Download Section 3-2 Day 5 Word Problems

Name__________________________________________ Date __________________________ Period______
Algebra 2
Section 3-2 Day 5
Word Problems
Review:
Key Words (or expressions) that can be used for the various operations:
Addition
Subtraction
Multiplication
Division
________ means equals!
Translate each sentence into an equation.
1. 6 less than a number is 9 _________________
2. 3 more than a number is 8 _________________
3. One half of a number is 4 __________________
4. 2 less than 3 times a number is 11 __________
5. Five less than twice a number is 15 ________________
6. Eleven more than twice x is five less than x__________________
7. Twice a number is 12 more than 5 times the number __________________
Steps to Solving a Word Problem:
1. _________________________________________________________________
2. _________________________________________________________________
3. _________________________________________________________________
4. _________________________________________________________________
5. __________________________________________________________________
Examples:
Solve each word problem using a system of equations.
1.
The sum of two numbers is 16. Their difference is 2. Find both numbers.
2.
The sum of two numbers is 11. The sum of one of the numbers and twice the other number is 14. Find
both numbers.
3.
One number is 1 less than twice another number. The sum of two numbers is 11. Find both numbers.
Solve each word problem using a system of equations.
4. One number is 4 more than three times another number. The sum of the two numbers is 12. Find both
numbers.
5. Two ice cream cones and one sundae cost $8. One ice cream cone and three sundaes cost $14. Find the
price of each item.
6. Three magazines and one paperback book cost $13. Two magazines and two paperback books cost $18.
Find the cost of each item.
Solve each word problem using a system of equations.
7. The sum of 2 numbers is 22. Their difference is 4. Find both numbers.
8. One number is 1 less than twice another number. The sum of the two numbers is 17. Find both
numbers.
9. The sum of 2 numbers is 28. Their difference is 12. Find both numbers.
Solve each word problem using a system of equations.
10. One number is 1 more than 3 times another number. The sum of the two numbers is 13. Find both
numbers.
11. Three shirts and 2 ties cost $114. The two shirts and 1 tie cost $72. Find the price of each item.
12. One hardback and 2 paperbacks cost $32. Two hardbacks and 1 paperback cost $43. Find the price of
each type of book.