F, G, and H Do not go through (0, -2) ! 2-A)Which graph best represents the equation of the line that passes through the point (0, -2) and that has a slope of (1/3) ? LET US EXAMINE J MORE CLOSELY! F G H F, G, and H Do not go through (0, -2) ! J goes through (0, -2) and has a slope of (1/3)! K goes through (0, -2) , but has negative slope! J K OBJECTIVE 2

2-A)Which graph best represents the equation of the line that passes through the point (0, -2) and that has a slope of (1/3) ? J A B TO FIND THE SLOPE, WE GO FROM POINT A TO POINT B AND NOTICE THE CHANGE IN THE COORDINATES: 2 UNITS UP 1 = 3 6 UNITS RIGHT SO, J HAS THE RIGHT SLOPE, (1/3), AND GOES THROUGH (0, -2). OBJECTIVE 2

2-B)Which graph represents the solution for which x + y 4? TO ANSWER THIS QUESTION, WE NEED TO HAVE y BY ITSELF ON THE LEFT SIDE OF  . MOVE X TO THE RIGHT SIDE AND CHANGE ITS SIGN: y  4 - X NOW, LET’S COMPARE OUR GRAPH WITH THE ONES GIVEN. NOW, WE GRAPH y = 4 - X AND PICK A POINT FROM ONE SIDE OF THE LINE TO TEST. IF THE POINT MAKES x + y 4 A TRUE STATEMENT, WE SHADE THE SIDE THE POINT WAS PICKED FROM; IF NOT, WE SHADE THE OPPOSITE SIDE: TEST POINT (1, 5) THIS IS NOT A TRUE STATEMENT, SO WE SHADE THE OPPOSITE SIDE x + y 4 1 + 5 4 6 4 OBJECTIVE 2

THIS SIDE SHOULD BE SHADED 2-B)Which graph represents the solution for which x + y 4? F WRONG GRAPH RIGHT SHADING! THIS SIDE SHOULD BE SHADED CORRECT GRAPH WRONG SHADING! H K HAS THE CORRECT GRAPH AND SHADING! WRONG GRAPH WRONG SHADING! J WRONG GRAPH WRONG SHADING! G K OBJECTIVE 2

CREATED BY R.KHADEM/ Adapted by Rene Patterson End-of-Course Test Algebra I THIS IS THE END OF OBJECTIVE 2 REVIEW. YOU NEED TO WORK OUT THE PROBLEMS RELATED TO THIS OBJECTIVE. YOUR TEACHER WILL PROVIDE YOU WITH THE WORKSHEETS. WE WILL COVER OBJECTIVE 3 NEXT. CREATED BY R.KHADEM/ Adapted by Rene Patterson