Solving Consecutive Integer Equations

The video tutorial explains how to solve word problems involving consecutive integers. It begins by defining integers and consecutive integers, then demonstrates how to represent them algebraically. Two examples are provided: finding three consecutive integers whose sum is 84, and finding two consecutive integers whose sum is 15. The video guides viewers through solving these problems step-by-step using algebraic methods.

What are integers?

• Only positive numbers

• Decimal numbers

• Whole numbers including zero and negatives

• Numbers with fractions

Which of the following is a set of consecutive integers?

• 10, 12, 14

• 5, 7, 9

• 1, 2, 3

• 2, 4, 6

How can consecutive integers be represented algebraically?

• n, n+1, n+2

• n, n-1, n-2

• n, n+2, n+4

• n, n+3, n+6

What is the first step in solving the problem of finding three consecutive integers whose sum is 84?

• Subtracting 3 from both sides

• Combining like terms

• Dividing by 3

• Adding 3 to both sides

If the sum of three consecutive integers is 84, what is the value of the first integer?

• 26

• 29

• 27

• 28

What are the three consecutive integers that sum to 84?

• 28, 29, 30

• 27, 28, 29

• 26, 27, 28

• 25, 26, 27

What is the first step in solving the problem of finding two consecutive integers whose sum is 15?

• Dividing by 2

• Combining like terms

• Subtracting 1 from both sides

• Adding 1 to both sides

If the sum of two consecutive integers is 15, what is the value of the first integer?

• 6

• 9

• 7

• 8

What are the two consecutive integers that add up to 15?

• 9 and 10

• 6 and 7

• 7 and 8

• 8 and 9

What operation is used to isolate the variable n in the equation 2n + 1 = 15?

• Multiplication

• Division

• Subtraction

• Addition