Algebra Word Problems Review

There are 10 less trumpet players than saxophone players. The number of saxophone players is 3 times the number of trumpet players. How many trumpet players are there?

The larger of two numbers is 10 less than twice the smaller number. If the sum of the two numbers is 38, find the two numbers.

• 16,22

• 10,28

Find 3 consecutive integers such that twice the sum of the first two is 2 less than 3 times the third.

Find four consecutive integers such that 6 times the sum of the first and the fourth is 26 less than 10 times the third.

Find four consecutive integers such that 8 times the sum of the first and the third is 40 greater than 10 times the fourth.

Jack and Betty have 28 coins that are nickels and dimes. If the value of the coins is $1. 95 cents, how many nickels do they have?

Ming has $4.45 in quarters and dimes. She has 8 more quarters than dimes. How many dimes does she have?

Emil has $6. 45 cents in quarters and dimes. He has 9 more quarters than dimes. How many dimes does he have?

Find two consecutive, even integers such that three times the first is eight more than twice the second.

• 12 and 14

• 6 and 8

• 10 and 12

• 8 and 10

One half of 2 more than 3 times a number is 14 less than twice the number. Find this number.

• 24

• 26

• 28

• 30