Exploring Linear Word Problems with Consecutive Integers

This video lesson by Kirk Weiler focuses on solving linear word problems involving consecutive integers. It covers the definition and examples of consecutive integers, including even and odd integers. The lesson includes exercises that demonstrate how to solve problems with two, three, and four consecutive integers using algebraic methods. The video emphasizes understanding the terminology and applying algebraic properties to find solutions.

What is the main focus of this lesson?

• Geometric sequences

• Consecutive integer problems

• Probability

• Quadratic equations

Which of the following is NOT an integer?

• 0

• 1/2

• -5

• 3

What are consecutive integers?

• Integers that are even numbers

• Integers that are prime numbers

• Integers that follow each other in order

• Integers that are multiples of each other

If the sum of two consecutive integers is 11 less than three times the smaller integer, what are the integers?

• 12 and 13

• 10 and 11

• 14 and 15

• 16 and 17

What is the first step in solving a problem with two consecutive integers?

• Dividing the integers

• Setting up let statements

• Multiplying the integers

• Guessing the integers

What are the three consecutive odd integers if the sum of the larger two is 9 less than three times the smallest?

• 15, 17, 19

• 13, 15, 17

• 11, 13, 15

• 17, 19, 21

How do you find the next odd integer after a given odd integer?

• Add 1

• Add 3

• Add 2

• Add 4

What is the result when the difference between the first and twice the second of three consecutive even integers is found?

• The result is equal to the third integer

• The result is 8 less than the third integer

• The result is 8 more than the third integer

• The result is twice the third integer

What are the four consecutive integers if their sum is -18?

• -6, -5, -4, -3

• -7, -6, -5, -4

• -8, -7, -6, -5

• -5, -4, -3, -2

What is the key difference between consecutive even and consecutive odd integer problems?

• The method of solving

• The use of multiplication

• The type of integers used

• The number of integers involved