Exam 4: Linear Systems

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?

Solve and find the value of a,given 3a + 4b = 20 and 2a + b = 15

Find the slope of the line: 2y = 4(y + 2)

Solve graphically: 4x + 3y = 12 and 3x - 4y = -24

Graph: 7x + 4y = 0

A theatre holds 400 seats.Two types of seats are available: orchestra and balcony.The cost of an orchestra seat is $60.00 and the cost of a balcony seat is $45.00.If all 400 seats are sold the theatre would collect $22 500.00.How many of each type of seat is available?

Graph: x = 5y

The Oak Store has been producing 4640 chairs a day working two shifts.The second shift has produced 120 chairs fewer than four-thirds of the number of chairs produced by the first shift.Determine the number of chairs each shift has produced.

An electrician charges a flat fee of $90 for a home service call.In addition he charges $25 for every 20 minutes as labour cost.If one writes an equation to calculate total charges in terms of hours of labour,what will be the slope of the line?

My son and daughter were born two years apart.9 years ago,my son was twice the age of my daughter.What are their ages now?

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

Solve graphically: y = -x - 5 and x - y = 6

Graph: -2y = -x + 6

Solve graphically: 2x + 3y = -4 and x - 2y = 5

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

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

It takes a snowboarder 46 minutes to descend from an elevation of 9200 metres to an elevation of 4508 metres.What is the rate of descent (slope)per minute?

Graph: x = 7

Solve graphically: 0.2y = 0.1x + 2 and 0.3x + 0.2y = 2.4

A couple is about the get married.They decide to start a joint bank account to save for a house.They want to have an initial investment of $9000.The first partner contributes $350 more than three-quarters what the second partner contributes.How much does each partner contribute?