Exam 4: Linear Systems

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

It takes a car 10 seconds to increase its speed from 60 k/hr to 90 k/hr. What is the rate of acceleration (slope) in k/hr/sec?

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

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

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

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

Graph: 5x + 4y = 20

Graph: x = -4

Find the y-intercept for the following equation: 8x = 2 + y

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.

Solve for x and y: 7x + 3y = 42 4x + 6y = 36

Graph: y = 3 - 2x

Solve the system of equations: 0.8x + 0.3y = 1.3 0.3x + 0.2y = 1.1

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?

Graph: x + 4y = 8

Find the slope of the following: 2y - 3x = 6

Find the slope of the following: x + 5y = 10

Solve the system of equations: + = + =

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.