AnswersSS26 CHISD Algebra II AUnit Test

Unit Test — Unit test Answers

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A movie theater has 400 seats. Tickets at the theater cost $8 for students, $10 for adults, and $7 for senior citizens. On a night when all the seats were sold, the theater made $3,535 from ticket sales. If the number of adult tickets sold was 10 less than the number of student and senior tickets combined, how many senior tickets were sold?

A
55 senior tickets
B
150 senior tickets
C
195 senior tickets
D
255 senior tickets
25
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Juanita wants to perform row operations on the augmented matrix for the system below.Which matrix should Juanita use to perform the operations?

Question illustration
A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
26

The tables below show running hours of three printers that produce greeting cards and the total number of greeting cards produced over three weeks. Number of Hours Machine Is Running Printer APrinter BPrinter CWeek 1405045Week 2455035Week 3504050 Total Cards ProducedWeek 17,950Week 27,350Week 38,700Printer B uses $15 in ink every hour. What is the ink cost for each card coming from printer B?

A
$0.30
B
$0.50
C
$1.00
D
$1.50
27

Jacy has a collection of 140 coins worth $19.00. She has only nickels, dimes, and quarters. The difference in the number of dimes and the number of quarters is 10. Using matrices, how many nickels are in Jacy’s collection?

A
38
B
50
C
95
D
130
28

Mark is solving the following system.Step 1: He multiplies equation (1) by 7 and adds it to equation (3). Step 2: He multiplies equation (3) by 2 and adds it to equation (2). Which statement explains Mark’s mistake?

Question illustration
A
He added equation (3) instead of equation (2) in step 1.
B
He did not multiply equation (3) by the same number as equation (1).
C
He did not eliminate the same variables in steps 1 and 2.
D
He added equation the equations in step instead of subtracting them.
29

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
30

Which equation can pair with x – y = –2 to create a consistent and dependent system?

A
6x + 2y = 15
B
–3x + 3y = 6
C
–8x – 3y = 2
D
4x – 4y = 6
31

What is the solution to the following system?

Question illustration
A
x = 1, y = –3, z = –1
B
x = 1, y = –3, z = 1
C
x = 1, y = 3, z = 19
D
x = 1, y = 3, z = –2
32

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
33

Samir begins riding his bike at a rate of 6 miles per hour. Twelve minutes later, Chris leaves from the same point and bikes along the same route at 9 miles per hour. How long after Chris begins riding does he catch up to Samir?

A
4 min
B
12 min
C
24 min
D
40 min
34

Michael is paid $9 per hour to work at the movie theater and $7 per hour when he helps his aunt at her bakery. Michael cannot work more than 32 hours in a week, but he wishes to earn at least $251 each week. Which weekly work schedule is within Michael’s constraints?

A
8 hours at the movie theater and 25 hours at the bakery
B
15 hours at the movie theater and 20 hours at the bakery
C
19 hours at the movie theater and 12 hours at the bakery
D
21 hours at the movie theater and 8 hours at the bakery
35

In their last basketball game, Becky scored twice as many points as Min. Together, they scored 42 points. How many points did Becky score?

A
14 points
B
21 points
C
22 points
D
28 points
36

A charity bingo game costs $2 per round and has a $13 entry fee for an adult. It costs $3 per round and a $10 entry fee for a child. For how many rounds of bingo are the costs the same for an adult and a child?

A
2
B
3
C
4
D
5
37

A group of children, adults, and senior citizens attended three different art exhibits that have different ticket prices for each age group. Let c represent the number of children, a represent the number of adults, and s represent the number of senior citizens. The system represents the cost of each type of ticket and the total cost of the tickets for all three exhibits. What are the numbers of children, adults, and seniors citizens that attended these three exhibits?

Question illustration
A
120 children, 30 adults, and 30 senior citizens
B
20 children, 40 adults, and 70 senior citizens
C
100 children, 50 adults, and 5 senior citizens
D
100 children, 50 adults, and 20 senior citizens
38

Given that the solution set to a system of three linear equations is a line, 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 consistent.
39

Which answer describes the graph of the system of equations?

Question illustration
A
The point of intersection is (0, 4).
B
The point of intersection is (4, 0).
C
The lines are parallel.
D
The lines coincide.
40

Carmen rides her bicycle at a constant rate to the market. When she rides her bicycle back home along the same route, she bikes at three-quarters the rate she biked to the market. If the trip home takes 12 minutes longer than the trip to the market, how many minutes does it take Carmen to bike home?

A
16 min
B
28 min
C
36 min
D
48 min
41

When Lydia performed an operation on the matrix below, she forgot to include one element.What is the value of the unknown element, b?

Question illustration
A
–7
B
–5
C
–3
D
–2
42

Which region represents the solution to the given system of inequalities?

Question illustration
A
A
B
B
C
C
D
D
43

Indira has 18 coins valued at $4.20. She has only quarters and dimes. Which augmented matrix can be used to determine the number of quarters and dimes in the collection?

A
mc005-1.jpg
Option A
B
mc005-2.jpg
Option B
C
mc005-3.jpg
Option C
D
mc005-4.jpg
Option D

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Unit Test — Unit test Answers — SS26 CHISD…