CREATING ALGEBRAIC EXPRESSIONS FROM WORD PROBLEMS WORKSHEET

Problem 1 :

The sum of two consecutive even integers is ninety-four. Find the numbers.

Solution

Problem 2 :

One hundred sixty-two guests attended a banquet. Three servers provided their beverages. The first server helped three times as many people as the second server and the third server helped twice as many people as the first server. How many guests did each server help?

Solution

Problem 3 :

The sum of three numbers is fifty-eight. The second number is four more than the first number and the third number is eight more than the second number. What are the numbers?

Solution

Problem 4 :

Two case workers share an office. The first case worker has fifteen active cases. The second case worker has twice the number of active cases. How many active cases does the office have?

Solution

Problem 5 :

Nine times a number decreases by five is equal to forty-nine. What is the number?

Solution

Problem 6 :

The sum of two consecutive integers is one hundred twenty-three. Find the two numbers.

Solution

Problem 7 :

A college has two depositional systems classes with a total of two hundred thirty-seven students. One class has forty-five more students than the other class. How many students are in each class?

Solution