Transcript Answers

Using
Using
Graphing
Applying
to Solve Substitution Elimination Systems
Linear
Inequalities
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How many solutions are there to a
system of equations that have the
same slope and different yintercepts? Explain.
Graphing To Solve - $100
Which point is the solution to the
system of equations below?
a. (-5, 1)
y  2x  7
y  x6
b. (-1, 5)
c. (5, -1)
d. (-1, 5)
ANSWER
Large Graph
Graphing To Solve - $200
The graph below is the solution to which system of
equations?
a. y  2 x  1
y  x 1
b. y  2 x  1
y  x  1
c.
y  x 1
y  x 1
ANSWER
Back
Graphing To Solve - $300
Which Value of b will make the
graphs y = -2x+1 and y = x +b
intersect at the point (-2, 5)?
a. -2
c. 5
b. 7
d. 2
ANSWER
Graphing To Solve - $400
A system of equations has a solution at (-2,
4). The equation of one line is y = 2x +8.
If the two lines are perpendicular, what is
the equation of the second line? Write your
answer in slope-intercept form.
ANSWER
Graphing To Solve - $500
Your parents have decided to paint the
house for the summer, and you are going to
rent a cherry-picker. One company will rent
it to your for $250 plus $10 per hour, and
another company will rent it to you for $100
plus $15 per hour. Write a system of
equations to describe the situation. Write
your equations in Standard Form with
integers.
ANSWER
Using Substitution - $100
Solve the system of equations using
substitution.
y = -x + 5
y=x+1
ANSWER
Using Substitution - $200
Find the solutions to the system of
equations using substitution.
2x  y  6
y  3x  1
a. x = -5, y = -14
b. x = 7, y =20
c. x = -7, y = -20
d. x = -5, y = 14
ANSWER
Using Substitution - $300
Solve the system of equations
using substitution.
2x + 4y = -6
x – 3y = 7
ANSWER
Using Substitution - $400
At an ice cream parlor, ice cream cones
cost $1.10 and sundaes cost $2.35.
One day, the receipts for a total of 172
cones and sundaes were $294.20.
Write a system of equations to find the
number of cones that were sold. Use
substitution to solve.
ANSWER
Using Substitution - $500
Use substitution to solve the following
system.
t  r  s  20
r t 3
t  5r  10s  129
ANSWER
Using Elimination - $100
Find the solution to the system of equations.
2 y  x  10
 4y  x  8
a. (-9, 28)
b. (28, 9)
c. (28, -9)
d. (9, -28)
ANSWER
Using Elimination - $200
What values of x and y would make
both equations true?
 2 x  5 y  10
6 x  10 y  5
ANSWER
Using Elimination - $300
CHEAP RENTAL charges its customers $20 per
day, plus a $50 initial payment to rent cars.
LOW RAYTZ charges $30 per day to rent their
cars, but they do not require any up-front
costs. After how many days of renting will the
total cost of renting a car be the same for
both companies?
a. 30 days
d. 5 days
b. 20 days
c. 10 days
ANSWER
Using Elimination - $400
What do you have to multiply the first
equation by in order to solve the system
using elimination?
Equation 1: 2y + 3x = 10
Equation 2: -6x +9y = 20
ANSWER
Using Elimination - $500
Two baby panda bears are born. One panda
bear (named “Rocco”) weighs 120 pounds
and gains 60 pounds per year. Another
panda bear (named “Susie”) weighs only 100
pounds when she is born, but starts to gain
10 pounds per month. Write a system of
equations that describes the relationship
between the weight (W, in pounds) of the
panda bears and time (T, in months)
ANSWER
Applying Systems - $100
You have $9.85 in coins of which some
are nickels and some are quarters. You
have 125 coins total. How many of each
do you have? Write a system of
equations to solve.
ANSWER
Applying Systems - $200
Xavier is older than Yolanda. The
difference of their ages is 5, and
the sum of their ages is 33. How
old is Xavier?
ANSWER
Applying Systems - $300
Helene wants to create a snack mix with
raisins and granola that costs $2.75 per
pound. The granola costs #2 per pound,
and the raisins cost $3 per pound. How
many pounds of granola should she use
to make 10 pounds of snack mix?
ANSWER
Applying Systems - $400
Your local cable television company
offers two plans: basic service with one
movie channel for $35 per month or
basic service with two movie channels
for $45 per month. What is the charge
for the basic service and the charge for
each movie channel.
ANSWER
Applying Systems - $500
Mrs. Paulson bought chicken wire to
enclose a rectangular garden. She is
restricted to a width of no more than 30
ft. She would like to use at most 180 ft
of chicken wire. Write a system of linear
inequalities that describe the situation.
ANSWER
Linear Inequalities - $100
Is (-5, 10) a solution to the system of
inequalities?
y < -5x + 10
y>x+9
ANSWER
Linear Inequalities - $200
What point is a solution to the
system of inequalities below?
y < 1/4x -2
a. (2, -1)
y > 3x + 1
b. (1, -2)
c. (-1, -2)
d. (-2, 1)
ANSWER
Linear Inequalities - $300
Graph the following linear inequalities on
the same coordinate plane. What figure
does the solution to all three inequalities
make?
y  3 x  5
y  3x  5
y  4
ANSWER
Large Graph
Linear Inequalities - $400
Find the system of inequalities that has its
solution set graphed below.
a. y<3, y>-2x-1
b. y>3, y<-2x-1
c. y<3, y<x-1
d. y>3, y<x-1
ANSWER
Back
Linear Inequalities - $500
What system of inequalities describes
the graph below?
a. y>x-1, y>3x-1
b. y<2x+3, y<-x-1
c. y<3x+3, y<x-1
d. y>3x-1, y>2x+3
Large Graph
ANSWER
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****Answers****
Graphing To Solve - $100
B. (-1, 5)
DONE
Graphing To Solve - $200
a.
y  2 x  1
y  x 1
DONE
Graphing To Solve - $300
B. 7
DONE
Graphing To Solve - $400
y  1 / 2 x  5
DONE
Graphing To Solve - $500
y = 250 + 10x
y = 100 + 15x
DONE
Using Substitution - $100
x = 2, y = 3
(2, 3)
DONE
Using Substitution - $200
C. x = -7, y = -20
DONE
Using Substitution - $300
x = 1 , y = -2
DONE
Using Substitution - $400
cones = 88, sundaes = 84
DONE
Using Substitution - $500
R=7
(7, 9, 4)
S=9
T=4
DONE
Using Elimination - $100
C. (28, -9)
DONE
Using Elimination - $200
x = -3/2 (-1.5)
y = 7/5 (1.4)
DONE
Using Elimination - $300
d. 5 days
DONE
Using Elimination - $400
2
DONE
Using Elimination - $500
Rocco: W = 5T + 120
Susie: W = 10T +100
DONE
Applying Systems - $100
18 Quarters
107 Nickels
DONE
Applying Systems - $200
Xavier is 19 and
Yolanda is 14
DONE
Applying Systems - $300
2.5 pounds of granola
7.5 pounds of raisins
DONE
Applying Systems - $400
$25 for basic and $10 per movie channel
DONE
Applying Systems - $500
w ≤ 30
2l +2w ≤ 180
DONE
Linear Inequalities - $100
YES
DONE
Linear Inequalities - $200
b. (1, -2)
DONE
Linear Inequalities - $300
Triangle
DONE
Linear Inequalities - $400
B. y>3, y<-2x-1
DONE
Linear Inequalities - $500
C. y<3x+3, y<x-1
DONE
CONTINUE
CONTINUE