AnswersEA Academy Algebra IUnit Test

Unit Test — Unit test Answers

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1
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On a coordinate plane, 2 dashed straight lines are shown. The first line has a positive slope and goes through (negative 1, 0) and (0, 1). Everything to the right of the line is shaded. The second line has a negative slope and goes through (negative 2, 0) and (2, negative 4). Everything to the right of the line is shaded.

Question illustration
y
y > x + 1
y
y < x – 1
y
y > x – 1
y
y < x + 1
2
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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
3

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
4

A ride at an amusement park has two options for cars, one that holds 6 passengers and one that holds 3 passengers. If the ride designer wants to make sure that each run holds at least 12 passengers, which graph represents the overall equation and shows the possible combinations of the number of 6-passenger cars, x, and the number of 3-passenger cars y (not all points may apply to the scenario)?

A
Option
B
Option
C
Option
D
Option
5

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)
6

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)
7

Which ordered pairs are in the solution set of the system of linear inequalities?y > x + 2y < 2x + 3

Question illustration
A
(2, 2), (3, 1), (4, 2)
B
(2, 2), (3, –1), (4, 1)
C
(2, 2), (1, –2), (0, 2)
D
(2, 2), (1, 2), (2, 0)
8

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)
9

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).
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

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

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
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 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
14

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)
15

Before any dinner service, the manager confirms when the number of reservations at a restaurant is subtracted from twice the number of loaves of bread on hand must be greater than 5. Which graph represents the overall equation represented by this scenario (all points may not apply to the scenario)?

A
On a coordinate plane, a dashed straight line has a positive slope and goes through (0, negative 5) and (3, 1). Everything to the right of the line is shaded.
Option A
B
On a coordinate plane, a dashed straight line has a positive slope and goes through (0, negative 5) and (3, 1). Everything to the left of the line is shaded.
Option B
C
On a coordinate plane, a dashed straight line has a negative slope and goes through (negative 3, 1) and (0, negative 5). Everything to the left of the line is shaded.
Option C
D
On a coordinate plane, a dashed straight line has a negative slope and goes through (negative 3, 1) and (0, negative 5). Everything to the right of the line is shaded.
Option D

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