Algebra II Honors --Unit 2 Lesson 1. Solving Linear Systems by Graphing.

Graph the solution for the following system of inequalities. Click on the graph until the correct solution is displayed. x + y > 3 x + y < -4

( It's the graph that has no solution)

Click on the solution set graphic until the correct one is displayed.

Point in Quadrant 1 ( has a cross with two slightly horizontal lines going across the top on y axel )

Gas costs $3 per gallon and diesel costs $5 per gallon. You have at most $43 to spend on fuel. You must purchase at least 8 gallons of gas for your car to run for the week. Let x be the amount of gas purchased and y be the amount of diesel purchased. What is a possible solution? (10,8) (10, -8) (2,10) (10,2)

(10,2)

Solve the following system by graphing. x - y = 4 x + y = 2 What is the solution of the system? (3, -1) (3, 1) (-1, 3)

(3, -1)

Solve the following system by graphing. x + y - 6 = 0 x - y = 0 What is the solution of the system? (-3, 3) (3, -3) (3, 3)

(3, 3)

What is the solution of the system shown? (2, 2) (2, 3) (3, 2)

(3,2) count across and then go up two. ( has a cross and has three lines on the y axel and 4 lines on the x axel and it intersects on 3,2)

Which is a solution for the following system of inequalities? x+y > 2 2x - y > 1 ( 0,4) (4,0) (2,0) (0,2)

(4,0)

Graph the solution for the following system of inequalities. Click on the graph until the correct solution is displayed. y ≤ x x + y ≥ 1

(It's the graph that has a wide V shape, almost like a roof, it's on the right side of the graph and the point is in the middle of a square very close to 0 )

Solve the following system of equations graphically. Click on the graph until the correct solution of the system appears. y = -3 x - y = 8

(It's the graph that has the two lines intersecting at the top, one is horizontal and the other is diagonal , count across 5 and go up 3)

Graph the solution for the following system of inequalities. Click on the graph until the correct solution is displayed. 2x + y < 0 y ≥ -4 - 2x

(it's the diagonal graph that has the solid line on the left and dotted on the right it starts from x to y and it's more to the left)

Which of the following is an inequality that represents the following scenario: Peter is at a local burger shop. He wants to purchase burgers and fries from the store. The cashier tells him that burgers are $5 each and fries are $2 each. Peter has only $15 to spend on food. Let y represent the number of fries purchased and let x represent the number of burgers purchased. 5x + 2y ≤ 15 5x + 2y ≥ 15 2x + 5y ≤ 15 2x + 5y ≥ 15

5x + 2y ≤ 15

The system shown is _____. consistent equivalent inconsistent

consistent ( has a cross and has three lines on the y axel and 4 lines on the x axel and it intersects on 3,2)

The system shown is _____. consistent equivalent inconsistent

consistent ( has a cross with two slightly horizontal lines going across the top on y axel )

Click on the solution set graphic until the correct one is displayed.

empty set ( has a cross and two independent lines going diagonal)

The following system of equations is _____. y = - 1/3x + 2/3 2x + 6y = 4 independent equivalent inconsistent

equivalent

The system shown is _____. equivalent independent inconsistent

equivalent ( has a cross with what looks like two lines on top of each other going diagonally on the top right starting from x trailing up to y)

The linear system shown is _____. independent equivalent inconsistent

inconsistent ( has a cross and two independent lines going diagonal)

Click on the solution set graphic until the correct one is displayed.

infinite amount of points ( has a cross with what looks like two lines on top of each other going diagonally on the top right starting from x trailing up to y)