Solving Consecutive Integer Word Problems

What does the term 'consecutive' mean in the context of integers?

• Numbers that are multiples of each other

• Numbers that follow each other in order

• Numbers that are prime

• Numbers that are even

If two consecutive integers have a sum of 77, what is the first step to solve for the integers?

• Multiply 77 by 2

• Subtract 1 from 77

• Label the first integer as x

• Divide 77 by 2

What is the sum of two consecutive integers if the first integer is 38?

• 79

• 80

• 75

• 77

How do you denote the second integer when solving for two consecutive integers?

• x - 1

• x + 2

• x + 1

• x

If two negative consecutive integers have a sum of -45, what is the first integer?

• -25

• -22

• -23

• -24

When solving for two negative consecutive integers, why do we still use x + 1 for the second integer?

• Because x is always positive

• Because the sum is negative

• To keep the method consistent

• To make the calculation easier

What is the sum of three consecutive even integers if the first integer is 72?

• 224

• 222

• 220

• 216

How do you denote the third integer when solving for three consecutive even integers?

• x + 4

• x + 3

• x + 2

• x + 5

What is the first integer if three consecutive odd integers have a sum of 75?

• 24

• 21

• 23

• 22

Why do we use x + 2 for the second integer when solving for three consecutive odd integers?

• To simplify the equation

• Because the sum is odd

• To ensure the integers remain odd

• Because odd numbers are always positive