A.REI.D.12: Graphing Systems of Linear Inequalities 1 - JMAP

Regents Exam Questions

A.REI.D.12: Graphing Systems of Linear Inequalities 1

Name: ________________________



A.REI.D.12: Graphing Systems of Linear Inequalities 1

1 Which graph represents the solution of y ¡Ü x + 3 and y ¡Ý ?2x ? 2?

1)

2)

2 Given: y + x > 2

3)

4)

y ¡Ü 3x ? 2

Which graph shows the solution of the given set of inequalities?

1)

3)

2)

4)

1

Regents Exam Questions

A.REI.D.12: Graphing Systems of Linear Inequalities 1

Name: ________________________



3 What is one point that lies in the solution set of the system of inequalities graphed below?

1)

2)

(7,0)

(3,0)

3)

4)

(0,7)

(?3,5)

1

4 Which ordered pair is not in the solution set of y > ? x + 5 and y ¡Ü 3x ? 2 ?

2

3) (3,4)

1) (5,3)

2) (4,3)

4) (4,4)

5 Which point is a solution to the system below?

1)

2)

?? 1 ??

?? 1, ??

?? 2 ??

?

?

(0,6)

2y < ?12x + 4

y < ?6x + 4

?? 1 ??

3) ???? ? ,5 ????

? 2 ?

4)

(?3,2)

1

6 First consider the system of equations y = ? x + 1 and y = x ? 5 . Then consider the system of inequalities

2

1

y > ? x + 1 and y < x ? 5 . When comparing the number of solutions in each of these systems, which statement is

2

true?

1) Both systems have an infinite number of 3) The system of inequalities has more

solutions.

solutions.

2) The system of equations has more

4) Both systems have only one solution.

solutions.

2

Regents Exam Questions

A.REI.D.12: Graphing Systems of Linear Inequalities 1

Name: ________________________



7 Determine if the point (0,4) is a solution to the system of inequalities graphed below. Justify your answer.

8 Graph the following system of inequalities on the set of axes below:

?2y < 3x + 12

Label the solution set S.

x ¡Ý ?3

Allison thinks that (2,?9) is a solution to this system. Determine if Allison is correct. Justify your answer.

3

Regents Exam Questions

A.REI.D.12: Graphing Systems of Linear Inequalities 1

Name: ________________________



9 Given: 3y ? 9 ¡Ü 12

y < ?2x ? 4

Graph the system of inequalities on the set of axes below

.

State the coordinates of a point that satisfies both inequalities. Justify your answer.

4

Regents Exam Questions

A.REI.D.12: Graphing Systems of Linear Inequalities 1

Name: ________________________



10 Graph the system of inequalities on the set of axes below.

3y + 2x ¡Ü 15

y?x > 1

State the coordinates of a point in the solution to this system. Justify your answer.

5

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