Algebra 1 Unit 2 Part 2 Consecutive Integers Worksheet Name: ____________________________________ Date: ______________________ Hour: _________ Write an expression for each of the following. 1. The sum of an even integer and the next even integer ______________________________ 2. The sum of an odd integer and two times the next odd integer ______________________________ 3. The sum of an even integer and the next two even integers ______________________________ 4. The sum of 1 1 of an integer, of the next integer and 4 5 1 the following integer 2 5. 2 of the next integer, 3 and three times the following integer ______________________________ The sum of two times an integer, ______________________________ Solve the following. 2 of a number to the number itself, you get 56. What is the number? 5 6. If you add 7. If you add one third of a number to the number itself, you get 48. What is the number? 8. The sum of two consecutive odd integers is 76. What are the integers? 9. The sum of two consecutive even integers is 106. What are the integers? 10. The sum of three consecutive integers is 126. What are the integers? 11. One angle of a triangle is four times as large as another. The third angle is equal to the sum of the other two angles. What is the measure of the three angles? (Hint: The sum of the measures of the angles of a triangle is equal to 180 ) 12. A 48-foot wire is cut into three pieces. The second piece is three times as long as the first piece. The third piece is four times as long as the second piece. How long is each piece? 13. One number is 25% another number. The larger number is 12 more than the smaller. Both numbers are positive. What are the numbers? 14. Jane scored 78 on a test that had 4 seven-point fill-ins and 24 three-point multiple-choice questions. She had one fill-in wrong. How many multiple-choice answers did she get right? 15. A storekeeper goes to the bank to get $10 worth of change. He requests twice as many quarters as half dollars, twice as many dimes as quarters, three times as many nickels as dimes, and no pennies or dollars. How many of each coin did the storekeeper get if he received 95 coins all together?