Exam 4: Linear Systems

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Graph: y = - Graph: y = -

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Find the slope and y-intercept: 1 - Find the slope and y-intercept: 1 -   y = 4x y = 4x

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Operations costs increases linearly with the number of staff and are represented by the equations OC = 12000N + 3000 and 3OC - 7000N = 252000. Graphically calculate the operations cost and number of staff.

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Hamidah's sales last week were $251 less than three times Colleen's sales. Together they sold $1123. Determine how much each person sold last week.

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Find the slope of the following: 2x + 5y = 50

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Xavier and Yannic went to an arcade where the machines took tokens. Xavier played 4 games of skee ball and 3 games of pinball, using a total of 17 tokens. At the same time, Yannic played 4 games of skee ball and 4 games of pinball, using up 20 tokens. How many tokens does each game require?

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Graph the region defined by x > 0, 6y + 12x < 30, and 6x - 2y > 10

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Graph: y = Graph: y =   x - 4 x - 4

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The town of Whitby held a painting day for adults and kids alike. Each child made 15 paintings and each adult made 7 paintings. A total of 208 paintings were made by the group, and there were 3 times as many kids as there were adults. How many kids were there, and how many adults were there?

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It takes your company 6 labour hours to manufacture a simple hot tub and 9 labour hours to manufacture a deluxe hot tub. Last week your company used a total of 795 labor hours to manufacture a total of 105 hot tubs. How many of each type of hot tub did you manufacture?

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Find the slope and y-intercept: 3x + 2y = 10

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Graph: x = Graph: x =

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Find the slope of the following: 20y - 4x = 5

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Graph: y = -4x + 16

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Find the y-intercept for the following: 3x - 5y = 60

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Graph: 3x + 4y = 12

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Mrs. Aamir's English exam has 20 questions worth 100 points. Short answer questions are out of 3 and long answer questions are marked out of 11. How many of each type of question exist on this quiz?

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Solve graphically: 4x = -2y and x = 6

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Graph: -2y = -x + 6

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Blue Mountain resort charges $39 for a single ticket for high ropes and $29 for a single ticket for low ropes. If a day's total revenue from the sale of 540 passes is $18 910, how many tickets were sold for high ropes?

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