Exploring Consecutive Integer Word Problems

The video tutorial covers solving consecutive integer problems. It begins with an introduction to the problem-solving procedure, emphasizing understanding the problem, assigning variables, writing equations, solving them, and checking the answers. The first example involves finding the smallest of three consecutive odd integers whose sum is 21. The second example involves finding two consecutive integers where the smaller added to four times the larger equals 79. Both examples demonstrate setting up equations and solving them step-by-step.

What is the first step in solving an applied problem?

• Assign a variable to the unknown

• Write an equation

• Check the answer

• Read the problem carefully

If the sum of three consecutive odd integers is 21, what is the smallest odd integer?

• 3

• 5

• 9

• 7

What is the middle odd integer if the smallest is 5?

• 13

• 11

• 9

• 7

How do you represent the largest odd integer if the smallest is x?

• x + 1

• x + 2

• x + 4

• x + 3

What is the sum of 5, 7, and 9?

• 22

• 21

• 20

• 19

What is the equation formed when the sum of three consecutive odd integers is 21?

• x + x + 1 + x + 2 = 21

• x + x + 2 + x + 4 = 21

• x + x + 3 + x + 6 = 21

• x + x + 4 + x + 8 = 21

What is the smaller integer if the sum of the smaller and four times the larger is 79?

• 17

• 16

• 14

• 15

What is the larger integer if the smaller is 15?

• 18

• 19

• 17

• 16

What is the equation formed when the smaller of two consecutive integers is added to four times the larger to get 79?

• x + 4(x + 1) = 79

• x + 4(x + 2) = 79

• x + 4(x + 3) = 79

• x + 4(x + 4) = 79

What is the value of 4 times 16 plus 15?

• 75

• 76

• 77

• 79