Exam 4: Linear Systems

Find the y-intercept for the following equation: 5y + 7 = 19

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?

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?

Graph the system x = 2y and -x - y + 3 = 0 for all values of x from x = -3 to x = 3

Solve the system of equations: x + y = 2.5 0.2x - y = 1.2

Graph: y > -2x

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?

Solve the system of equations: 3x - 8y + 72 = 0 7x = 4y - 8

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

Solve graphically: 5x - 2y = 10 and y = 5

Graph: 7x + 4y = 0

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.

Graph: 2x - 4y = 10

Solve the system of equations: - = 6 3x + 4y = 12

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

Graph: x =

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 for the following: 2x - 3y = -24 3x + 5y = 45

Solve the system of equations:

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