Wiz. M ath. Slope - intercept Form y = mx + b. Solve and check answers. Practice Problems. 4. y = y = 3x + 7. y = x No. 3.
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1 Slope - intercept Form y = mx + b Determine the equation of a line with y-intercept 7 and slope. Determine the equation of the horizontal line through (, -5). Determine the equation of a line with y-intercept - and slope. 5 Is the point (, ) on the line y = 5x - 7? 6 Determine the equation of the vertical line through (6, 5). Is the point (-, ) on the line y = x + 5? ANSWERS 5 6. y = x + 7. y = x -. x = 6. y = No 6. Yes 00 Math
2 Standard Form of a Line onvert to standard form. onvert to slope-intercept form. y = -7x + x + y - 6 = 0 onvert to standard form. 5 onvert to slope-intercept form. y = 5x - x + y - 9 = 0 onvert to standard form. 6 onvert to slope-intercept form. y = x - 9 9x - 7y - = 0 ANSWERS x + y - = 0. 5x - y - = 0. x - y - 8 = 0. y = -x y = - x + 6. y = 9 x Math
3 Solve a System by Graphing y = -x + 5 x + y = x + y = x - y = 6 x - 6y = 0 x + y = 6 x = y = - ANSWERS. (-, 6). (6, -). (, -). (, -) 00 Math
4 Solve a System by Substitution y = x - y = -x + 8 x + y = 5 x - y = 7 y = -x + 8 x - y = x + y = x + y = 6 ANSWERS. (, 5). (6, ). (, ). (8, -0) 00 Math
5 Solve a System by Elimination A x + y = x - y = 5 x + y = x - y = - x + y = 0 x + y = - -x - y = 5 x - y = ANSWERS. (, -). (, -8). (0, ). (-, -) 00 Math
6 Solve a System by Elimination B x + y = x + y = 7-7x + 5y = -7 x - y = 7 x + y = 5x - y = -6 x + y = 6 x - 5y = - ANSWERS. (, ). (-, ). (, -). (, 5) 00 Math
7 Solve a System by Elimination x + y = 8 x + y = 7 x - y = 0 x + 5y = 7 5x - y = x + 5y = -7-7x + y = x + 5y = 0 ANSWERS. (, ). (-, -) 78. (,. ( - 0, ) 9 ) 00 Math
8 Money Problems A guard earns an hourly rate for 0 h of work and an increased rate for ovetime. One week Yan worked h and received $66.0. The next week he worked 7.5 h and received $00. Find his regular and overtime rates. At the video store sale 6 blank video tapes and blank DVD's cost $5.0. During the same sale, 8 blank tapes and blank DVD's cost $7.95. What was the cost of a blank video and a blank DVD? A tennis club charges an initiation fee and a monthly fee. At the end of one month Samira had paid a total of $60. At the end of 6 months she had paid a total of $5. What was the initiation fee and the monthly fee? The cost for 0 adults and 6 kids to go to the movies was $ When 0 adults and kids attended the cost was $.5. Determine the cost per adult and the cost per kid. ANSWERS. $6.0, $9.60. $.95, $.5. $5, $5. $8.95, $ Math
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11 Motion Problems Solve these problems. Two trains left Winnipeg, one going east and one west. The train going east went 8 km/h faster than the train going west. After 5 h they were 60 km apart. Determine their speeds. Sarah spent h more travelling by train than she did by bus. The train averaged 70 km/h and the bus 50 km/h The total trip distance was 70 km. How far did she go on the bus? Amy took 7 h to drive 85 km. She drove most of the way at 80 km/h but got in a traffic jam and was only able to go 0 km/h during part of the trip. How long was she in the traffic jam? It took Math hours to get to his cottage 0 km away. He travelled 80 km/h on the highway but only 0 km/h on the dirt back road section. How long was the dirt road? ANSWERS. 50 km/h, km/h. 50 km..5 hours. 80 km 00 Math
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