IM Unit 2 Assessment Review

A chef bought $15.25 worth of ribs and chicken. Ribs cost $1.79 per pound and chicken costs $0.95 per pound. The equation 0.95c + 1.79r = 15.25 represents the relationship between the quantities in this situation. Solve the equation for c.

T-shirts cost $15. Each letter of personalization costs $1.25, and each number costs $2.50. If we were to write an equation that represents this situation, what would those variables be and what would they represent? (in other words, DEFINE your variables)

T-shirts cost $15. Each letter of personalization costs $1.25, and each number costs $2.50. Write an equation that represents the total cost of a t-shirt.

The system of equations 4x + 2y = 8 has exactly one (x, y) pair for its solution.

      3x + y = 6                                   

If we add the equations together, we get 7x + 3y = 8.  Does this change the solution to the system? Why/Why not?

The system of equations 4x + 2y = 8 has exactly one (x, y) pair for its solution.

      3x + y = 6                                   

If we multiply the 2nd equation by -2, we get -6x - 2y = -12.  Does this change the solution to the system? Why/Why not?