Chapter 3
Elementary Algebra · 278 exercises
Problem 1
List five positive thoughts you can say to yourself that will help you approach word problems with a positive attitude. You may want to copy them on a sheet of paper and put it in the front of your notebook, where you can read them often.
5 step solution
Problem 2
List five negative thoughts that you have said to yourself in the past that will hinder your progress on word problems. You may want to write each one on a small piece of paper and rip it up to symbolically destroy the negative thoughts.
7 step solution
Problem 3
In the following exercises, solve using the problem solving strategy for word problems. Remember to write a complete sentence to answer each question. Two-thirds of the children in the fourth-grade class are girls. If there are 20 girls, what is the total number of children in the class?
5 step solution
Problem 4
In the following exercises, solve using the problem solving strategy for word problems. Remember to write a complete sentence to answer each question. Three-fifths of the members of the school choir are women. If there are 24 women, what is the total number of choir members?
5 step solution
Problem 5
In the following exercises, solve using the problem solving strategy for word problems. Remember to write a complete sentence to answer each question. Zachary has 25 country music CDs, which is one-fifth of his CD collection. How many CDs does Zachary have?
5 step solution
Problem 6
In the following exercises, solve using the problem solving strategy for word problems. Remember to write a complete sentence to answer each question. One-fourth of the candies in a bag of M\&M's are red. If there are 23 red candies, how many candies are in the bag?
6 step solution
Problem 7
In the following exercises, solve using the problem solving strategy for word problems. Remember to write a complete sentence to answer each question. There are 16 girls in a school club. The number of girls is four more than twice the number of boys. Find the number of boys.
4 step solution
Problem 8
In the following exercises, solve using the problem solving strategy for word problems. Remember to write a complete sentence to answer each question. There are 18 Cub Scouts in Pack 645. The number of scouts is three more than five times the number of adult leaders. Find the number of adult leaders.
5 step solution
Problem 9
In the following exercises, solve using the problem solving strategy for word problems. Remember to write a complete sentence to answer each question. Huong is organizing paperback and hardback books for her club's used book sale. The number of paperbacks is 12 less than three times the number of hardbacks. Huong had 162 paperbacks. How many hardback books were there?
5 step solution
Problem 10
In the following exercises, solve using the problem solving strategy for word problems. Remember to write a complete sentence to answer each question. Jeff is lining up children's and adult bicycles at the bike shop where he works. The number of children's bicycles is nine less than three times the number of adult bicycles. There are 42 adult bicycles. How many children's bicycles are there?
5 step solution
Problem 11
In the following exercises, solve using the problem solving strategy for word problems. Remember to write a complete sentence to answer each question. Philip pays \(\$ 1,620\) in rent every month. This amount is \(\$ 120\) more than twice what his brother Paul pays for rent. How much does Paul pay for rent?
5 step solution
Problem 12
In the following exercises, solve using the problem solving strategy for word problems. Remember to write a complete sentence to answer each question. Marc just bought an SUV for \(\$ 54,000\). This is \(\$ 7,400\) less than twice what his wife paid for her car last year. How much did his wife pay for her car?
5 step solution
Problem 13
In the following exercises, solve using the problem solving strategy for word problems. Remember to write a complete sentence to answer each question. Laurie has \(\$ 46,000\) invested in stocks and bonds. The amount invested in stocks is \(\$ 8,000\) less than three times the amount invested in bonds. How much does Laurie have invested in bonds?
5 step solution
Problem 14
In the following exercises, solve using the problem solving strategy for word problems. Remember to write a complete sentence to answer each question. Erica earned a total of \(\$ 50,450\) last year from her two jobs. The amount she earned from her job at the store was \(\$ 1,250\) more than three times the amount she earned from her job at the college. How much did she earn from her job at the college?
7 step solution
Problem 15
In the following exercises, solve each number word problem. The sum of a number and eight is 12 . Find the number.
4 step solution
Problem 16
In the following exercises, solve each number word problem. The sum of a number and nine is 17 . Find the number.
5 step solution
Problem 17
In the following exercises, solve each number word problem. The difference of a number and 12 is three. Find the number.
4 step solution
Problem 18
In the following exercises, solve each number word problem. The difference of a number and eight is four. Find the number.
4 step solution
Problem 19
In the following exercises, solve each number word problem. The sum of three times a number and eight is \(23 .\) Find the number.
6 step solution
Problem 20
In the following exercises, solve each number word problem. The sum of twice a number and six is 14 . Find the number.
5 step solution
Problem 21
In the following exercises, solve each number word problem. The difference of twice a number and seven is 17 . Find the number.
5 step solution
Problem 22
In the following exercises, solve each number word problem. The difference of four times a number and seven is 21 . Find the number.
6 step solution
Problem 23
In the following exercises, solve each number word problem. Three times the sum of a number and nine is \(12 .\) Find the number.
4 step solution
Problem 24
In the following exercises, solve each number word problem. Six times the sum of a number and eight is 30 . Find the number.
6 step solution
Problem 25
In the following exercises, solve each number word problem. One number is six more than the other. Their sum is 42 . Find the numbers.
6 step solution
Problem 26
In the following exercises, solve each number word problem. One number is five more than the other. Their sum is 33 . Find the numbers.
6 step solution
Problem 27
In the following exercises, solve each number word problem. The sum of two numbers is 20 . One number is four less than the other. Find the numbers.
6 step solution
Problem 28
In the following exercises, solve each number word problem. The sum of two numbers is 27 . One number is seven less than the other. Find the numbers.
6 step solution
Problem 29
In the following exercises, solve each number word problem. The sum of two numbers is -45. One number is nine more than the other. Find the numbers.
5 step solution
Problem 30
In the following exercises, solve each number word problem. The sum of two numbers is -61. One number is 35 more than the other. Find the numbers.
5 step solution
Problem 31
In the following exercises, solve each number word problem. The sum of two numbers is -316. One number is 94 less than the other. Find the numbers.
5 step solution
Problem 32
In the following exercises, solve each number word problem. The sum of two numbers is -284. One number is 62 less than the other. Find the numbers.
6 step solution
Problem 33
In the following exercises, solve each number word problem. One number is 14 less than another. If their sum is increased by seven, the result is \(85 .\) Find the numbers.
6 step solution
Problem 34
In the following exercises, solve each number word problem. One number is 11 less than another. If their sum is increased by eight, the result is 71 . Find the numbers.
6 step solution
Problem 35
In the following exercises, solve each number word problem. One number is five more than another. If their sum is increased by nine, the result is 60 . Find the numbers.
7 step solution
Problem 36
In the following exercises, solve each number word problem. One number is eight more than another. If their sum is increased by \(17,\) the result is \(95 .\) Find the numbers.
7 step solution
Problem 37
In the following exercises, solve each number word problem. One number is one more than twice another. Their sum is -5 . Find the numbers.
6 step solution
Problem 38
In the following exercises, solve each number word problem. One number is six more than five times another. Their sum is six. Find the numbers.
5 step solution
Problem 39
In the following exercises, solve each number word problem. The sum of two numbers is 14 One number is two less than three times the other. Find the numbers.
6 step solution
Problem 40
In the following exercises, solve each number word problem. The sum of two numbers is zero. One number is nine less than twice the other. Find the numbers.
5 step solution
Problem 41
In the following exercises, solve each number word problem. The sum of two consecutive integers is \(77 .\) Find the integers.
5 step solution
Problem 42
In the following exercises, solve each number word problem. The sum of two consecutive integers is \(89 .\) Find the integers.
5 step solution
Problem 43
In the following exercises, solve each number word problem. The sum of two consecutive integers is -23 . Find the integers.
7 step solution
Problem 44
In the following exercises, solve each number word problem. The sum of two consecutive integers is \(-37 .\) Find the integers.
7 step solution
Problem 45
In the following exercises, solve each number word problem. The sum of three consecutive integers is 78 . Find the integers.
5 step solution
Problem 46
In the following exercises, solve each number word problem. The sum of three consecutive integers is \(60 .\) Find the integers.
6 step solution
Problem 47
In the following exercises, solve each number word problem. Find three consecutive integers whose sum is -36 .
6 step solution
Problem 48
In the following exercises, solve each number word problem. Find three consecutive integers whose sum is -3 .
6 step solution
Problem 49
In the following exercises, solve each number word problem. Find three consecutive even integers whose sum is 258 .
6 step solution
Problem 50
In the following exercises, solve each number word problem. Find three consecutive even integers whose sum is 222 .
5 step solution