Transcript Slide 1

Your teacher is giving you a test worth 100
points containing 40 questions. There are
two-point and four-point questions on the
test. How many of each type of question are
on the test?
Suppose you bought supplies for a party.
Three rolls of streamers and 15 party hats
cost $30. Later, you bought 2 rolls of
streamers and 4 party hats for $11. How
much did each roll of streamers cost?
At In and Out, 4 burgers and 3 orders of
fries cost $26.50. 5 burgers and 5 orders of
fries cost $36.25. What is the cost of each
item?
A group of 40 children attended a baseball
game on a field trip. Each child received
either a hot dog or a bag of popcorn. Hot
dogs were $2.25 and popcorn was $1.75. If
the total bill was $83.50, how many
hotdogs and bags of popcorn were
purchased?
The cost of 3 boxes of envelopes and 4
boxes of notebook paper is $13.25. Two
boxes of envelopes and 6 boxes of
notebook paper cost $17. Find the cost of
each.
The cost of 12 oranges and 7 apples is
$5.36. Eight oranges and 5 apples cost
$3.68. Find the cost of each.
Gabby and Sydney bought some pens and
pencils. Gabby bought 4 pens and 5 pencils
for $6.71. Sydney bought 5 pens and 3
pencils for $7.12. Find the cost of each.
A high school band held a bake sale. The
number of cupcakes sold was four more
than twice the number of brownies sold.
The band sold a total of 52 cupcakes and
brownies. Find how many of each were
sold at the bake sale.
A sporting goods store sells right-handed
and left-handed baseball gloves. In one
month, 12 gloves were sold for a total of
$561. Right-handed gloves cost $45 each
and left-handed gloves cost $52 each. How
many of each type of glove were sold?
At a sale on winter clothing, Cody bought
two pairs of gloves and four hats for
$43.00. Tori bought two pairs of gloves and
two hats for $30.00. Find the cost of each.
The Town Recreation Department ordered
a total of 100 baseballs and bats for the
summer baseball camp. Baseballs cost $4.50
each and bats cost $20 each. The total
purchase was $822. How many of each
item was ordered?
A college student needs 11 classes that are
worth a total of 40 credits in order to
complete her degree. The college offers both
4-credit classes and 3-credit classes. Which
system of equations can be used to
determine f, the number of 4-credit classes
the student can take to complete her degree,
and h, the number of 3-credit classes?
One night a theatre sold 548 movie tickets.
An adult’s ticket costs $6.50 and a child’s
ticket cost $3.50. In all, $2881 was taken in.
How many of each kind of ticket were sold?
A collection of dimes and nickels is worth
$3.30. If there are 42 coins in all, how
many of each kind of coin are there?
The sum of two numbers is 20. The
difference between three times the first
number and twice the second is 40. Find
the two numbers.
The difference between two numbers is 9.
The first number plus twice the other
number is 27. Find the two numbers.
There are 156 laptops and desktop
computers in a lab. There are 8 more
laptops than computers. How many of each
are in the lab?
Hat Mania and Cap Kingdom create custom
hats for sports teams. Hat Mania charges $5
for each hat sold and a $50 service fee to
create the hats. Cap kingdom charges $6 for
each hat sold in addition to a $25 service
fee. How many hats have to be sold for the
companies to have equal charges?
Angelo runs 7 miles per week and increases
his distance by 1 mile each week. Mark runs
4 miles per week and increases his distance
by 2 miles each week. In how many weeks
will Angelo and Mark be running the same
distance? What will that distance be?
There are 9 books stacked on a shelf. The
thickness of each book is either 1 inch of 2
inches. The height of the stacks of 9 books is
14 inches. Which system of equations can be
used to determine, x, the number of 1 inchthick books in the stack, and y, the number
of 2 inch-thick books?
f  h  11
4 f  3h  40
4  2x  y
x  y  52
3e  4n  13.25
2e  6n  17.00
12o  7a  5.36
8o  5a  3.68
2 g  4h  43
2 g  2h  30
x  y  100
4.50x  20y  822
x  y  20
3 x  2 y  40
x y 9
x  2 y  27
7m  d
4  2m  d
x  y  40
2 x  4 y  100
x y 9
x  2 y  14
h  p  40
2.25h  1.75 p  83.50
4 x  5 y  6.71
5 x  3 y  7.12
r  l  12
45r  52l  561
a  c  548
6.50a  3.50c  2881
.10d  .05n  3.30
d  n  42
d  l  156
8 d  l
5 x  50  y
6 x  25  y
3s  15h  30
2s  4h  11
3b  2 f  18
2b  3 f  15.75