Math 8CH
Word Problems
Name_____________________
1. When 43 is subtracted from 4 times a number, the result is 128. What is the number?
2. The angle between the equal sides of an isosceles triangle measures 40 degrees, what is the
measure of each of the base angles?
3. The cost of leasing a car was a $2500 down payment, plus a monthly payment. If the total cost
of leasing a car for the first year was $11200, what was the monthly payment?
4. The perimeter of a volleyball court is 54 m. The length is 9 m longer than the width. Find the
dimensions of the court.
5. The cost of renting a car is $40 per day, plus 25 cents per kilometer. If the total cost for 3 days
was $220, how many kilometers were driven?
6. The sum of the interior angles of an n-sided polygon is 180º(n-2). If the sum of the measure of
the interior angles is 1080º, how many sides are in the polygon?
7. The cost for 12 people to attend a concert was $402, which included $5 each for transportation
to the concert. What was the price of one ticket?
8. The total price of 30 shirts was $375. This included a volume discount of $4 per t-shirt. What
was the original price of each t-shirt?
9. Eight less than 7 times a number is the same as 4 more than 3 times the number. Find the
number.
10. Four times a number is the same as 14 less than twice the number. Find the number.
11. Two more than a number is the same as 16 decreased by 6 times the number. Find the number.
12. Rolex owns 17 ounces of gold. This is two ounces more than three fourths of the amount he
owned last year. How much did he own last year?
13. Two consecutive numbers have a sum of 25. What are the two numbers? Represent this
problem with an algebraic equation.
14. $50 is to be split among three friends. Friend B gets double the amount of friend A, and friend C
gets $10 more than friend B. How much money does each friend get?
Answers:
1) 42.75
4) w=9, L=18
7) $28.50
10) -7
13) 12,13
2) 70º
5) 400 km
8) $16.50
11) 2
14)$8,$16,$26
3) $725/month
6) 8
9) 3
12) 20
Puzzles:
1. A census taker approaches a woman leaning on her gate and asks about her children. She says, “I
have three children and the product of their ages is thirty-six. The sum of their ages is the number on
this gate.” The census taker does some calculation and claims not to have enough information. The
woman enters her house, but before slamming the door tells the census taker, “I have to see to my
eldest child who is in bed with measles.” The census taker departs, satisfied.
What are the ages of the three children?
2. At a restaurant downtown, Mr. Red, Mr. Blue and Mr. White meet for lunch. Under their coats they
are wearing either a red, blue or white shirt.
Mr. Blue says, “Hey, did you notice we are all wearing different coloured shirts form our names?”
The man wearing the white shirt says, “Wow Mr Blue, that’s right.”
Can you tell who is wearing what colour shirt?