Constraints System of Linear Inequalities

Constraints System of Linear Inequalities

9th - 11th Grade

8 Qs

quiz-placeholder

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Constraints System of Linear Inequalities

Constraints System of Linear Inequalities

Assessment

Quiz

Mathematics

9th - 11th Grade

Hard

CCSS
HSA.REI.D.12, 6.EE.B.8

Standards-aligned

Created by

Barbara White

FREE Resource

8 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

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In other words...what are the 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

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

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When graphing constraints, what do you call the area where all the shading overlaps?

the answer

the feasible region

the void

the objective function

Tags

CCSS.HSA.REI.D.12

3.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

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Solve the system of inequalities. The feasible region is shown by the darkest blue shading.

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Tags

CCSS.HSA.REI.D.12

4.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

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Which of the following inequalities matches the given graph?
x ≥ -1
x ≤ -1
x > -1
x < -1

Tags

CCSS.6.EE.B.8

5.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

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Which of the following inequalities matches the given graph?
y ≤ -3/4 x + 3
y ≥ -3/4 x + 3
y < -3/4 x + 3
y > -3/4 x + 3

Tags

CCSS.HSA.REI.D.12

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

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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

7.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

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Which system of inequalities matches the graph?
y > 2x - 4
y < 2
y < 2x - 4
y < 2
y > 2x - 4
<  2 
y < 2x - 4
<   -2

Tags

CCSS.HSA.REI.D.12

8.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

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Which system of inequalities is shown?
y ≥ -x - 1
y < x + 4
y < -x - 1
 y ≥ x + 4
y > -x - 1
y ≥ x + 4
y > -x - 1
y ≥ x + 3

Tags

CCSS.HSA.REI.D.12