Download 7-1 and 7-2 Objective: To solve factoring Word Problems and to

7-1 and 7-2 Objective: To solve factoring Word Problems and to review other word problems.
EX 1 A cafeteria has 18 chocolate-milk cartons and 24 regular-milk cartons. The cook wants
to arrange the cartons with the same number of cartons in each row. Chocolate and regular
milk will not be in the same row. How many rows will there be if the cook puts the greatest
possible number of cartons in each row?
EX 2 The area of a court for the game squash is (9x2 + 6x) square meters. Factor this
polynomial to find possible expressions for the dimensions of the squash court.
EX 3 Adrianne is shopping for a CD storage unit. She has 36 CDs by pop music artists and 48
CDs by country music artists. She wants to put the same number of CDs on each shelf without
putting pop music and country music CDs on the same shelf. If Adrianne puts the greatest
possible number of CDs on each shelf, how many shelves does her storage unit need?
TRY THIS Cindi is planting a rectangular flower bed with 40 orange flower and 28 yellow flowers. She
wants to plant them so that each row will have the same number of plants but of only one color. How
many rows will Cindi need if she puts the greatest possible number of plants in each row?
7-1 and 7-2 Objective: To solve factoring Word Problems and to review other word problems.
In Class Practice:
1) Eloise saved all her awards from school. She
has 18 athletic awards and 27 academic
awards. Eloise wants to display the two types
separately but in rows of equal length.
Determine the greatest number of awards
Eloise can put in each row. Then determine
the total number of rows.
2) Matías and Hannah are responsible for the
centerpieces on the buffet tables at the school
dance. They have 6 dozen carnations, 80 lilies,
and 64 rosebuds. All the centerpieces must be
identical. Determine the greatest number of
centerpieces Matías and Hannah can make if
they use all the flowers. Then describe the
centerpiece.
Part of an ad for interlocking foam squares is shown below. Use it to answer questions 3-5. Select the
best answer.
3) A class arranges on package into a rectangle
Each package comes with 36 foam squares that
with dimensions other than those shown.
interlock for a safe, colorful floor mat!
Which could have been the dimensions?
You can make a ...
Square rectangle or any shape you want!
A 2  18
C 48
B 3  16
D 56
4) A teacher has 2 packages of red, 6 packages of
blue, and half a package of yellow squares. He
wants to build a rectangle so that each row is
the same color. What can be the maximum
number of squares per row?
F 2
H
18
G 6
J
36
6) The area of a rug, which is shaped like a
rectangle, is 4x2 - 4x square feet. Factor this
polynomial to find expressions for the
dimensions of the rug.
5) In problem 4, how many rows will be blue?
A 2C
6
B3 D
12
7) The perimeter of a rhombus is 12x + 28 feet.
Factor this expression. Then find the length of
one side if x = 8. (Hint: A rhombus is a
parallelogram with four congruent sides.)
7-1 and 7-2 Objective: To solve factoring Word Problems and to review other word problems.
You must write one or two equations to solve the following problems.
Show all of your work.
8) The sum of two numbers is 32. One number is
4 more than the other. Find the numbers.
9) There are 158 members in the soccer program.
There are 16 more boys than girls. How many
boys are there?
10) A collection of 27 nickels and dimes is worth
$1.95. How many of each coin are there?
11) The length of a rectangle is 3 less than twice
the width. The perimeter is 54. Find the
dimensions. Find the area.
12) Museum passes cost $5 for adults and $2 for
children. One day the museum sold 1820
passes for $6100. How many of each type
were sold?
13) In a math contest, each team is asked 50
questions. The teams earn 15 points for each
correct answer and lose 8 for each incorrect
answer. One team finished with a score of
566. How many questions did this team
answer correctly?
7-1 and 7-2 Objective: To solve factoring Word Problems and to review other word problems.
14) A chemist mixes 16 L of a 40% acid solution
and 24 L of a 16% acid solution. What is the
percent of acid of the mixture?
15) A grocer mixes a premium blend worth $17
per kilogram with a blend worth $7 per
kilogram to make 36 kg of a blend worth $11
per kilogram. How many kilograms of each
type are included?
16) The sum of two numbers is 51 and their
difference is 13. Find the numbers.
17) Five pens and four pencils cost $2.55. But four
pens and five pencils cost $2.40. How much
do the pens cost and how much do the pencils
cost?
18) The price of a home increased 12% to
$78,400. What was the original price of the
home?
19) The price of a shirt was decreased by 30% to
$23.50. What was the original price of the
shirt?
20) The student’s grade increased by 15%. Their
new grade is an 85%. What was their original
grade?
21) The real estate agent made a 3% commission
on the sale of a $455,000 house. How much
money did the agent make?