Practice Page
Directions: Answer these questions pertaining to expressions involving consecutive integers. Check each answer when finished.

1.
Three positive consecutive odd integers are represented by a, a + 2, a + 4. What will be the fourth representation?
Choose:
  a + 5 a + 4 2a + 1 a + 6

 

 

2.
The first three integers, in a list of consecutive integers, are represented as b, b + 1, and b + 2. Which choice is the expression that will appear for the 15th entry in the list?
Choose:
  b + 15 b + 16 b + 14 b + 18

 

 

3.
The first of five positive consecutive even integers is represented by x. Which expression needs to be added to this first value to express the fifth integer?
Choose:
  x + 4 x + 8 4 8

 

 

4.
If the third term in a listing of positive consecutive integers is expressed as x + 24, which expression represents the first term in this listing?
Choose:
  x + 18 x + 20 x + 21 x + 22

 

 

5.
Which expression is equivalent to the sum of three consecutive odd integers, starting with the odd integer n?
Choose:
  n3 + 3 3(n + 1) n2 + 6 3(n + 2)

 


6.
If the fourth term in a listing of positive even integers is expressed as x + 26, which expression represents the first term in this listing?
Choose:
  x + 18 x + 19 x + 20 x + 22

 

 

7.
Express the sum of the first five terms of a listing of consecutive integers whose first term is x.
Choose:
  5x + 10 5x + 9 4x + 9 4x + 10

 

 

8.
Which expression is equivalent to the larger of two consecutive even integers being added to three times the smaller.
Choose:
  4x + 1 2(2x + 1) 4(x + 1) 2(x + 2)


 

9.
Which expression can NOT represent the sum of four consecutive even integers?
Choose:
  4x + 12 4(x + 3) 2(2x + 6) 3(x + 4)

 


10.
Which of the following expressions could be the equivalent to the sum of four positive consecutive odd integers minus three times the third term?
Choose:
  3x + 12 x + 24 x 4x



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