AnswersDRHS-GA-Algebra Concepts and Connections ASolving Systems of Linear Inequalities

Solving Systems of Linear Inequalities — Unit test Answers

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1
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Which statement describes the system of equations?

Question illustration
A
It has one solution (4, –4).
B
It has one solution (8, –9).
C
The system has no solution.
D
The system has infinitely solutions.
3

Which graph shows the solution to the following system of inequalities?

Question illustration
A
mc020-2.jpg
Option A
B
mc020-3.jpg
Option B
C
mc020-4.jpg
Option C
D
mc020-5.jpg
Option D
5

Which statement describes the solution to the system of equations?

Question illustration
A
The system has exactly one solution.
B
The system has exactly two solutions.
C
The system has no solutions.
D
The system has infinitely many solutions.
8

Given that the solution set to a system of three linear equations is a line, which of the following is true about the system?

A
The system can be either inconsistent or consistent.
B
The system can be either independent or dependent.
C
The system can only be independent and consistent.
D
The system can only be dependent and consistent.
9

Which ordered pairs make both inequalities true? Select two options. y x + 1 (–1, 3)(0, 2) (1, 2)(2, –1)(2, 2)

Question illustration
A
(–1, 3)
B
(0, 2)
C
(1, 2)
D
(2, –1)
E
(2, 2)
11

Which statement correctly explains how Andre could find the solution to the following system of linear equations using elimination?

Question illustration
A
Multiply the first equation by –7 and the second equation by 8, and then subtract.
B
Multiply the first equation by -7 and the second equation by 8, and then add.
C
Multiply the first equation by 2 and the second equation by 9, and then add.
D
Multiply the first equation by –2 and the second equation by 9, and then subtract.
15

What is the solution to the following system?

Question illustration
A
x = 1, y = –3, z = –1
B
x = 1, y = –3, z = 1
C
x = 1, y = 3, z = 19
D
x = 1, y = 3, z = –2
18

Mark is solving the following system.Step 1: He multiplies equation (1) by 7 and adds it to equation (3). Step 2: He multiplies equation (3) by 2 and adds it to equation (2). Which statement explains Mark’s mistake?

Question illustration
A
He added equation (3) instead of equation (2) in step 1.
B
He did not multiply equation (3) by the same number as equation (1).
C
He did not eliminate the same variables in steps 1 and 2.
D
He added equation the equations in step instead of subtracting them.
20

What is the solution to the system of equations?

Question illustration
A
(11, 1)
B
(1, 11)
C
(–1, 11)
D
(11, –1)

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