Question 1

Which of the following represents the graphical representation of a system of linear inequalities?

Accepted Answer

a

Answer

single point on the plane

Answer

shaded region in the plane

Answer

equation of a line

Answer

none of the above

Question 2

What is the solution to the system of inequalities: y > 2x - 1 and y < -x + 3?

Accepted Answer

c

Answer

(1, 3)

Answer

(0, 1)

Answer

(-2, 7)

Answer

(0, 2)

Question 3

Which of the following is true for a point that lies on the boundary line of a system of linear inequalities?

Accepted Answer

b

Answer

it does not satisfy any of the inequalities

Answer

it satisfies all of the inequalities

Answer

it satisfies at least one of the inequalities

Answer

none of the above

Question 4

What is the solution to the system of inequalities: y > x + 2 and y > -2x + 3?

Accepted Answer

d

Answer

(2, 4)

Answer

(-2, 1)

Answer

(2, 5)

Answer

(1, 3)

Question 5

Which of the following is true for a system of linear inequalities with no solution?

Accepted Answer

c

Answer

the system has exactly one solution

Answer

none of the above

Answer

the system has no solution

Answer

the system has infinitely many solutions

Question 6

What is the solution to the system of inequalities: y > -x - 1 and y < x + 2?

Accepted Answer

b

Answer

(1, 4)

Answer

(-2, 0)

Answer

(-1, 1)

Answer

(0, 3)

Question 7

Which of the following represents the solution set of a system of linear inequalities?

Accepted Answer

b

Answer

the set of all points that satisfy all of the inequalities

Answer

none of the above

Answer

a single point on the plane

Answer

the equation of a line

Question 8

What is the solution to the system of inequalities: y < -x + 1 and y > -x - 3?

Accepted Answer

d

Answer

(-2, -1)

Answer

(0, 2)

Answer

(-2, 1)

Answer

(1, 3)

Question 9

Which of the following is true for a system of linear inequalities with infinitely many solutions?

Accepted Answer

a

Answer

none of the above

Answer

the system has exactly one solution

Answer

the system has a solution set that is a bounded region

Answer

the system has a solution set that is an unbounded region

Question 10

What is the solution to the system of inequalities: y < -3x + 1 and y < 2x - 3?

Accepted Answer

c

Answer

(1, -1)

Answer

(-2, -8)

Answer

(-1, -4)

Answer

(0, -3)

Question 11

What is the solution set of the system -3x + 2y ≥ 6, 2x + y < 4?

Accepted Answer

(3,0)

Answer

(-3,0)

Answer

(0,3)

Question 12

What is the slope of the line 2x - 4y = 8?

Accepted Answer

1/2

Answer

2

Answer

-2

Question 13

Which quadrant(s) contain solutions to the system x - y < 0, x + y > 2?

Accepted Answer

I and III

Answer

I only

Answer

II and IV

Question 14

What is the solution set of the system x ≥ 0, y ≥ 0, x + y > 3?

Accepted Answer

{(x,y) | x ≥ 0, y ≥ 0, y > -x + 3}

Answer

{(x,y) | x > 0, y > -x + 3}

Answer

{(x,y) | x > 0, y > 0}

Question 15

What is the slope of the line y = -5x + 2?

Accepted Answer

-5

Answer

1/5

Answer

5

Question 16

What is the solution set of the system x + y < 2, x + y > -2, x - y > 0?

Accepted Answer

{(x,y) | x > 0, -x < y < 2-x}

Answer

{(x,y) | x > 0, -2 < y < 2}

Answer

{(x,y) | x > 0, -x < y < 2}

Question 17

Which of the following is a constraint for the system x ≥ 0, y ≥ 0, x + y ≤ 4?

Accepted Answer

x + y ≤ 4

Answer

x > 0

Answer

x + y > 4

Answer

y > 0

Question 18

What is the solution set of the system 3x - y > 0, -x + 2y > 3, x + y < 5?

Accepted Answer

{(x,y) | 2 < x < 3, 1 < y < 2}

Answer

{(x,y) | 2 < x < 3, 1 < y < 2, x + y < 5}

Answer

{(x,y) | 0 < x < 5, 0 < y < 5}

Answer

{(x,y) | x > 0, y > 0}

Related quizzes

Related quizzes