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39 광고문의 0422 258 092, 0432 008 985 admin@qldkoreanlife.com.au 김선생 연습문제&풀이 ⓒ본광고이미지는코리안라이프가제작하였습니다. *정답은40p에있습니다. Solve the followings (1-4) 1 13 − 3 = 3 + 8 − ( 6 , 7 학년 ) 2 − 2 −3 − 1 + 3 = − 3 2 − 3 + 5 ( 7, 8 학년 ) 3 2 3 − 1 + 3 − 2 = − 2 3 − + 4(2 − 3 ) ( 8, 9 학년 ) 4 2 2 + − 2 = − 2 − 6 + 4 ( 9, 10 학년 ) Factorise the followings (5-8) 5 5 + 20 − 30 ( 6, 7 학년 ) 6 2 − 4 − + 2 ( 8 학년 ) 7 4 2 − 12 + 9 2 ( 9 학년 ) 8 2 − 2 − 2 + 4 − 3 ( 10 학년 ) (9) The circumference of a circular track is 1200 m. Smith, John and White start at the same place and time. They race around the track with the speed of 600 m/min, 800 m/min and 900 m/min respectively. What is the least number of minutes it must take for all three to be together again ? 김선생수학알제브라연습문제 (268) ( Exercise of Algebra ) ( Answer ) 1 13 − 3 = 3 + 8 − 13 − 3 = 3 + 7 − 3 − 7 = 3 − 13 − 10 = − 10 ∴ = 1 2 − 2 −3 − 1 + 3 = − 3 2 − 3 + 5 6 + 2 + 3 = − 6 + 9 + 5 6 + 5 = − 1 + 9 6 − 9 = − 1 − 5 − 3 = − 6 ∴ = 2 3 2 3 − 1 + 3 − 2 = − 2 3 − + 4(2 − 3 ) 6 − 2 + 3 − 6 = − 6 + 2 + 8 − 12 9 − 8 = −10 + 2 9 + 10 = 2 + 8 19 = 10 ∴ = 10 / 19 4 2 2 + − 2 = − 2 − 6 + 4 2 2 + 2 + + 6 − 2 − 4 = 0 3 2 + 7 − 6 = 0 3 − 2 + 3 = 0 ∴ = 2/3 , − 3 5 5 + 20 − 30 = 5 (1 + 4 − 6 ) 6 2 − 4 − + 2 = 2 − 2 − ( − 2 ) = − 2 ( 2 − ) 7 4 2 − 12 + 9 2 = ( 4 2 − 12 + 9 2 ) = ((2 ) 2 − 2( 2 )( 3 ) + ( 3 ) 2 ) = ( 2 − 3 ) 2 8 2 − 2 − 2 + 4 − 3 = ( 2 −2 + 1) − ( 2 −4 + 4) = ( − 1) 2 − ( − 2) 2 = ( − 1) − − 2 {( − 1) + − 2 } = − + 1 ( + − 3) (9) Table below shows the positions of all three. time 1 2 3 4 5 6 7 8 9 10 11 12 13 Smith 600 1200 600 1200 600 1200 600 1200 600 1200 600 1200 600 John 800 400 1200 800 400 1200 800 400 1200 800 400 1200 800 White 900 600 300 1200 900 600 300 1200 900 600 300 1200 900 Therefore The least number of minutes is 12 min. Solve the followings (1-4) 1 13 − 3 = 3 + 8 − ( 6 , 7 학년 ) 2 − 2 −3 − 1 + 3 = − 3 2 − 3 + 5 ( 7, 8 학년 ) 3 2 3 − 1 + 3 − 2 = − 2 3 − + 4(2 − 3 ) ( 8, 9 학년 ) 4 2 2 + − 2 = − 2 − 6 + 4 ( 9, 10 학년 ) Factorise the followings (5-8) 5 5 + 20 − 30 ( 6, 7 학년 ) 6 2 − 4 − + 2 ( 8 학년 ) 7 4 2 − 12 + 9 2 ( 9 학년 ) 8 2 − 2 − 2 + 4 − 3 ( 10 학년 ) (9) The circumference of a circular track is 1200 m. Smith, John and White start at the same place and time. They race around the track with the speed of 600 m/min, 800 m/min and 900 m/min respectively. What is the least number of minutes it must take for all three to be together again ? 김선생수학알제브라연습문제 (268) ( Exercise of Algebra ) ( Answer ) 1 13 − 3 = 3 + 8 − 13 − 3 = 3 + 7 − 3 − 7 = 3 − 13 − 10 = − 10 ∴ = 1 2 − 2 −3 − 1 + 3 = − 3 2 − 3 + 5 6 + 2 + 3 = − 6 + 9 + 5 6 + 5 = − 1 + 9 6 − 9 = − 1 − 5 − 3 = − 6 ∴ = 2 3 2 3 − 1 + 3 − 2 = − 2 3 − + 4(2 − 3 ) 6 − 2 + 3 − 6 = − 6 + 2 + 8 − 12 9 − 8 = −10 + 2 9 + 10 = 2 + 8 19 = 10 ∴ = 10 / 19 4 2 2 + − 2 = − 2 − 6 + 4 2 2 + 2 + + 6 − 2 − 4 = 0 3 2 + 7 − 6 = 0 3 − 2 + 3 = 0 ∴ = 2/3 , − 3 5 5 + 20 − 30 = 5 (1 + 4 − 6 ) 6 2 − 4 − + 2 2 − 2 − ( − 2 ) = − 2 ( 2 − ) 7 4 2 − 12 9 2 = ( 4 2 − 12 + 9 2 ) = ((2 ) 2 − 2( 2 )( 3 ) + ( 3 ) 2 ) = ( 2 − 3 ) 2 8 2 − 2 − 2 + 4 − 3 = ( 2 −2 + 1) − ( 2 −4 + 4) = ( − 1) 2 − ( − 2) 2 = ( − 1) − − 2 {( − 1) + − 2 } = − + 1 ( + − 3) (9) Table below shows the positions of all three. time 1 2 3 4 5 6 7 8 9 10 11 12 13 Smith 600 1200 600 1200 600 1200 600 1200 600 1200 600 1200 600 John 800 400 1200 800 400 1200 800 400 1200 800 400 1200 800 White 900 600 300 1200 900 600 300 1200 900 600 300 1200 900 Therefore The least number of minutes is 12 min. Solve the followings (1-4) 1 13 − 3 = 3 + 8 − ( 6 , 7 학년 ) 2 − 2 −3 − 1 + 3 = − 3 2 − 3 + 5 ( 7, 8 학년 ) 3 2 3 − 1 + 3 − 2 = − 2 3 − + 4(2 − 3 ) ( 8, 9 학년 ) 4 2 2 + − 2 = − 2 − 6 + 4 ( 9, 10 학년 ) Factorise the followings (5-8) 5 5 + 20 − 30 ( 6, 7 학년 ) 6 2 − 4 − + 2 ( 8 학년 ) 7 4 2 − 12 + 9 2 ( 9 학년 ) 8 2 − 2 − 2 + 4 − 3 ( 10 학년 ) (9) The circumference of a circular track is 1200 m. Smith, John and White start at the same place and time. They race around the track with the speed of 600 m/min, 800 m/min and 900 m/min respectively. What is the least number of minutes it must take for all three to be together again ? 김선생수학알제브라연습문제 (268) ( Exercise of Algebra ) ( Answer ) 1 13 − 3 = 3 + 8 − 13 − 3 = 3 + 7 − 3 − 7 = 3 − 13 − 10 = − 10 ∴ = 1 2 − 2 −3 − 1 + 3 = − 3 2 − 3 + 5 6 + 2 + 3 = − 6 + 9 + 5 6 + 5 = − 1 + 9 6 − 9 = − 1 − 5 − 3 = − 6 ∴ = 2 3 2 3 − 1 + 3 − 2 = − 2 3 − + 4(2 − 3 ) 6 − 2 + 3 − 6 = − 6 + 2 + 8 − 12 9 − 8 = −10 + 2 9 + 10 = 2 + 8 19 = 10 ∴ = 10 / 19 4 2 2 + − 2 = − 2 − 6 + 4 2 2 + 2 + + 6 − 2 − 4 = 0 3 2 + 7 − 6 = 0 3 − 2 + 3 = 0 ∴ = 2/3 , − 3 5 5 + 20 − 30 = 5 (1 + 4 − 6 ) 6 2 − 4 − + 2 = 2 − 2 − ( − 2 ) = − 2 ( 2 − ) 7 4 2 − 12 + 9 2 = ( 4 2 − 12 + 9 2 ) = ((2 ) 2 − 2( 2 )( 3 ) + ( 3 ) 2 ) Solve the followings (1-4) 1 13 − 3 = 3 + 8 − ( 6 , 7 학년 ) 2 − 2 −3 − 1 + 3 = − 3 2 − 3 + 5 ( 7, 8 학년 ) 3 2 3 − 1 + 3 − 2 = − 2 3 − + 4(2 − 3 ) ( 8, 9 학년 ) 4 2 2 + 2 = − 2 − 6 + 4 ( 9, 10 학년 ) Factorise the followings (5-8) 5 5 + 20 − 30 ( 6, 7 학년 ) 6 2 − 4 − + 2 ( 8 학년 ) 7 4 2 − 12 + 9 2 ( 9 학년 ) 8 2 − 2 − 2 + 4 − 3 ( 10 학년 ) (9) The circumference of a circular track is 1200 m. Smith, John and White start at the same place and time. They race around the track with the speed of 600 m/min, 800 m/min and 900 m/min respectively. What is the least number of minutes it must take for all three to be together again ? 김선생수학알제브라연습문제 (268) ( Exercise of Algebra ) ( Answerr ) 1 13 − 3 = 3 + 8 − 13 − 3 = 3 + 7 − 3 − 7 = 3 − 13 − 10 = − 10 ∴ 1 2 − 2 −3 − 1 + 3 = − 3 2 − 3 + 5 6 + 2 + 3 = − 6 + 9 + 5 6 + 5 = − 1 + 9 6 − 9 = − 1 − 5 − 3 = − 6 ∴ = 2 3 2 3 − 1 + 3 − 2 = − 2 3 − + 4(2 − 3 ) 6 − 2 + 3 − = − 6 + 2 + 8 − 12 9 − 8 = −10 + 2 9 + 1 = 2 + 8 19 = 10 ∴ = 10 / 19 4 2 2 + − 2 = − 2 − 6 + 4 2 2 + 2 + + 6 − 2 − 4 = 0 3 2 + 7 − 6 = 0 3 − 2 + 3 = 0 ∴ = 2/3 , − 3 5 5 + 20 − 30 5 (1 + 4 − 6 ) Solve the followings (1-4) 1 13 − 3 = 3 + 8 − ( 6 , 7 학년 ) 2 − 2 −3 − 1 + 3 = − 3 2 − 3 + 5 ( 7, 8 학년 ) 3 2 3 − 1 + 3 − 2 = − 2 3 − + 4(2 − 3 ) ( 8, 9 학년 ) 4 2 2 + − 2 = − 2 − 6 + 4 ( 9, 10 학년 ) Factorise the followings (5-8) 5 5 + 20 − 30 ( 6, 7 학년 ) 6 2 − 4 − + 2 ( 8 학년 ) 7 4 2 − 12 + 9 2 ( 9 학년 ) 8 2 − 2 − 2 + 4 − 3 ( 10 학년 ) (9) The circumference of a circular track is 1200 m. Smith, John and White start at the same place and time. They race around the track with the speed of 600 m/min, 800 m/min and 900 m/min respectively. What is the least number of minutes it must take for all three to be together again ? 김선생수학알제브라연습문제 (268) ( Exercise of Algebra ) ( Answeer ) 1 13 − 3 = 3 + 8 − 13 − 3 = 3 + 7 − 3 − 7 = 3 − 13 − 10 = − 10 ∴ = 1 2 − 2 −3 − 1 + 3 = − 3 2 − 3 + 5 6 + 2 + 3 = − 6 9 + 5 6 + 5 = − 1 9 6 − 9 = − 1 − 5 − 3 = 6 ∴ = 2 3 2 3 − 1 + 3 − 2 = − 2 3 − + 4(2 − 3 ) 6 − 2 + 3 − 6 = − 6 + 2 + 8 − 12 9 − 8 = −10 + 2 9 + 10 = 2 + 8 19 = 10 ∴ = 10 / 19 4 2 2 + − 2 = − 2 − 6 + 4 2 2 + 2 + + 6 − 2 − 4 = 0 3 2 + 7 − 6 = 0 3 − 2 + 3 = 0 ∴ = 2/3 , − 3 5 5 + 20 − 30 = 5 (1 + 4 − 6 ) 6 2 − 4 − + 2 2 − 2 − ( − 2 ) = − 2 ( 2 − ) 7 4 2 − 12 + 9 2 = ( 4 2 − 12 + 9 2 ) = ((2 ) 2 − 2( 2 )( 3 ) + ( 3 ) 2 ) = ( 2 − 3 ) 2 8 2 − 2 − 2 + 4 − 3 = ( 2 −2 + 1) − ( 2 −4 + 4) = ( − 1) 2 − ( − 2) 2 = ( − 1) − − 2 {( − 1) + − 2 } = − + 1 ( + − 3) (9) Table below shows the p sitio s of all three. time 1 2 3 4 5 6 7 8 9 10 11 12 13 Smith 600 1200 600 1200 600 1200 600 1200 600 1200 600 1200 600 John 800 400 1200 800 400 1200 800 400 1200 800 400 1200 800 White 900 600 300 1200 900 600 300 1200 900 600 300 1200 900 Therefore The least number of minutes is 12 min. Solve th followings (1-4) 1 13 − 3 = 3 + 8 − ( 6 , 7 학년 ) 2 − 2 3 − 1 + 3 = − 3 2 − 3 + 5 ( 7, 8 학년 ) 3 2 3 − 1 + 3 − 2 = − 2 3 − + 4(2 − 3 ) ( 8, 9 학년 ) 4 2 2 + − 2 = − 2 6 + 4 ( 9, 10 학년 ) Factorise the followings (5-8) 5 5 + 20 − 30 ( 6, 7 학년 ) 6 2 − 4 + 2 ( 8 학년 ) 7 4 2 − 12 + 9 2 ( 9 학년 ) 8 2 − 2 − 2 + 4 − 3 ( 10 학년 ) (9) The circumference of a circular track is 1200 m. Smith, John and White start at the same place and time. They race around the track with the speed of 600 m/min, 800 m/min and 900 m/min respectively. What is the least number of minutes it must take for all three to be together again ? 김선생수학알제브라연습문제 (268) ( Exercise of Algebra ) ( Answer ) 1 13 − 3 = 3 + 8 − 13 − 3 = 3 + 7 − 3 − 7 = 3 − 13 − 10 = − 0 ∴ = 1 2 − 2 −3 − 1 + 3 = − 3 2 − 3 + 5 6 + 2 + 3 = − 6 + 9 + 5 6 + 5 = − 1 + 9 6 − 9 = − 1 − 5 − 3 = − 6 ∴ = 2 3 2 3 − 1 + 3 − 2 = − 2 3 − + 4(2 − 3 ) 6 − 2 + 3 − 6 = − 6 + 2 + 8 − 12 9 − 8 = −10 + 2 9 + 10 = 2 + 8 19 = 10 ∴ = 10 / 19 4 2 2 + − 2 = − 2 − 6 + 4 2 2 + 2 + + 6 − 2 − 4 = 0 3 2 + 7 − 6 = 0 3 − 2 + 3 = 0 ∴ = 2/3 , − 3 5 5 + 20 30 = 5 (1 4 − 6 ) 6 2 − 4 − + 2 = 2 − 2 − ( − 2 ) = − 2 ( 2 − ) 7 4 2 − 12 + 9 2 = ( 4 2 − 12 + 9 2 ) = ((2 ) 2 − 2( 2 )( 3 ) + ( 3 ) 2 ) = ( 2 − 3 ) 2 8 2 − 2 − 2 + 4 − 3 = ( 2 −2 + 1) − ( 2 −4 + 4) = ( − 1) 2 − ( − 2) 2 = ( − 1) − − 2 {( − 1) + − 2 } = − + 1 ( + − 3) (9) Table below shows the positions of all three. time 1 2 3 4 5 6 7 8 9 10 11 12 13 Solve the followings ((1-4)) 1 13 − 3 = 3 + 8 − ( 6 , 7 학년 ) 2 − 2 −3 − 1 + 3 = − 3 2 − 3 + 5 ( 7, 8 학년 ) 3 2 3 − 1 + 3 − 2 = − 2 3 − + 4(2 − 3 ) ( 8, 9 학년 ) 4 2 2 + − 2 = − 2 − 6 + 4 ( 9, 10 학년 ) Factorise the followings (5-8) 5 5 + 20 − 30 ( 6, 7 학년 ) 6 2 − 4 − + 2 ( 8 ) 7 4 2 − 12 + 9 2 ( 9 학년 ) 8 2 − 2 − 2 4 − 3 ( 10 학년 ) (9) The circumference of a circular track is 1200 m. Smith, John and White start at the same place and time. They race around the track with the speed of 600 m/min, 800 m/min and 900 m/min respectively. What is the least number of minutes it must take for all three to be together again ? 김선생수학알제브라연습문제 (268) ( Exercise of Algebra ) ( Answer ) 1 13 − 3 = 3 + 8 − 13 − 3 = 3 + 7 − 3 − 7 = 3 − 13 − 10 = − 10 ∴ = 1 2 − 2 −3 − 1 + 3 = − 3 2 − 3 + 5 6 + 2 + 3 = − 6 + 9 + 5 6 + 5 = − 1 + 9 6 − 9 = − 1 − 5 − 3 = − 6 ∴ = 2 3 2 3 − 1 + 3 − 2 = − 2 3 − + 4(2 − 3 ) 6 2 + 3 − 6 = − 6 + 2 + 8 − 12 9 − 8 = −10 + 2 9 + 10 = 2 + 8 19 = 10 ∴ = 10 / 19 4 2 2 + − 2 = − 2 − 6 + 4 2 2 + 2 + + 6 − 2 − 4 = 0 3 2 + 7 − 6 = 0 3 − 2 + 3 = 0 ∴ = 2/3 , − 3 5 5 + 20 − 30 = 5 (1 + 4 − 6 ) 6 2 − 4 − + 2 = 2 − 2 − ( − 2 ) = − 2 ( 2 − ) 7 4 2 − 12 + 9 2 = ( 4 2 − 12 + 9 2 ) = ((2 ) 2 − 2( 2 )( 3 ) + ( 3 ) 2 ) = ( 2 − 3 ) 2 8 2 − 2 − 2 4 − 3 = ( 2 −2 + 1) − ( 2 −4 + 4) = ( − 1) ( − 2) Solve the followings (1-4) 1 13 − 3 = 3 + 8 − ( 6 , 7 ) 2 − 2 −3 − 1 3 = − 3 2 − 3 + 5 ( 7, 8 학년 ) 3 2 3 − 1 + 3 2 = − 2 3 + 4( − 3 ) ( 8, 9 학년 ) 4 2 2 + − 2 = − 2 − 6 + 4 ( 9, 10 학년 ) Factorise the followings (5-8) 5 5 + 20 − 30 ( 6, 7 학년 ) 6 2 4 − + 2 ( 8 학년 ) 7 4 2 − 12 + 9 2 ( 9 학년 ) 8 2 − 2 − 2 + 4 3 ( 10 학년 ) (9) The circumference of a circular track is 1200 m. Smith, John and White start at the same place and time. They race around the track with the speed of 600 m/min, 800 m/min and 900 m/min respectively. What is the least number of minutes it must take for all three to be together again ? 김선생수학알제브라연습문제 (268) ( Exercise of Algebra ) ( Answer ) 1 13 − 3 = 3 + 8 − 13 − 3 = 3 + 7 − 3 − 7 = 3 13 − 10 = − 10 ∴ = 1 2 − 2 −3 − 1 + 3 = − 3 2 − 3 + 5 + 2 + 3 = − 6 + 9 + 5 6 + 5 = + 9 6 − 9 = − 1 − 5 − 3 = − 6 ∴ = 2 3 3 − 1 + 3 − 2 = − 2 3 − + 4(2 − 3 ) 6 − 2 + 3 − 6 = − 6 + 2 + 8 − 12 9 − 8 = 10 + 2 9 + 10 = + 8 19 = 10 ∴ = 10 / 19 4 2 2 + − 2 = − 2 − 6 + 4 2 2 + 2 + + 6 − 2 − 4 = 0 Soolve th followings (1-4) 1 13 − 3 = 3 + 8 − ( 6 , 7 학년 ) 2 − 2 −3 − 1 + 3 = − 3 2 − 3 + 5 ( 7, 8 학년 ) 3 2 3 − 1 3 − 2 = − 2 3 − + 4(2 − 3 ) ( 8, 9 학년 ) 4 2 + − 2 = − 2 − 6 + 4 ( 9, 10 학년 ) Factorise the folloowings (5-8) 5 5 + 20 − 30 ( 6, 7 학년 ) 6 2 − 4 − + 2 ( 8 학년 ) 7 4 2 2 + 9 2 9 학년 ) 8 2 − 2 − 2 + 4 − 3 ( 10 학년 ) (9) The circumference of a circular track is 1200 m. Smith, John and White start at the same place and time. They race around the track with the speed of 600 m/min, 800 m/min and 900 m/min respectively. What is the least number of minutes it must take for all three to be together again ? 김선생수학알제브라연습문제 (268) ( Exercise of Algebra ) ( Answer ) 1 13 3 = 3 + 8 − 13 − 3 = 3 + 7 − 3 − 7 = 3 − 13 − 10 = − 10 ∴ = 1 2 − 2 −3 − 1 3 = − 3 2 − 3 + 5 6 + + 3 = − + 9 + 5 6 + 5 = − 1 + 9 6 − 9 = − 1 − 5 − 3 = − 6 ∴ = 2