AnswersAlgebra Concepts and ConnectionsTwo-Variable Linear Inequalities

Two-Variable Linear Inequalities — Quiz Answers

10 verified answers1 views
1
Free Preview

Which inequality is graphed?

A
3 x plus 2 y is less than negative 6
B
3 x plus 2 y is greater than negative 6
C
3 x minus 2 y is greater than 6
D
3 x minus 2 y is less than 6
2
Free Preview

The school auditorium has 900 seats. The inequality x plus y is less than or equal to 900 , with x representing adults and y representing children, can be solved to find the possible combinations of adults and children attending an event. Which reason describes why the ordered pair open paren 450 comma 450 close paren must be included in the solution set of the inequality?

A
The ordered pair is on the boundary line of the graph of the inequality.
B
The context of the problem allows only integer solutions.
C
The x -value is equal to the y -value.
D
The ordered pair is in the shaded region of the graph of the inequality.
3

Which inequality has a solid boundary line when graphed?

A
x plus y is less than 7
B
y plus 7 x is greater than 7
C
y plus x is less than or equal to 7
D
x plus 7 y is greater than 7
4

Which graph represents y is less than or equal to negative 3 x ?

A
Image with description On a coordinate plane, the x-axis labeled "x" ranges from negative 5 to 5 in increments of 1, and the y-axis labeled "y" ranges from negative 5 to 5 in increments of 1.The line passes through the quadrants 1, and 3, passing through the points "negative 1 comma negative 3","0 comma 0" and "1 comma 3". Both ends of the line terminate with arrowheads at "negative 1 point 5 comma 5" and "1 point 5 comma negative 5". The entire region to the right of the line is shaded in a light tan color, representing a half-plane inequality.
B
Image with description On a coordinate plane, the x-axis labeled "x" ranges from negative 5 to 5 in increments of 1, and the y-axis labeled "y" ranges from negative 5 to 5 in increments of 1. The line passes through the quadrants 2, and 4 and through the points "negative 1 comma 3","0 comma 0" and "1 comma negative 3". Both ends of the line terminate with arrowheads at "negative 1 point 5 comma 5" and "1 point 5 comma negative 5". The entire region to the left of the line is shaded in a light tan color, representing a half-plane inequality.
C
Image with description On a coordinate plane, the x-axis labeled "x" ranges from negative 5 to 5 in increments of 1, and the y-axis labeled "y" ranges from negative 5 to 5 in increments of 1. A straight line is drawn passing through the points "negative 1 comma negative 3","0 comma 0" and "1 comma 3". Both ends of the line terminate with arrowheads at "1 point 5 comma 5" and "negative 1 point 5 comma negative 5". The entire region to the left of the line is shaded in a light tan color, representing a half-plane inequality.
D
Image with description On a coordinate plane, the x-axis labeled "x" ranges from negative 5 to 5 in increments of 1, and the y-axis labeled "y" ranges from negative 5 to 5 in increments of 1. A straight line is drawn passing through the points "negative 1 comma 3","0 comma 0" and "1 comma negative 3". Both ends of the line terminate with arrowheads at "negative 1 point 5 comma 5" and "1 point 5 comma negative 5". The entire region to the right of the line is shaded in a light tan color, representing a half-plane inequality.
5

Which notation best represents the phrase “no more than 200 ”?

A
is less than or equal to 200
B
is less than 200
C
is greater than or equal to 200
D
is greater than 200
6

Which inequality has a dashed boundary line when graphed?

A
y is greater than 3 x plus 1
B
y is less than or equal to 7 x minus 1
C
y is greater than or equal to 3 fifths x plus 1
D
y is greater than or equal to negative 1 third x plus 1
7

Which inequality has a solid boundary line when graphed?

A
y is less than 1 ninth x plus 9
B
y is less than negative x minus 9
C
y is greater than or equal to 9 x plus 9
D
y is greater than negative 1 ninth x
8

Which phrase includes “being equal to 50”?

A
at most 50
B
below 50
C
fewer than 50
D
exceeds 50
9

Which notation best represents the phrase “at least 24 ”?

A
is greater than or equal to 24
B
is greater than 24
C
is less than 24
D
is less than or equal to 24
10

Which inequality is graphed?

A
y is greater than negative 1 half x plus 2
B
y is greater than or equal to negative 1 half x plus 2
C
y is less than or equal to negative 1 half x plus 2
D
y is less than negative 1 half x plus 2

Did you find these answers helpful?

More from this Course

Quiz
10 verified answers

Quiz

Quiz
10 verified answers

Quiz

Quiz
10 verified answers

Quiz

Two-Variable Linear Inequalities — Quiz Answers…