Exam 3: When Lines Meet: Linear Systems

On the grid provided, graph and shade in the areas described by the linear inequality:

In a typical overtime pay scheme workers are paid at a fixed hourly rate for the first 40 hours they work, and for any hours beyond 40 they are paid at 1.5 times their hourly rate. For example, a worker who makes $16 per hour and works 45 hours, 5 of which are overtime at 1.5 x 16 = $24 per hour, will make: (16$/hr x 40 hr) + (24 $/hr x 5 hr) = $640 + $120 = $760 Complete the function that describes the pay, P, for a worker making $10 as a function of the hours worked, h, for up to 60 hours by finding the unknown values (A, B, C, D, and E) in the function,

Estimate the solutions of the system of equations pictured.

AAA Car Rental charges $44 per day plus $0.15 for each mile driven. CCC Car Rental charges $29 per day plus $0.2 per mile driven. A) Write a linear function that gives the cost, C, to rent a car for one day from AAA Car Rental as a function the number of miles driven, m. B) Write a linear function that gives the cost, C, to rent a car for one day from CCC Car Rental as a function the number of miles driven, m. C) How many miles must you drive in one day before AAA Car Rental is your better choice?

Determine whether is a solution to the following system.

Determine the number of solutions of the system.

Solve the system of equations using elimination. 3x + 2y - 3z = 15 2x - 3y + 4z = -15 2x - 3y - 2z = -3

State whether the system of equations has "One solution", "No solution", or "Infinitely many solutions". -3x + y = 11 -2x + 3y = 12

On the grid provided, graph and shade in the areas described by the compound inequality:

The following graph represents the annual operating expenses and the annual sales (both in $1,000s) for a new graphics business. In what year did sales finally equal expenses?

Evaluate the piecewise function. Evaluate

Use the graph to find the value for each unknown (A, B, C, D, and E) in the function.

Solve the system by elimination.

Solve the system by substitution.

Solve the system.

Solve the system by elimination.

On the grid provided, graph and shade in the areas described by the linear inequality: x < 3

Solve the system by elimination.

Select an inequality to describe the shaded region.

Determine whether is a solution to the following system.