Constraints Systems of Inequalities

Constraints Systems of Inequalities

10th Grade

15 Qs

quiz-placeholder

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Constraints Systems of Inequalities

Constraints Systems of Inequalities

Assessment

Quiz

Mathematics

10th Grade

Hard

CCSS
HSA.REI.D.12

Standards-aligned

Created by

Anthony Clark

FREE Resource

15 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

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

Media Image

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

Media Image

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

Media Image

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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