PFSH Solving Linear Systems by Substitution Questions

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Question 1
20 pts
The first step in solving a linear system using
the substitution method is
isolate either variable
isolate the x
isolate the y
add the equations together
Question 2
20 pts
Solve the system of equations using
substitution.
– 4x + 4y = 8
y= -2x – 10
(4, -18)
(-4,-2)
.
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D Question 3
20 pts
Solve the following system using
substitution.
6x + 3y = – 12
y=-2x-6
(2,0)
no solution
o infinitely many solutions
(3,-12)
Question 4
20 pts
Find the y-coordinate in the system below.
y + 3x = -21
x=3y +3
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Question 5
20 pts
Two cyclists are competing in a 10 mile time
trial. The older cyclist, who rides at a speed
of 22 mph, is given a 1 mile head start. The
younger cyclist rides at a speed of 25 mph.
Let x represent time in hours and y represent
distance in miles. Which of the following
system of equations represents this
situation.
O v= 25x
y=22x + 1
OV=25x
y= 22 + x
O v= 25
y= 22x + 1
O v= 25x + 1
y=22x
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Attempt due: 13 Oct at 22.50
9:27
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Question 1
20 pts
Select the correct graph for the inequality
y> – 2x-3.
A)
B)
C
)
D)
B
ОА
ОС
D Question 2
20 pts
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D Question 3
20 pts
Which system of inequalities describes the
graph below.
2
4
T
OV> 3x
y 3x
y< - 2x + 4 Question 4 20 pts 9:28 LTE Take quiz Exit D Question 4 20 pts Which of the following is not a solution? 10 В 6 4 2 2 -10 8 -4 -2 2. 4 6 B 10 Á -4 -6 -8 - 10 O (6,2) (4,0) (0,-1) 0 (0,3) D Question 5 20 pts 9:28 LTE Take quiz Exit D Question 5 20 pts Which system of inequalities describes this scenario? Carlos works at a movie theater selling tickets. The theater has 300 seats and charges $7.50 for adults and and $5.50 for children. The theater expects to make at least $2,000 for each showing. O x+y = 300 7.5x +5.5y2 2000 O x +y 300 7.5x +5.5y > 2000
O x + y 2000
7.5x +5.5y 300
Ox+y = 300
7.5x +5.5y s 2000
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TEST 2 Solving Systems of
Equations and Inequalities AA
Started: 27 Oct at 10:13
Quiz instructions
You have 2 attempts and 50 minutes each attempt.
The higher of the 2 scores will be kept.
D Question 1
6 pts
Determine if the point (-1, 2) is a solution to
the linear system given.
-2x – y = 0
5x – 5y= – 15
True
False
Question 2
8 pts
Solve the system using the method of your
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True
False
Question 2
8 pts
Solve the system using the method of your
choice.
y= -x-1
y=x-5
O Infinitely Many Solution
(2, -3)
(-3, 2)
No Solution
Question 3
8 pts
Solve the system by substitution.
(2x + 3y = 6
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O No Solution
D Question 3
8 pts
Solve the system by substitution.
2x + 3y = 6
y=2x-6
O Infinitely Many Solutions
(0, 3)
(3, 0)
O No Solution
Question 4
6 pts
Solve the system. What is the value of y?
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D Question 5
6 pts
At the Fort Bend County Fair, you have $30
to spend on food. Turkey legs cost $6 and
corn on the cob costs $4. You want to buy
at least 6 items to share with your friends.
Which system of inequalities can you use to
determine how many turkey legs and corn
on the cob you can order with the money
that you have?
oſt+cs5
6t+40 > 30
Ot+c26
6t+40330
O / 6t+4026
t+C530
0 4t +6C> 6
It+C