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This slideshow was created while teaching an algebra class. It was a fun way to review different algebraic concepts and reasoning skills. It gave the students and myself the opportunity to discuss the word problems and possible strategies. Happy learning!
1. LET’S BE A MATH
DETECTIVE!
Created by Marie @
thehomeschooldaily.com
15 Algebra Word Problems
2. Be a Math Detective!
1) The Adams family was going
to buy a car for $5800. The car
dealer offered the Adams
family two options for buying
the car. They could pay the full
amount in cash, or they could
pay $1000.00 down and $230.00 a
month for 24 months on the
installment plan. How much
more would they pay for the
car on the installment plan?
3. Be a Math Detective!
2) Lisa Lilly was the best
runner in the eighth grade.
One day she ran 100m in 40
seconds, 200m in 1 minute
and 10 seconds, and 200m
over low hurdles in one
and a half minutes. How
many more seconds did it
take her to run the 200m
over low hurdles then it
did to run the 200m dash?
4. Be a Math Detective!
3) A Christmas gift is tied with ribbon as shown.
The bow requires 47cm of ribbon. What is the
total length of the ribbon in meters?
5. Be a Math Detective!
4) In the following diagram of the front view of the Great
Pyramid, the measure of the angle PRQ is 120 degrees,
and the measure of the angle PST is 110 degrees. What is
the measure all the other angles? Remember: the three angles in
a triangle must equal 180 degrees just as the angles making up a line equal
180 degrees.
6. Be a Math Detective!
5) Chip said to Dale "If you give me one acorn, then we will
have an equal number of acorns." Dale replied with delight "If
you give me one acorn, then I will have double the number
you have!" What was the total number of acorns they had in
their tree? How many did Chip have and how many did Dale
have?
7. Be a Math Detective!
6.) Bart Simpson was walking the
long way home from school. He
started walking East. He walked
3 km East when he met a dog. He
ran back to the school and
decided to take the alternative
route. So he walked North 4 km
to his home. How many km did
Bart walk altogether? If Bart
had taken the short way home,
how many km would he have
walked? (Don’t overthink this )
8. Be a Math Detective!
7.) Lisa Simpson was in her
math class. She was told to
make a figure with four
thumbtacks, an elastic
band and a piece of wood.
She made the following
figure. Her math teacher
measured some of the
sides of her figure and told
Lisa to find the length of
the side LM in mm. Can
you help her?
9. Be a Math Detective!
8.) Batman must solve the
following problem to escape the
Riddler. The mid-points of the
sides of a square are joined as
shown. A fraction of the original
square is shaded. What is the
fraction? Can you help him?
10. Be a Math Detective!
9.) Jim has three
times as many comic
books as Charles.
Charles has two-
thirds as many comic
books as Bob. Bob has
27 comic books. How
many comic books
does Jim have.
11. Be a Math Detective!
10.) Bob is reading a 445 page book. He
has already read 157 pages. If he reads
24 pages a day, how long will it take him
to finish the book?
12. Be a Math Detective!
11.) My father is
four times as old
as me. In 20
years, he will be
only twice as old
as me. How old is
my father and
how old am I?
13. Be a Math Detective!
13.) If I pile grapefruit in a pyramid with 1 grapefruit
in the first layer, 4 in the second layer (from the
top), 9 in the third layer, and 16 in the fourth layer,
how many grapefruit will I need to make a pile with
10 layers?
14. Be a Math Detective!
14.) On an algebra test, I had seven times as
many correct answers as incorrect ones. There
were 120 items on the test, how many did I get
right?
15. Be a Math Detective!
15.) Homer Simpson entered
a pie eating contest at the
country fair. Homer was
determined to win and went
into training for 6 days. Each
day he ate 4 more pies than
the day before. Homer ate
150 pies while in training.
How many pies did he eat
each day?
16. THE END
CREATED BY MARIE @
THEHOMESCHOOLDAILY.COM
So teach us to
number our days,
that we may apply
our hearts unto
wisdom.
Psalm 90:12 (KJV)