Solving Systems of Linear Inequalities - Quiz Quiz

Question 1

Which ordered pair makes both inequalities true? y is less than or equal to negative x plus 1 y is greater than x

Revolt · Accepted Answer

B: negative 2 comma 2

Question 2

Which system of linear inequalities is represented by the graph?

Revolt · Accepted Answer

D: y is greater than x minus 2  and  y is less than x plus 1

Question 3

Which ordered pairs are in the solution set of the system of linear inequalities? y is greater than or equal to negative 1 half x y is less than 1 half x plus 1

Revolt · Accepted Answer

A: 5 comma negative 2 ,  3 comma 1 ,  4 comma 2

Question 4

Which graph shows the solution to the system of linear inequalities? y is greater than or equal to 2 x plus 1 y is less than or equal to 2 x minus 2

Revolt · Accepted Answer

B: Image with description On a coordinate plane, the x-axis ranges from negative 5 to 5 in increments of 1, and the y-axis ranges from negative 7 to 3 in increments of 1. There are 2 solid lines on the graph.  The first solid line goes through the points (-2,-3) and (0, 1). Everything to the left of the solid line is shaded. The second solid line goes through the points (0,-2) and (1,1). Everything to the right of the solid line is shaded.

Question 5

Which graph shows the solution to the system of linear inequalities? x minus 4 y is less than or equal to 4 y is less than x plus 1

Revolt · Accepted Answer

A: Image with description On a coordinate plane, 2 straight lines are shown. The scale on the x and y axes ranges from negative 5 to 5. The first solid line has a positive slope and goes through the points (0 comma negative 1) and (4 comma 0). Everything to the left of the solid line is shaded. The second dashed line also has a positive slope and goes through the points (negative 1 comma 0) and (0 comma 1). Everything to the right of the dashed line is shaded.

Question 6

Which system of linear inequalities has the point 3 comma negative 2 in its solution set?

Revolt · Accepted Answer

B: y is greater than negative 3

y is greater than or equal to 2 thirds x minus 4 
 Image with description On a coordinate plane, 2 straight lines are shown. The scale on both axes ranges from negative 5 to 5 in increments of 1. The first dashed line is parallel to the x-axis at y = negative 3. Everything above the dashed line is shaded. The second solid line has a positive slope and goes through (0 comma negative 4) and (3 comma negative 2). Everything to the left of this solid line is shaded.

Question 7

Which graph shows the solution to the system of linear inequalities? y is less than or equal to 2 x minus 5 y is greater than negative 3 x plus 1

Revolt · Accepted Answer

B: Image with description On a coordinate plane, 2 straight lines are shown. The first dashed line has a negative slope and goes through (0 comma 1) and (1 comma negative 2). Everything to the right of the line is shaded. The second solid line has a positive slope and goes through (0 comma negative 5) and (2 comma negative 1). Everything to the right of the line is shaded.

Question 8

Which graph shows the solution to the system of linear inequalities? x plus 3 y is greater than 6 y is greater than or equal to 2 x plus 4

Revolt · Accepted Answer

D: Image with description On a coordinate plane, the x-axis ranges from negative 5 to 5 in increments of 1, and the y-axis ranges from negative 3 to 7 in increments of 1. There are two straight lines on the graph. The first line is a dashed line that goes through the points (0 comma 2) and (3 comma 1). Everything above the dashed line is shaded. The second line is a solid line that goes through the points (negative 2 comma 0) and (0 comma 4). Everything to the left of the solid line is shaded.

Question 9

Which graph shows the solution to the system of linear inequalities? x plus 5 y is greater than or equal to 5 y is less than or equal to 2 x plus 4

Revolt · Accepted Answer

C: Image with description On a coordinate plane, the x-axis ranges from negative 5 to 5 in increments of 1, and the y-axis ranges from negative 3 to 7 in increments of 1. There are two solid lines on the graph.  The first solid line goes through the points (0 comma 1) and (5 comma 0).  Everything above the solid line is shaded. The second solid line goes through the points (negative 2 comma 0) and (0 comma 4).  Everything to the right of the solid line is shaded.

Question 10

Which graph shows the solution to the system of linear inequalities? y is greater than or equal to 2 thirds x plus 3 y is less than negative 1 third x plus 2

Revolt · Accepted Answer

D: Image with description On a coordinate plane, the x-axis ranges from negative 5 to 5 in increments of 1, and the y-axis ranges from negative 3 to 7 in increments of 1. A dashed line goes through the point negative 1 comma 2.5 and the point 0 comma 3 and is shaded above the line. A solid line goes through the point negative 1 comma 2.5 and the point 0 comma 2 and is shaded above the line.

Solving Systems of Linear Inequalities - Quiz Quiz Answers

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