Questions
Ideas:
/Main
Essential Question: Ifow do Jrou solve a s,vstem of equation using
either s ubs titution ot elimination ?
Bellwork Question: (remember to work together)
Solve using elimination.
32
dt)s
-2x +t{q. -3]-a1r) +r@v . -3 Z
bx-3,/-
bx -s(9
b
Set
t (t, -t)
=
-2+
x-1=
FL
tS^(l
A
= -3ltL
and solve usins substitution.
L. A snack bat sells two sizes of snack pack. A large snack pack is $5,
And a small is $3. In one day, the snack bar sold 60 snack packs for z total of
ff220. How many small snack packs did the snack bar sell?
+ 3bo
-fy ^ 6tgo
= bo ^
-q
2. Adult theater tickets to a play cost $22. Tickets for children cost 915.
Tickets for a group of 11 people co&t a total of $228. How many
children and how many adults were in the group?
/- > (//'o-.
d-* c://
5
,\-_
A2a- + /f( //- a-\ * .*&#
,2a- * /(/<-- /{b a 2&F
( -- // -ae - //-E
2 a- + /(r{- -2.24/
7a^s..,,..A-S
{a-^q )
drri; ?a&x*{L* -? W
3.
A school is planning a field trip
{{c=;p )
for 142 people. The trip will use six drivers and
two types ofvehicles: buses and vans. A bus can seat 5L passengers. A van
can seat 10 passengers. How many buses and how many vans will be needed?
,{
)f'*
I * (,a'"
/du *f/b= /"Q
)
* sl (c"{}
/v2
/ot/+ SOA-;/Lt:/{2
_4/r .= -/C/
{,t = ./>
Ch\t:
/
- Ul
--/''Z*-
,E*
/oLJ
'-0
b > 0:-V
=
.ua.-aa-.,1-- ,^,?
b=b-fl
(__*.1*-*-I-*?T-\ir
b-.{
)
y'rr*ilb
't
-_t,
f
Set up and solve using elimination.
4.
There are785 students in the senior class. If there are 77 mote females in
the class than males, how many male and female seniors are there in the
class?
=-7
I * t'Tl= 7
e
5.
fre
The sum of two numbers is 19, and their difference is 55. \7hat are t}e two
numbets?
+
tg
4*
6.
Oti-,
t4=
.3/*-l
q-,
Jocelyn has $1.95 in her pocket made up of 27 nickels and dimes. How
manv of each tr.oe of coin does she have?
/5 + c( =37
El
asi /fuiuKe[s
Summary:
.T
\-/
6-2
Procfice
Solving Systems Using Substitution
Form K
'-
Solve each-system using substitution. Check your solutiorr.
i
.F
6
f
u
c
10. If the difference of two numbers is 43 and the sum of the numbers is 13, what
are the numbers?
G
o
L
1
o
-c
c')
o
o
1. David earns $1.50 per hour more than Peter. Together, they earn $940 if they
both work 40 hours in a week. How much money per hour do David and Peter
earn?
(J
13. Diana purchased 6 pounds of strawberries and 4 pounds of apples for $18.90.
Then she realized that this was not enough and purchased 3 more pounds of
each fruit for $10,74. Whatwas the cost per pound for each type of fruit?
14. If the width of the rectangle is three times the length and the perimeter of the
rectangle is 72 ft, what are the length and width of the rectangle?
Name
6-3
Class
PrOCtiCe
Date
(conrinued)
Form K
Solving Systems Using Eliminotion
11. The sum of two numbers is 19, and their difference is 55. What are the two
numbers?
1
2. For the fundraiset Will
sold, 225 candy bars. He earns $1 for each almond
he
and
candy bar
sells
$0.75 for each caramel candy bar he sells. If he earned
a total of $187.50, how many of each type of candy bar did he sell for the
fundraiser?
13. There were 155 people atthe basketball game. Tickets for the game are $2.50
for students and $4 for adults. If the total money received for admission was
$492.50, how many students and adults attended the game?
14. Iocelyn has $1.95 in her pocket made up of 27 nickels and dimes. How many
ofeach type ofcoin does she.have?
o
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