AnswersFL-1200310-Algebra 1Solving Systems of Linear Equations: Linear Combinations

Solving Systems of Linear Equations: Linear Combinations — Unit test Answers

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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
2
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Which description of the graph of the linear inequality y > 3x – 8 is correct?

A
The graph will be a dashed line with a y-intercept of negative eight and a slope of three. The graph will be shaded below the line.
B
The graph will be a solid line with a y-intercept of three and a slope of negative eight. The graph will be shaded above the line.
C
The graph will be a solid line with a y-intercept of three and a slope of negative eight. The graph will be shaded below the line.
D
The graph will be a dashed line with a y-intercept of negative eight and a slope of three. The graph will be shaded above the line.
3

2x + 4y = 12y = x – 3

Question illustration
A
(–1, 8)
B
(8, –1)
C
(5, StartFraction one-half EndFraction)
Option C
D
(StartFraction one-half EndFraction, 5)
Option D
4

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
6

Heather writes the equations below to represent two lines drawn on the coordinate plane.–6x + 18y = 0 4x – 12y = 20

A
The equation has no solution; therefore, the system of equations has no solution.
B
The equation has a solution at (0, 60); therefore, the system of equations has a solution at (0, 60).
C
The equation has infinite solutions; therefore, the system of equation as infinite solutions.
D
The equation has a solution at (0, 0); therefore, the system of equations has a solution at (0, 0).
7

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)
8

y = 5x + 23x = –y + 10

A
(–4, –18)
B
(–18, –4)
C
(7, 1)
D
(1, 7)
9

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.
10

On a coordinate plane, a dashed straight line has a negative slope and goes through (0, 3) and (2, negative 1). Everything to the left of the line is shaded.

Question illustration
A
y > 2x + 3
B
y < 2x + 3
C
y > −2x + 3
D
y < −2x + 3
11

Which statements are true about the graph of the system of linear inequalities? Select two options.y > 3x – 4y 3x − 4 has shading above a dashed line.The graph of y < x + 1 has shading below a dashed line.The graphs of the inequalities will intersect.There are no solutions to the system.The graphs of the two inequalities intersect the y-axis at (0, 1) and (0, 4).

Question illustration
A
The graph of y > 3x − 4 has shading above a dashed line.
B
The graph of y < x + 1 has shading below a dashed line.
Option B
C
The graphs of the inequalities will intersect.
D
There are no solutions to the system.
E
The graphs of the two inequalities intersect the y-axis at (0, 1) and (0, 4).
12

On a coordinate plane, a dashed straight line has a negative slope and goes through (0, 2) and (4, 0). Everything below and to the left of the line is shaded.

Question illustration
A
(2, 3)
B
(2, 1)
C
(3, –2)
D
(–1, 3)
13

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
14

Which statements about the system are true? Select two options.y = x – 43y – x = –7The system has one solution. The system consists of parallel lines.Both lines have the same slope. Both lines have the same y–intercept.The equations represent the same line.

Question illustration
A
The system has one solution.
B
The system consists of parallel lines.
C
Both lines have the same slope.
D
Both lines have the same y–intercept.
E
The equations represent the same line.
15

On a coordinate plane, a dashed straight line has a positive slope and goes through (negative 3, negative 3) and (3, 1). Everything below and to the right of the line is shaded.

Question illustration
A
y > x – 2
Option A
B
y < x + 2
Option B
C
y > x + 1
Option C
D
y < x – 1
Option D

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