Solving Equations: Consecutive Even Integer Sums

Two consecutive even integers have a sum of 34. What are the integers?

• 12 and 14

• 16 and 18

• 18 and 20

• 14 and 16

The sum of three consecutive even integers is 54. Write an equation to find the integers.

• 16, 18, 20

• 14, 16, 18

• 12, 14, 16

• 18, 20, 22

If the first of three consecutive even integers is x, write an equation for their sum being 72.

• 4x = 72

• x + 2 = 72

• 3x + 6 = 72

• 2x + 4 = 72

Four consecutive even integers add up to 100. What are the integers?

• 20, 22, 24, 26

• 18, 20, 22, 24

• 22, 24, 26, 28

• 24, 26, 28, 30

A pair of consecutive even integers has a difference of 4. If the smaller integer is x, write an equation for the larger integer.

• x + 6

• x - 4

• x + 2

• x + 4

The sum of two consecutive even integers is 46. What are the integers?

• 24 and 26

• 18 and 20

• 22 and 24

• 20 and 22

Three consecutive even integers have a total of 78. Write an equation to find the integers.

• 24, 26, 28

• 26, 28, 30

• 20, 22, 24

• 22, 24, 26

If the first even integer is 2x, what is the equation for the sum of the first three consecutive even integers?

• 6x + 6

• 2x + 2

• 8x + 8

• 4x + 4

The sum of five consecutive even integers is 150. What are the integers?

• 30, 32, 34, 36, 38

• 26, 28, 30, 32, 34

• 20, 22, 24, 26, 28

• 24, 26, 28, 30, 32

Two consecutive even integers are such that the larger integer is 10 more than the smaller. Write an equation to find the integers.

• 6 and 8

• 8 and 10

• 10 and 12

• 4 and 6