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 = - 5 5. No 6. Yes 00 Math
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 5 6. 7x + y - = 0. 5x - y - = 0. x - y - 8 = 0. y = -x + 6 5. y = - x + 6. y = 9 x - 7 9 7 00 Math
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
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
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
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
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
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 $86.70. 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, $.95 00 Math
Money Problems - Investments Kevin invested $500, part at 9% and the remainder at % per annum. After one year the interest earned on the 9% investment was $0 less than the interest on the % investment. How much was invested at each rate? Sasha invested $000, part at 8% and the remainder at 0% per annum. After one year, the total interest eaned was $90. How much did she invest at each rate? Omar invested $000, part at 7% and the rest at 8% per annum. After one year, the interest earned on the 7% investment was $50 more than the interest on the 8% investment. How much did he invest at each rate? Marie invested $000, part at 8% and the remainder at % per annum. At the end of one year the interest on both amounts were equal. How much was invested at each rate? ANSWERS. $75, $5. $500, $500. $00, $600. $00, $600 00 Math
Mixture Problems Brand A fertilizer is % phosphorus, while Brand B is 8% phosphorus. How much of each must be used to make 56 tonnes of a % mixture? A 00 kg nut mix contains cashews and almonds. ashews cost $/kg and almonds cost $.0/kg. How much of each are required to make a mixture costing $.08/kg? A chemistry student wants to make 00 L of 8% alcohol solution by mixing a 0% solution with a 60% solution. How many litres of each must the student use? Jelly beans and mints, worth $.0/kg and $.70/kg respectively, were mixed to create 500 kg of a mixture which sold for $.5/kg. How many kg of each were used? ANSWERS. T, T. 80 kg, 0 kg. 60 L, 0 L. 50 kg, 50 kg 00 Math
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