Constraints Systems of Inequalities

Quiz
•
Mathematics
•
10th Grade
•
Hard
Standards-aligned
Anthony Clark
FREE Resource
15 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Find the values of x and y that maximize the objective function P = 3x + 2y for the graph. What is the maximum value?
maximum value at (5, 4); 32
maximum value at (0, 8); 16
maximum value at (9, 0); 27
maximum value at (0, 0); 0
2.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Which point is a solution?
(0, 6)
(-3, 4)
(1, 0)
(-4, 3)
Tags
CCSS.HSA.REI.D.12
3.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
You graph using Desmos.com and get the following graph. Which are vertices of the feasible region?
(0, 0), (0, 6),
(6, 2), (8, 0)
(0, 0), (6, 0),
(2, 6), (0, 8)
Tags
CCSS.HSA.REI.D.12
4.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Sarah makes small purses (x) and big purses (y). She can make no more than 8 purses a week.
Which inequality represents the situation?
x + y ≤ 8
x + y > 8
2x + 3y ≤ 6
x + y ≤ 10
5.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
It takes Sarah 2 hours to make small purses and 3 hours to make big purses. She has a maximum of 18 hours a week. Which inequality represents this situation?
2x + 3y ≤ 18
x + y ≤ 6
x + y ≤ 9
3x + 2y ≤ 18
6.
MULTIPLE SELECT QUESTION
1 min • 1 pt
Due to the face that Sarah cannot make a negative number of purses, what other constraints does she have?
x≥0
y≥0
x≤0
y≤0
Tags
CCSS.HSA.REI.D.12
7.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Which inequality is shown in the graph?
y < 3x - 2
y > 3x - 2
y ≤ 3x - 2
y ≥ 3x - 2
Tags
CCSS.HSA.REI.D.12
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