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Name: _________________________________________
Date: _____________
Number Problems #2
Directions: Solve each of the following word problems algebraically. Make sure that you show the
following for each question:
(1)
Let Statements
(2)
An Equation
(3)
Your Work to Solve the Equation
(4)
You answer to the question in a COMPLETE SENTENCE.
(1)
The larger of two numbers is twice the smaller. If the sum of the two numbers is 96, find the
numbers.
(2)
One number is 5 times another. If their difference is 96, find the numbers.
(3)
Herbert is 5 times as old as Mike. If the sum of their ages is 18 years, find the age of each
boy.
(4)
The larger of two numbers is 12 more than the smaller. The sum of the numbers is 36. Find
the numbers.
(5)
Jeff and Marion sold 89 magazines. If Jeff sold 1 more than 3 times the number Marion sold,
find ht number sold by each.
(6)
Eight times a number equals 35 more than the number. Find the number.
(7)
Six times a number equals 3 times the number, increased by 24. Find the number.
(8)
If twice a number is subtracted from 132, the result is equal to four times the number. Find the
number.
(9)
If six times a number is increased by 3, the result is equal to 9 times the number increased by
27. Find the number.
(10)
The larger of two numbers is 5 more than the smaller. The smaller number plus twice the
larger equals 100. Find the numbers.
(11)
One number is 2 smaller than another. If 4 times the larger is subtracted from 5 times the
smaller, the result is 10. Find the numbers.
(12)
A coat costs $60 more than a dress. Two coats and 4 dresses cost $420. Find the cost of each.
(13)
Jose is 4 years older than Catherine. If 4 times Catherine’s age is subtracted from 5 times
Jose’s age, the difference is 32 years. Find Jose’s age.
(14)
The larger of two numbers is 1 more than 3 times the smaller. The difference between 8 times
the smaller and 2 times the larger is 10. Find the numbers.
(15)
The second of three numbers is 2 more than the first. The third number is twice the first. The
sum of the first and third exceeds the second by 2. Find the three numbers.
(16)
The second of three numbers is 1 less than the first. The third number is 5 less than twice the
second. If the third number exceeds the first number by 12, find the three numbers.