Unit Review Linear Inequalities

Which statements are true about the graph of the system of linear inequalities? Select two options. y > 3x - 4 y < 1/2x + 1 1. The graph of y > 3x − 4 has shading above a dashed line. 2. The graph of y < 1/2x + 1 has shading below a dashed line. 3. The graphs of the inequalities will intersect. 4. There are no solutions to the system. 5. The graphs of the two inequalities intersect the y-axis at (0, 1) and (0, 4).

1. The graph of y > 3x − 4 has shading above a dashed line. 3. The graphs of the inequalities will intersect.

Which ordered pairs are in the solution set of the system of linear inequalities? y > x + 2 y < 2x + 3 A. (2, 2), (3, 1), (4, 2) B. (2, 2), (3, -1), (4, 1) C. (2, 2), (1, -2), (0, 2) D. (2, 2), (1, 2), (2, 0)

A. (2, 2), (3, 1), (4, 2)

Ori needed at least $1.47 in postage to mail an envelope to his cousin overseas. If x represents the number of $0.44 cent stamps he has and y represents the number of $0.10 cent stamps he has, the inequality representing the number of stamps he can use to mail the envelope is 0.44x+0.10y≥1.47. If Ori uses all 3 of the $0.44 cent stamps he has, what is the minimum number of $0.10 stamps he needs to use? A. 1 B. 2 C. 3 D. 5

B. 2

Which point is a solution to the linear inequality y < -1/2 x + 2? A. (2, 3) B. (2, 1) C. (3, -2) D. (-1, 3)

C. (3, -2)

The questions in the first section on a test are worth 3 points and the questions in the second section are worth 5 points. Let x represent the number of correct questions from the first section, and let y represent the number of correct questions from the second section. Sydney earned more than 80 points on the test. The inequality representing her score is 3x+5y>80. If Sydney answered 15 questions in the first section correctly, what is the minimum number of questions she must have answered correctly in the second section? A. 1 B. 2 C. 7 D. 8

D. 8

A ride at an amusement park has two options for cars, one that holds 6 passengers and one that holds 3 passengers. If the ride designer wants to make sure that each run holds at least 12 passengers, which graph represents the overall equation and shows the possible combinations of the number of 6-passenger cars, x, and the number of 3-passenger cars y (not all points may not apply to the scenario)?

D. Solid line, intersect 4(y-axis) and 2(x-axis)

Which description of the graph of the linear inequality y > 3x - 8 is correct? A. The graph will be a dashed line with a y-intercept of negative eight and a slope of three. The graph will be shaded below the line. B. The graph will be a solid line with a y-intercept of three and a slope of negative eight. The graph will be shaded above the line. C. The graph will be a solid line with a y-intercept of three and a slope of negative eight. The graph will be shaded below the line. D. The graph will be a dashed line with a y-intercept of negative eight and a slope of three. The graph will be shaded above the line.

D. The graph will be a dashed line with a y-intercept of negative eight and a slope of three. The graph will be shaded above the line.

Which is true about the solution to the system of inequalities shown? y > 3x + 1 y < 3x - 3 A. Only values that satisfy y > 3x + 1 are solutions. B. Only values that satisfy y < 3x - 3 are solutions. C. Values that satisfy either y > 3x + 1 or y < 3x - 3 are solutions. D. There are no solutions.

D. There are no solutions.

Which linear inequality is represented by the graph? A. y > 2x + 3 B. y < 2x + 3 C. y > −2x + 3 D. y < −2x + 3

D. y < −2x + 3

Which linear inequality is represented by the graph? A. y>2/3x-2 B. y<2/3x+2 C. y>2/3x+1 D. y<2/3x-1

D. y<2/3x-1

Before any dinner service, the manager confirms when the number of reservations at a restaurant is subtracted from twice the number of loaves of bread on hand must be greater than 5. Which graph represents the overall equation represented by this scenario (all points may not apply to the scenario)?

Graph shaded below the dashed line on the right. (mostly A)

Which linear inequality is graphed with y > -x - 2 to create the given solution set? A. y > x + 1 B. y < x - 1 C. y > x - 1 D. y < x + 1

y < x + 1