AnswersAISD Algebra I-B Credit Recovery 2026-2027Transformations of Quadratic Functions

Solving 3 x 3 Linear Systems Answers

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1
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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
2
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Given that (1, 0, 1) is a solution to a system of three linear equations, 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 inconsistent.
3

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
4

Which system is independent and inconsistent?

A
mc010-1.jpg
Option A
B
mc010-2.jpg
Option B
C
mc010-3.jpg
Option C
D
mc010-4.jpg
Option D
5

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)
6

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

A
none
B
one
C
three
D
infinitely many
7

Given that (1, 0, 1) is a solution to a system of three linear equations, 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 inconsistent.
8

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
9

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
10

What is the solution to the following system?

Question illustration
A
x = 0, y = 1, z = 2
B
x = 1, y = –1, z = 2
C
x = 1, y = 0, z = –1
D
x = 2, y = 1, z = 0

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