AnswersAISD Algebraic Reasoning B Credit Recovery 2026-2027Solving Systems: Introduction to Linear Combinations

Solving Systems: Introduction to Linear Combinations — Unit test Answers

0 verified answers
1
Free Preview

Irina has 10 coins, all nickels and dimes, worth a total of $0.70. This is shown by the system of linear equations, x + y = 10 and 0.05x + 0.1y = 0.7, on the graph.

Question illustration
A
4
B
6
C
7
D
10
2
Free Preview

A sports apparel supplier offers teams the option of purchasing extra apparel for players. A volleyball team purchases 15 jackets and 12 pairs of sweatpants for $348. A basketball team purchases 8 jackets and 8 pairs of sweatpants for $200. Let x represent the price of a jacket and let y represent the price of a pair of sweatpants. Which system of equations can be used to find the price of each item?

A
A system of equations. 8 x plus 8 y equals 200. 12 x plus 15 y equals 348.
Option A
B
A system of equations. 8 x plus 8 y equals 200. 15 x plus 12 y equals 348.
Option B
C
A system of equations. 8 x plus 8 y equals 348. 12 x plus 15 y equals 200.
Option C
D
A system of equations. 8 x plus 8 y equals 348. 15 x plus 12 y equals 200.
Option D
3

The table can be used to determine the solution of equations, 2x − 2y = 6 and 4x + 4y = 28.Which solution can be used to fill in both blanks in the table?

Question illustration
A
(2, 5)
B
(5, 2)
C
(5, −8)
D
(−8, 5)
4

The math team wraps gifts as a way to raise money for traveling to competitions. They offer two choices: a plain wrapping or a decorative wrapping with bows. The table represents the money raised over a busy shopping weekend.

Question illustration
A
The team charged $1 to wrap a gift with no bow and $2 to wrap a gift with a bow.
B
The team charged $2 to wrap a gift with no bow and $3 to wrap a gift with a bow.
C
The team charged $3 to wrap a gift with no bow and $4 to wrap a gift with a bow.
D
The team charged $4 to wrap a gift with no bow and $5 to wrap a gift with a bow.
5

What is the solution to the system of equations?y = 2x – 3.5x – 2y = –14

A
(–7, 3.5)
B
(3.5, –7)
C
(7, 10.5)
D
(10.5, 7)
6

Lukas graphed the system of equations shown.2x + 3y = 2y = x + 3What is the solution to the system of equations?

Question illustration
A
(–2, 2)
B
(0, 0.67)
C
(0, 3)
D
(1, 0)
7

What is the x-value of the solution to the system of equations?5x + 4y = 82x − 3y = 17

A
−3
B
−2
C
4
D
5
8

Which is the best approximation for the solution of the system of equations?y = x + 1y = 3x – 2

Question illustration
A
(0.45, 0.88)
B
(0.88, 0.65)
C
(0.88, 1.1)
D
(1.3, 0.88)
9

Vlad has 9 coins, all quarters and dimes, worth a total of $1.80. This is shown by the system of linear equations, x + y = 9 and 0.25x + 0.1y = 1.8, on the graph.

Question illustration
A
3
B
6
C
7
D
9
10

The table can be used to determine the solution to the system of equations, 2y − x = 8, and y − 2x = −5.Which solution can be used to fill in both blanks in the table?

Question illustration
A
(1, 6)
B
(6, 1)
C
(7, 6)
D
(6, 7)
11

Shawn and Dorian rented bikes from two different rental shops. The prices in dollars, y, of renting bikes from the two different shops for x hours is shown.Shop Shawn used: y=10+3.5xShop Dorian used: y=6x

A
3
B
4
C
14
D
24
12

y = 5x + 23x = –y + 10

A
(–4, –18)
B
(–18, –4)
C
(7, 1)
D
(1, 7)
13

What is the y-value of the solution to the system of equations?3x + 5y = 17x + 4y = −13

A
−3
B
−1
C
2
D
5
14

What is the y-value in the solution to this system of linear equations?4x + 5y = −12-2x + 3y = −16

A
−4
B
−2
C
2
D
5
15

A system of equations has infinitely many solutions. If 2y – 4x = 6 is one of the equations, which could be the other equation?

A
y = 2x + 6
B
y = 4x + 6
C
–y = –2x – 3
D
–y = –4x + 6

Did you find these answers helpful?

More from this Course

Quiz
15 verified answers

Unit Test

Assignment
11 verified answers

Solving Systems: Introduction to Linear Combinations

Quiz
10 verified answers

Solving Systems: Introduction to Linear Combinations