Algebra NAME ___________________________ WP-3 DATE _______________________ WORD PROBLEMS INVOLVING CONSECUTIVE INTEGERS HOMEWORK #1 Solve each of the following word problems. Show the following steps: 1) 3) LET statement Solving of the equation 1) Find two consecutive integers that sum 2) to 77. Find three consecutive integers that sum to -69. 3) Find two consecutive even integers that sum to 94. Find two consecutive odd integers that sum to 248. MCD/LPG/MPH 11/12 2) 4) 4) Equation Answer in sentence form 1 Algebra 5) Find three consecutive odd integers that sum to -135. 6) Find three consecutive even integers that sum to 342. 7) Find four consecutive integers that sum to -134. 8) Find four consecutive odd integers that sum to 408. MCD/LPG/MPH 11/12 2 Algebra NAME ___________________________ WP-3 DATE _______________________ WORD PROBLEMS INVOLVING CONSECUTIVE INTEGERS HOMEWORK #2 Solve each of the following word problems. Show the following steps: 1) 3) LET statement Solving of the equation 1) Find three consecutive integers such that 3 more than twice the first is equal to the sum of the second and third. 2) Find three consecutive odd integers such that twice the second is 15 more than the third. MCD/LPG/MPH 11/12 2) 4) Equation Answer in sentence form 3 Algebra 3) Find three consecutive even integers such that the third is 8 less than twice the second. 4) Find two consecutive odd integers such that twice the greater number is 13 less than three times the lesser number. MCD/LPG/MPH 11/12 4 Algebra NAME ___________________________ WP-3 DATE _______________________ WORD PROBLEMS INVOLVING CONSECUTIVE INTEGERS HOMEWORK #3 Solve each of the following word problems. Show the following steps: 1) 3) LET statement Solving of the equation 1) Find two consecutive integers such that 3 times the first integer plus 2 times the second integer is equal to 107. 2) The lengths of the sides of a triangle are consecutive odd integers. The perimeter is 27 in. What are the lengths of the sides? MCD/LPG/MPH 11/12 2) 4) Equation Answer in sentence form 5 Algebra 3) Adam, Lee, and Jose finished in consecutive order in a cross-country race. Their combined score was 33. In what places did they finish? 4) Three consecutive even integers are such that the sum of the smallest and 3 times the second is 38 more than twice the third. Find the integers. 5) The lengths of the sides of a triangle are consecutive odd integers. If the perimeter is one less than four times the shortest side, find the length of each side. MCD/LPG/MPH 11/12 6