Exam 4: Linear Systems

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?

Solve the system of equations: 6x + 5y = 30 4x - 3y = 24

Solve the system of equations: 5x = 10 - 2y 5y = 3x - 30

Twice the larger number is greater than three times the smaller number by 19. The sum of the larger number plus one-third of the smaller number is 26. Find the two numbers.

Solve the system of equations: 28 - 7x = 4y 36 - 4y = 3x

Find the slope of the line: 4y = 5(y + 3)

Find the slope and y-intercept: 3y - 5 = 2(x - 2)

Sobeys sells fruit trays consisting of pineapple and melons. The manager of the fruit department obtains pineapples at a wholesale price of $2.50 per kg, grapes at $2.15 per kg, strawberries at $1.50 per kg and melons at $1.85 per kg. He is required to produce 10 kg of the mixed fruit. He is required to add 2 kg of strawberries and 3 kg of grapes. What is the maximum weight of pineapple that he can put in the mix in order to have an effective wholesale cost no greater than $2.00 per kg?

Find the slope and y-intercept: -6y - 24 = 5x

Solve and find the value of y, given 3x + 5y = 5 and x + 2y = 1

Find the slope and y-intercept: 4 - y = 2x

Find the slope of the line: 2y = 5(x + 2)

Solve the system of equations: 4x + 3y = 36 2x + 9y = -18

Find the slope and y-intercept: 4.5x + 9y = 81

Solve and find the value of x, given: = and x + 5y = 38

Solve graphically: 2y = x + 200 and 3x + 2y = 240

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?

Bonny and Clyde divide a profit of $15 700. If Clyde is to receive $4200 more than one-fifths of Bonny's share, how much will Bonny receive?

Graph: x = 5y

Graph: -2y = -x + 6