Systems of Equations and Inequalities

Solving systems by Graphing

Solving systems by using Substitution

Solving systems using Elimination

Linear Inequalities

Why?

1. Find the x and y intercepts When x = 0, y =-3 When y = 0, x =9/4 2. Draw the line on your graphIs it a solid or dotted line? Why? 3. Will you shade above or below the line?

Systems of Linear Inequalities

Suppose you have a job in an ice cream shop that pays $6 per hour. You also have a babysitting job that pays $4 per hour. You want to earn at least $60 per week but you don’t want to work more than 12 hours per week. a)Write a system of equations for this situation and graph the linear inequalities. b) Give three possible solutions to the system. Let x = # of hours at the ice cream shop & y = # hours babysitting. Write an inequality for the hours worked per week x + y ≤ 12 Write an inequality for the money earned during the week.6x + 4y ≥ 60 Draw the graph of this system of inequalities Select three points in the shaded region.

1. The cost of three notebooks and four pencils is $8.50. The cost of five notebooks and eight pencils is $ Determine the cost of one notebook and the cost of one pencil. [Only an algebraic solution can receive full credit.] 2. What is the solution set of the system of equations x + y = 5 and y = x 2 – 25?

3. Which ordered pair is in the solution set of the system of inequalities shown in the graph below? 1) (-2,-1) 2) (-2,2) 3) (-2,-4) 4) (2,-2) 4. What is the solution of the system of equations shown in the graph below? 1) (1,0) and (-3,0) 2) (0,3) and (0,-1) 3) (-1,-2) 4) (-2,-1)