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Systems of Inequality Constraints

Authored by Anthony Clark

Mathematics

9th Grade

CCSS covered

Systems of Inequality Constraints
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11 questions

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1.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

The _____________________________ is the intersection of the solutions to each inequality. Every point in the intersection region satisfies all inequalities in the system.

System of Linear Equations

Consistent Systems

Inconsistent Systems

Solution of a System of Linear Inequalities

Tags

CCSS.HSA.REI.D.12

2.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

In a system of linear inequalities, the inequalities are known as _____________ because the values of the expressions are “constrained” to lie within a certain region on the graph.

Linear Combination Method

Half-plane

Boundary line

Constraints

Tags

CCSS.HSA.REI.D.12

3.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

A ______________, determined by the inequality in a linear inequality, divides the plane into two half-planes and the inequality symbol indicates which half-plane contains all the solutions.

Linear Combination Method

Half-plane

Boundary line

Constraints

Tags

CCSS.HSA.REI.D.12

4.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Two or more inequalities that represent the constraints in the same situation.

system of inequalities

system of equations

equations

expressions

Answer explanation

Two or more inequalities that represent the constraints in the same situation form a system of inequalities.

5.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

All pairs of values that make the inequalities in a system true are solutions to the system. This can be represented by the points in the region where the graphs overlap.

solutions to a system of inequalities

system of inequalities

system of equations

variables

Answer explanation

Solutions to a system of inequalities are all pairs of values that make the inequalities in a system true are solutions to the system. The solutions to a system of inequalities can be represented by the points in the region where the graphs of the two inequalities overlap.

Tags

CCSS.HSA.REI.D.12

6.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

A limitation on the possible values of variables in a mode, often expressed by an equation or inequality or by specifying that the value must be an integer.

constraint

model

constant of proportionality

representation

Answer explanation

A constraint is a limitation on the possible values of variables in a mode, often expressed by an equation or inequality or by specifying that the value must be an integer.

For example, distance above the ground, d, in meters, might be constrained to be non-negative, expressed by d is greater than or equal to 0.

7.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

Which of the following points is a solution to the system of inequalities?

(5,2)

(-4,-4)

(1,-5)

Tags

CCSS.HSA.REI.D.12

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