AnswersAdv. Algebra II S1 OriginalSolving Linear Systems Graphically

Solving Linear Systems Graphically — Unit test Answers

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1
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What is the solution to the system of equations?

Question illustration
A
(11, 1)
B
(1, 11)
C
(–1, 11)
D
(11, –1)
2
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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
3

Which graph shows the solution to the following system of inequalities?

Question illustration
A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
4

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.
5

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.
6

Arianna is buying plants for her garden. She buys 15 flowering plants for $96. Pink flowering plants sell for $8, and purple flowering plants sell for $5. How many pink flowering plants did Arianna buy?

A
6 pink flowering plants
B
7 pink flowering plants
C
8 pink flowering plants
D
9 pink flowering plants
7

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
8

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
9

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

Question illustration
A
A
B
B
C
C
D
D
10

Which statement describes the system of equations?

Question illustration
A
It has one solution (4, –4).
B
It has one solution (8, –9).
C
The system has no solution.
D
The system has infinitely solutions.
11

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
12

A small fair charges an admission fee for children and adults. The cost for admission is $3 per adult and $2 per child. On a certain day, total admission fees were $900, and 350 people attended the fair. How many children attended the fair that day?

A
80 children
B
150 children
C
200 children
D
320 children
13

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

Question illustration
A
–7
B
–3
C
1
D
5
14

Which equation can pair with x + 2y = 5 to create an inconsistent system?

A
2x + 4y = 3
B
5x + 2y = 3
C
6x + 12y = 30
D
3x + 4y = 8
15

What is the solution to the system graphed below?

Question illustration
A
(1, 1)
B
(1, –1)
C
(–1, 1)
D
(–1, –1)
16

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

Question illustration
A
A
B
B
C
C
D
D
17

Lucia tried to solve the system below. Lucia’s Work What error did Lucia make?

Question illustration
A
When Lucia solved the second equation for x, she subtracted 2y from both sides.
B
When Lucia solved for the value of y, she treated –2y as 2y.
C
When Lucia solved for the value of x, she added 18 to both sides.
D
When Lucia solved the second equation for x, she treated –2(–9) as 18 instead of –18.
18

What is the solution to the system of equations graphed on the coordinate plane?

Question illustration
A
(4, 3)
B
(3, 4)
C
(2, 0)
D
(5, 0)
19

What is the solution to the following system of equations?

Question illustration
A
(–2, 7)
B
(2, 3)
C
(3, 2)
D
(7, –2)
20

A store sells the basic model of a phone for $60 and the upgraded model for $200. It costs the store $10 to buy each basic model and $50 to buy each upgraded model from the phone company. On Tuesday, the store has $1,800 in sales for these two models, and it paid the phone company $400 to buy these phones. How many upgraded models did the store sell on Tuesday?

A
6 upgraded phones
B
10 upgraded phones
C
15 upgraded phones
D
42 upgraded phones

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