 2-9m m m - 3 m - 6 m + 6 m 2-9m + 18 m - 3 m - 3 6) ( + 1) ( - 3)
10 Subtract. Simplif, if possible ) q q q q 23(q - 7) 11(q - 7) 34 q ) ) ) 3 z2-2z - 2 z z z2-2z 2z - 3 z - 2 3z + 2 z2-2z 3-2z z2-2z Solve the equation. 70) = ) m - - m + = 6 m Given the values of and, find an equation of variation in which varies directl as. 72) =, when = 4 = = 1.2 = 0.8 = ) 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
11 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
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