AnswersAlgebra 2 - Semester 1 PathwaysTwo-Variable Linear Inequalities

Two-Variable Linear Inequalities Answers

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3

Jeremy works two jobs. He makes $8/hr working at a deli and $12/hr working for a landscaper. Let x represent the number of hours he works at the deli, and let y represent the number of hours he works for the landscaper. What do the solutions of the inequality represent?

Question illustration
A
combinations of the hours he can work at the two jobs and earn at least $300
B
combinations of the hours he can work at the two jobs and earn at most $300
C
combinations of the hours he can work at the two jobs and earn less than $300
D
combinations of the hours he can work at the two jobs and earn more than $300
4

The school auditorium has 900 seats. The inequality, with x representing adults and y representing children, can be solved to find the possible combinations of adults and children attending an event. Which reason describes why the ordered pair (450, 450) must be included in the solution set of the inequality?

Question illustration
A
The ordered pair is in the shaded region of the graph of the inequality.
B
The context of the problem allows only integer solutions.
C
The x-value is equal to the y-value.
D
The ordered pair is on the boundary line of the graph of the inequality.
5

Mark and Nora both work at the same pet store. The inequality relates x, the number of hours Mark works each week, and y, the number of hours that Nora works. Which ordered pair must be included in the solution set of the inequality when interpreted in the context of the problem?

Question illustration
A
(–7, 20)
B
(0, 0)
C
(8, 2)
D
(13, –28)
6

Which inequality is graphed below?

Question illustration
A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
7

Which graph represents ?

Question illustration
A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
8

Which inequality has a solid boundary line when graphed?

A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
9

Which phrase includes “being equal to 50”?

A
at most 50
B
fewer than 50
C
exceeds 50
D
below 50
10

Which inequality has a solid boundary line when graphed?

A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
11

A grocery store sells almonds for $7/lb and peanuts for $5/lb. Let x represent the number of pounds of almonds, and let y represents the number of pounds of peanuts. Which inequality can be used to find how much of each type of nut can bought without spending more than $10?

A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
12

Which phrase is equivalent to “Franco must work a minimum of 32 hours”?

A
The number of hours Franco works must be less than 32.
B
The number of hours Franco works must be greater than 32.
C
The number of hours Franco works must be less than or equal to 32.
D
The number of hours Franco works must be greater than or equal to 32.
13

Which inequality is graphed below?

Question illustration
A
3x + 2y < –6
B
3x + 2y > –6
C
3x – 2y > 6
D
3x – 2y < 6
14

Which notation best represents the phrase “at least 24”?

A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D

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