MathScore EduFighter is one of the best math games on the Internet today. You can start playing for free!

## Integer Word Problems - Sample Math Practice Problems

The math problems below can be generated by MathScore.com, a math practice program for schools and individual families. References to complexity and mode refer to the overall difficulty of the problems as they appear in the main program. In the main program, all problems are automatically graded and the difficulty adapts dynamically based on performance. Answers to these sample questions appear at the bottom of the page. This page does not grade your responses.

Want unlimited math worksheets? Learn more about our online math practice software.
See some of our other supported math practice problems.

### Complexity=2, Mode=basic

Solve. If necessary, separate your answers by commas. Example: 2,3

 1 The sum of two consecutive integers is 33. Find the two integers. 2 The sum of two consecutive integers is -43. Find the two integers.

### Complexity=3, Mode=basic

Solve. If necessary, separate your answers by commas. Example: 2,3

 1 The sum of three consecutive integers is -48. Find the three integers. 2 The sum of three consecutive integers is -87. Find the largest integer.

### Complexity=2, Mode=oddEven

Solve. If necessary, separate your answers by commas. Example: 2,3

 1 The sum of two even consecutive integers is 54. Find the two integers. 2 The sum of two odd consecutive integers is -44. Find the two integers.

### Complexity=3, Mode=oddEven

Solve. If necessary, separate your answers by commas. Example: 2,3

 1 The sum of three odd consecutive integers is -69. Find the smallest integer. 2 The sum of three even consecutive integers is 24. Find the three integers.

### Complexity=2, Mode=alg

Solve. If necessary, separate your answers by commas. Example: 2,3

 1 The sum of an integer and three more than five times itself is 33. Find the integer. 2 The sum of an integer and three more than five times itself is 111. Find the integer.

### Complexity=2, Mode=square

Solve. If necessary, separate your answers by commas. Example: 2,3

 1 The sum of the squares of two consecutive even positive integers is 164. Find the integers. 2 The square of an integer minus five times the integer is -4. Find all possible solutions.

### Complexity=2, Mode=basic

Solve. If necessary, separate your answers by commas. Example: 2,3

1The sum of two consecutive integers is 33. Find the two integers.
Solution
Let x = first integer
Let x + 1 = second integer.

Equation setup:
x + (x + 1) = 33
x = 16

2The sum of two consecutive integers is -43. Find the two integers.
Solution
Let x = first integer
Let x + 1 = second integer.

Equation setup:
x + (x + 1) = -43
x = -22

### Complexity=3, Mode=basic

Solve. If necessary, separate your answers by commas. Example: 2,3

1The sum of three consecutive integers is -48. Find the three integers.
Solution
Let x = first integer
Let x + 1 = second integer.
Let x + 2 = third integer.

Equation setup:
x + (x + 1) + (x + 2) = -48
x = -17

2The sum of three consecutive integers is -87. Find the largest integer.
Solution
Let x = first integer
Let x + 1 = second integer.
Let x + 2 = third integer.

Equation setup:
x + (x + 1) + (x + 2) = -87
x = -30
The largest integer is x + 2 = -28

### Complexity=2, Mode=oddEven

Solve. If necessary, separate your answers by commas. Example: 2,3

1The sum of two even consecutive integers is 54. Find the two integers.
Solution
Let x = first integer
Let x + 2 = second even integer.

Equation setup:
x + (x + 2) = 54
x = 26

2The sum of two odd consecutive integers is -44. Find the two integers.
Solution
Let x = first integer
Let x + 2 = second odd integer.

Equation setup:
x + (x + 2) = -44
x = -23

### Complexity=3, Mode=oddEven

Solve. If necessary, separate your answers by commas. Example: 2,3

1The sum of three odd consecutive integers is -69. Find the smallest integer.
Solution
Let x = first integer
Let x + 2 = second odd integer.
Let x + 4 = third odd integer.

Equation setup:
x + (x + 2) + (x + 4) = -69
x = -25
The smallest integer is x = -25

2The sum of three even consecutive integers is 24. Find the three integers.
Solution
Let x = first integer
Let x + 2 = second even integer.
Let x + 4 = third even integer.

Equation setup:
x + (x + 2) + (x + 4) = 24
x = 6

### Complexity=2, Mode=alg

Solve. If necessary, separate your answers by commas. Example: 2,3

1The sum of an integer and three more than five times itself is 33. Find the integer.
Solution
Let x = integer

Equation setup:
x + (5x + 3) = 33
x = 5

2The sum of an integer and three more than five times itself is 111. Find the integer.
Solution
Let x = integer

Equation setup:
x + (5x + 3) = 111
x = 18

### Complexity=2, Mode=square

Solve. If necessary, separate your answers by commas. Example: 2,3

1The sum of the squares of two consecutive even positive integers is 164. Find the integers.
Solution
Let x = integer
Let x + 2 = next even integer

Equation setup:
x2 + (x + 2)2 = 164
2x 2 + 4x - 160 = 0
Solve to get x = 8