AnswersAISD Algebra II A Credit Recovery 2026-2027Absolute Value Functions and Translations

Solving 3 x 3 Linear Systems Answers

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1
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A system of three linear equations in three variables is consistent and independent. How many solutions to the system exist?

A
none
B
one
C
three
D
infinitely many
2
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What is the solution to the following system?

Question illustration
A
x = –53, y = –2, z = 7
B
x = –41, y = –2, z = –7
C
x = –11, y = –2, z = –7
D
x = 1, y = –2, z = 7
3

What is the solution to the following system?

Question illustration
A
(3, 1, 0)
B
(0, 1, 0)
C
(2, 1, 0)
D
(–2, 1, 0)
4

Several customers order small fruit baskets filled with apples, bananas, and oranges. Let a represent the price per pound of apples, b represent the price per pound of bananas, and c represent the price per pound of oranges. The system represents the number of pounds of each type of fruit and the total price of each fruit basket. How much per pound does each type of fruit cost?

Question illustration
A
apples: $2.00/lb, bananas: $0.50/lb, and oranges: $3.00
B
apples: $2.00, bananas: $1.50/lb, and oranges: $3.00/lb
C
apples: $2.50/lb, bananas $0.25/lb, and oranges: $3.00/lb
D
apples: $2.50, bananas: $0.75, oranges: 3.00/lb
5

What is the solution to the following system?

Question illustration
A
x = 10, y = 2, z = 5
B
x = –4, y = 2, z = 5
C
x = 0, y = 2, z = 5
D
x = 4, y = 6, z = 5
6

Which classification describes the following system of equations?

Question illustration
A
inconsistent and dependent
B
consistent and dependent
C
consistent and independent
D
inconsistent and independent
7

Which classification describes the following system of equations?

Question illustration
A
inconsistent and dependent
B
consistent and dependent
C
consistent and independent
D
inconsistent and independent
8

A system of three linear equations in three variables is consistent and dependent. How many solutions to the system exist?

A
none
B
one
C
three
D
infinitely many
9

What is the solution to the following system?

Question illustration
A
(8, 40, 32)
B
(10, 2, 3)
C
(20, 4, 5)
D
(40, 8, 10)
10

The cost for three packages of moving boxes is modeled by the system of equations below. Let s represents the cost of each small box, m represents the cost of each medium box, and l represents the cost of each large box. Which ordered triple (s, m, l) represents the costs of the three boxes?

Question illustration
A
(1.00, 2.50, 3.50)
B
(1.00, 2.00, 2.90)
C
(1.50, 2.00, 2.75)
D
(1.50, 2.00, 2.00)

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