Graphing
Writing
Graphing Systems
Writing Systems
100
Allan graphed a linear inequality. Which point is considered a part of the solution set?
A. (−2, −5)
B. (−4, −3)
C. (8, −8)
D. (6, 2)
D. (6, 2)
100
A grill at a barbecue restaurant will be used to cook sausage links that are 2 lb each and briskets that are 6 lb each. No more than 120 lb of sausage links and briskets will be cooked on the grill. Which inequality represents all possible combinations of x, the number of sausage links that will be cooked on the grill, and y, the number of briskets that will also be cooked?
A. 6x+ 2y < 120
B. 2x+ 6y ≤ 120
C. 6x+ 2y > 120
D. 2x+ 6y ≥ 120
B. 2x + 6y ≤ 120
100
Whitney graphed the system of inequalities shown here.
y > -3x - 6
y<= 5/2x + 5
Select the section of the graph that represents the solution to the system of inequalities.
A. Section A
B. Section B
C. Section C
D. Section D
A. Section A
100
Over 150 tickets have been sold for the school play. Each adult ticket costs $8 and each student ticket costs $5. A minimum of $1,020 in ticket sales has been collected. Which system of equations can be used to determine the number of adult tickets, x, and the number of student tickets, y?
D. x + y > 150
8x + 5y ≥ 1,020
200
Which ordered pair is in the solution set of
2x + 6y ≤ 18?
A. (0, 3)
B. (−5, 6)
C. (7, 2)
D. (−9, 8)
A. (0, 3)
200
Emily tutors students in both science and math. She charges $40 per hour for math tutoring and charges half of that for science tutoring. She wants to earn at least $240 per week. Write an inequality to represent Emily's goal in terms of the number of hours she spends tutoring each subject. Use x to represent the number of hours she tutors in science and y to represent the number of hours she tutors in math each week.
A. 40x + 20y ≥ 240
B. 20x + 40y > 240
C. 40x + 20y > 120
D. 20x + 40y ≥ 240
D. 20x+ 40y ≥ 240
200
Which ordered pair is a solution to the following system of inequalities?
4x − 2y < 8
y ≥ −x − 1
A. (−2, −3)
B. (4, 5)
C. (1, −3)
D. (−4, 2)
B. (4, 5)
200
James has a job mowing lawns that pays $6 per hour. He also has a job at a clothing store that pays $9 per hour. He works at least double the hours mowing lawns than he works at the clothing store. James needs to earn more than $60 a week. Which system represents this scenario, where x represents the number of hours he mows lawns, and y, the number of hours he works at the clothing store?
B. 6x + 9y > 60
y ≥ 2x
300
Ms. Bennett asked her students to graph the inequality
y <= 3/4x-4
. Which graph represents the inequality?
B.
300
Mr. Ramirez graphed the boundary line of a linear inequality. If the area shaded includes point B, which inequality would represent the solution area?
A.
y< -2/3x+1
B.
y< -3/2x+1
C.
y> -2/3x+1
D.
y> -3/2x+1
D.
y> -3/2x+1
300
Fred graphs a system of linear inequalities with no solution set. Which system represents a possible system Fred graphed?
A. y ≥ 3x + 9
y ≤ −3x − 4
B. y ≥ 3x + 9
y ≥ 3x − 4
C. y ≥ 3x + 9
y ≤ 3x − 4
D. y≤ −3x + 9
y ≤ 3x − 4
C. y ≥ 3x + 9
y ≤ 3x − 4
300
Ms. Alvarez placed a graphed system of linear inequalities on the board. Write a system of linear inequalities is best represented by the graph.
y>= -2x + 8
y > 1/3x+2
400
Kenneth graphed the inequality 4x + 6y ≥ 54. Which graph represents the inequality?
C.
400
Mrs. Conner read the following question to her students in Algebra 1 class.
“The graph of an inequality is described as having a solid boundary line, and a shaded region above the solid boundary line, that represents the solution set.”
Which of the following inequality could represent the graph described above?
A. y > 2x 3
B. −5y > 15x − 20
C. 4x + 7y ≥ 28
D. 3x − 4y ≥ 24
C. 4x + 7y ≥ 28
400
Which graph represents the following system?
4x − 3y < 12
2y ≤ -4x + 16
B.
400
D. 3x − 4y ≤ 12
3x − 4y ≥ −24
500
A college student has two different jobs. Her combined work schedules consist of no more than 48 hours in one week. Which graph best represents the solution set for all possible combinations of x, the number of hours she worked at her first job, and y, the number of hours she worked at her second job, in one week?
A.
500
Alexander graphed a linear inequality on the coordinate plane. Which inequality is best represented by the graph?
A. 4x − 6y < 6
B. 2x − 3y ≥ 1
C. 2x − 6y > −1
D. 2x − 3y < −3
D. 2x − 3y < −3
500
Which graph shows the solution set of this system of inequalities?
5x + 3y ≥ 18
y <= -7/3
A.
500
Hector graphed the boundary lines for a system of linear inequalities. If Hector shaded the area with point D, what will be the system of linear inequalities?
y>= -5x+3
y<4/5x+1