AnswersDRHS-GA-Algebra Concepts and Connections AGraphing Two-Variable Linear Inequalities

Graphing Two-Variable Linear Inequalities — Unit test Answers

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1
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y = 5x + 23x = –y + 10

A
(–4, –18)
B
(–18, –4)
C
(7, 1)
D
(1, 7)
2
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The system of inequalities in the graph represents the change in an account, y, depending on the days delinquent, x.

Question illustration
A
≤
B
≥
C
<
D
>
3

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)
4

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
5

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
6

Dwayne is selling hamburgers and cheeseburgers. He has 100 burger buns. Each hamburger sells for $3, and each cheeseburger sells for $3.50. Which system of inequalities represents the number of hamburgers, h, and the number of cheeseburgers, c, he must sell to have sales of at least $80?

h
h + c ≤ 803h + 3.5c ≤ 100
h
h + c ≤ 803h + 3.5c ≥ 100
h
h + c ≤ 1003h + 3.5c ≤ 80
h
h + c ≤ 1003h + 3.5c ≥ 80
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

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.
9

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)
10

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
11

Which ordered pair (r, s) is the solution to the given system of equations?

Question illustration
(
(1, 8)
(
(3, 8)
(
(1, –2)
(
(8, 3)
12

A salad made such that the difference between twice the ounces of greens and the ounces of carrots is at least 3. Also, the sum of the ounces of greens and twice the ounces of carrots is less than 4. Which graph represents the system of equations for this scenario?

Question illustration
A
Option
B
Option
C
Option
D
Option
13

What is the value of w in the solution to the following system of linear equations?

Question illustration
A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
14

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 If Shawn and Dorian each rented bikes for the same number of hours and each paid the same price, how much did each pay for the rental? $

Answer not available
15

The members of the drama club have 100 tickets to sell to the school play. Students pay $5 per ticket, and nonstudents pay $10 per ticket. The drama club needs to collect at least $800 in total ticket sales. The system of inequalities represents the number of student tickets, s, and the number of nonstudent tickets, n, the members must sell. s + n ≤ 1005s + 10n ≥ 800

4
40
6
60
8
80
1
100

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