Section 10.5: Word Problems Practice

This section focuses on solving a variety of word problems using algebraic techniques learned throughout the course.

Word Problem Exercises

  1. A rectangle’s length is twice its width. If the perimeter is 36 cm, find the dimensions.
  2. A store sold 120 items: hats $8 each, gloves $12 each. Total sales $1,200. How many of each were sold?
  3. The sum of two numbers is 45. One number is 3 more than twice the other. Find the numbers.
  4. A train travels 60 miles per hour for 3 hours. How far does it go?
  5. A garden has a length 4 meters longer than its width. If the area is 60 m², find the dimensions.
  6. Two angles are complementary. One angle is 10° more than the other. Find the angles.
  7. Sam bought 3 notebooks and 2 pens for $11.50. Another customer bought 2 notebooks and 3 pens for $10.00. Find the cost of each.
  8. A car rental costs $25 per day plus $0.15 per mile. If the total cost for 100 miles is $40, find the number of days rented.
  9. A pool is filled by two pipes. One fills it in 6 hours, the other in 4 hours. How long if both are open together?
  10. A baker made 150 cookies. If chocolate cookies are 2/5 of the total, how many are vanilla?