Consecutive Integer and Quadratic Challenges for 8th Grade

The sum of three consecutive integers is 72. What are the integers?

• 21, 22, 23

• 20, 21, 22

• 25, 26, 27

• 23, 24, 25

The product of two consecutive integers is 240. What are the integers?

• 12 and 13

• 15 and 16

• 16 and 17

• 14 and 15

If the first of three consecutive integers is x, write a quadratic equation to represent the sum of these integers being 90. What are the integers?

• 29, 30, 31

• 28, 29, 30

• 30, 31, 32

• 25, 26, 27

A rectangle's length is three times its width. If the length and width are consecutive integers, what are their dimensions?

• Width: 4, Length: 12

• Width: 1, Length: 3

• Width: 2, Length: 6

• Width: 3, Length: 9

The difference between the squares of two consecutive integers is 1. What are the integers?

• 0 and 1

• -1 and 0

• 2 and 3

• 1 and 2

The sum of the squares of two consecutive integers is 85. What are the integers?

• 7 and 8

• 4 and 5

• 5 and 6

• 6 and 7

If the first of four consecutive integers is represented by x, write a quadratic equation for their product being 120. What are the integers?

• 0, 1, 2, 3

• 3, 4, 5, 6

• 2, 3, 4, 5

• 1, 2, 3, 4

A number is 5 less than the square of the next consecutive integer. If the number is x, write a quadratic equation and find the integers.

• The integers are 4 and -2.

• The integers are 1 and 3.

• The integers are 2 and -3.

• The integers are 0 and -5.

The sum of two consecutive integers is equal to the square of the smaller integer. What are the integers?

• 3 and 4

• 1 and 2

• 0 and 1

• 2 and 3

The product of three consecutive integers is 210. What are the integers?

• 3, 4, 5

• 5, 6, 7

• 4, 5, 6

• 6, 7, 8