Math Practice Problems - Integer Word Problems

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.

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Complexity=2, Mode=basic

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

1.

The sum of two consecutive integers is -29. Find the two integers.

2.

The sum of two consecutive integers is 55. 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 15. Find the three integers.

2.

The sum of three consecutive integers is -21. Find the smallest integer.

Complexity=2, Mode=oddEven

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

1.

The sum of two odd consecutive integers is -16. Find the two integers.

2.

The sum of two even consecutive integers is 6. Find the two integers.

Complexity=3, Mode=oddEven

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

1.

The sum of three even consecutive integers is -36. Find the three integers.

2.

The sum of three odd consecutive integers is 99. Find the largest integer.

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 three times the next consecutive integer is 30. Find the integers.

2.

The sum of an integer and four more than twice itself is 52. Find the integer.

Complexity=2, Mode=square

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

1.

The square of an integer minus two times the integer is 0. Find all possible solutions.

2.

The square of an integer minus three times the integer is 18. Find all possible solutions.

Answers

Complexity=2, Mode=basic

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

#	Problem	Correct Answer	Your Answer
1	The sum of two consecutive integers is -29. Find the two integers.
Solution Let x = first integer Let x + 1 = second integer. Equation setup: x + (x + 1) = -29 x = -15

#	Problem	Correct Answer	Your Answer
2	The sum of two consecutive integers is 55. Find the two integers.
Solution Let x = first integer Let x + 1 = second integer. Equation setup: x + (x + 1) = 55 x = 27

Complexity=3, Mode=basic

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

#	Problem	Correct Answer	Your Answer
1	The sum of three consecutive integers is 15. 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) = 15 x = 4

#	Problem	Correct Answer	Your Answer
2	The sum of three consecutive integers is -21. Find the smallest integer.
Solution Let x = first integer Let x + 1 = second integer. Let x + 2 = third integer. Equation setup: x + (x + 1) + (x + 2) = -21 x = -8 The smallest integer is x = -8

Complexity=2, Mode=oddEven

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

#	Problem	Correct Answer	Your Answer
1	The sum of two odd consecutive integers is -16. Find the two integers.
Solution Let x = first integer Let x + 2 = second odd integer. Equation setup: x + (x + 2) = -16 x = -9

#	Problem	Correct Answer	Your Answer
2	The sum of two even consecutive integers is 6. Find the two integers.
Solution Let x = first integer Let x + 2 = second even integer. Equation setup: x + (x + 2) = 6 x = 2

Complexity=3, Mode=oddEven

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

#	Problem	Correct Answer	Your Answer
1	The sum of three even consecutive integers is -36. 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) = -36 x = -14

#	Problem	Correct Answer	Your Answer
2	The sum of three odd consecutive integers is 99. Find the largest 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) = 99 x = 31 The largest integer is x + 4 = 35

Complexity=2, Mode=alg

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

#	Problem	Correct Answer	Your Answer
1	The sum of an integer and three more than three times the next consecutive integer is 30. Find the integers.
Solution Let x = integer Let x + 1 = next integer Equation setup: x + [3(x + 1) + 3] = 30 x = 6

#	Problem	Correct Answer	Your Answer
2	The sum of an integer and four more than twice itself is 52. Find the integer.
Solution Let x = integer Equation setup: x + (2x + 4) = 52 x = 16

Complexity=2, Mode=square

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

#	Problem	Correct Answer	Your Answer
1	The square of an integer minus two times the integer is 0. Find all possible solutions.
Solution Let x = an integer Equation setup: x² - 2x = 0 x² - 2x + 0 = 0 Solve to get x = 2,0

#	Problem	Correct Answer	Your Answer
2	The square of an integer minus three times the integer is 18. Find all possible solutions.
Solution Let x = an integer Equation setup: x² - 3x = 18 x² - 3x - 18 = 0 Solve to get x = 6,-3

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