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Graphing Systems of Inequalities
By Rebecca Entrekin
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Last updated over 3 years ago
12 questions
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Question 1
1.
If you graph this system of inequalities, what kinds of lines will you see?
y > 2x + 7
y ⩽ x - 3
Solid line with positive slope shaded above
Solid line with positive slope shaded below
Dashed line with positive slope shaded above
Dashed line with negative slope shaded below
Dashed line with negative slope shaded above
Dashed line with positive slope shaded below
Solid line with negative slope shaded above
Solid line with negative slope shaded below
Question 2
2.
Graph this system of inequalities:
y ≤ x − 2
y > −3x + 5
We have released a new and improved Graphing question type! Students will no longer be able to answer this question.
Question 3
3.
Select all of the points that are solutions to the inequality you graphed above.
(0, -5)
(2, 3)
(0, 0)
(10, 8)
(6, -3)
(5, -7)
(3, -4)
(4, 1)
Question 4
4.
Write an ordered pair that represents a solution to this system of linear inequalities, then mark that point in the "show your work" section
visibility
View drawing
Question 5
5.
Write an ordered pair that represents a solution to this system of linear inequalities, then mark that point in the "show your work" section
visibility
View drawing
Question 6
6.
What is the inequality for the green region of this graph?
Question 7
7.
What is the inequality for the purple region of this graph?
Question 8
8.
Graph a system of inequalities with no solution
We have released a new and improved Graphing question type! Students will no longer be able to answer this question.
Question 9
9.
Write an inequality that represents the number of gift items that Elena needs
Question 10
10.
Graph your previous answer on the same graph
visibility
View drawing
Question 11
11.
Which of these are possible combinations of necklaces and bracelets that Elena could buy?
6 bracelets and 2 necklaces
3 bracelets and 5 necklaces
6 bracelets and 3 necklaces
6 bracelets and 1 necklace
4 bracelets and 4 necklaces
7 bracelets and 1 necklace
5 bracelets and 4 necklaces
8 bracelets and 0 necklaces
Question 12
12.
OPTIONAL:
Write as an ordered triple (a, b, c)