Integer Word Problems Sample Problems

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These sample problems below for Integer Word Problems were generated by the MathScore.com engine.

Sample Problems For Integer Word Problems

Complexity=2, Mode=basic

Solve. Separate your answers by commas. Example: 2,5

The sum of two consecutive integers is -13. Find the two integers.

The sum of two consecutive integers is 61. Find the two integers.

Complexity=3, Mode=basic

Solve. Separate your answers by commas. Example: 2,5

The sum of three consecutive integers is 51. Find the largest integer.

The sum of three consecutive integers is 93. Find the three integers.

Complexity=2, Mode=oddEven

Solve. Separate your answers by commas. Example: 2,5

The sum of two odd consecutive integers is -12. Find the two integers.

The sum of two odd consecutive integers is 56. Find the two integers.

Complexity=3, Mode=oddEven

Solve. Separate your answers by commas. Example: 2,5

The sum of three even consecutive integers is -72. Find the three integers.

The sum of three even consecutive integers is 60. Find the smallest integer.

Complexity=2, Mode=alg

Solve. Separate your answers by commas. Example: 2,5

The sum of an integer and seven more than four times the next consecutive integer is 66. Find the integers.

The sum of an integer and two less than twice itself is 52. Find the integer.

Complexity=2, Mode=square

Solve. Separate your answers by commas. Example: 2,5

Two more than an integer times four more than the integer is 35. Find all possible solutions.

Three less than an integer times three more than the integer is 27. Find all possible solutions.

Answers

Complexity=2, Mode=basic

Solve. Separate your answers by commas. Example: 2,5

#	Problem	Correct Answer	Your Answer
1	The sum of two consecutive integers is -13. Find the two integers.
Solution Let x = first integer Let x + 1 = second integer. Equation setup: x + (x + 1) = -13 x = -7

#	Problem	Correct Answer	Your Answer
2	The sum of two consecutive integers is 61. Find the two integers.
Solution Let x = first integer Let x + 1 = second integer. Equation setup: x + (x + 1) = 61 x = 30

Complexity=3, Mode=basic

Solve. Separate your answers by commas. Example: 2,5

#	Problem	Correct Answer	Your Answer
1	The sum of three consecutive integers is 51. 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) = 51 x = 16 The largest integer is x + 2 = 18

#	Problem	Correct Answer	Your Answer
2	The sum of three consecutive integers is 93. 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) = 93 x = 30

Complexity=2, Mode=oddEven

Solve. Separate your answers by commas. Example: 2,5

#	Problem	Correct Answer	Your Answer
1	The sum of two odd consecutive integers is -12. Find the two integers.
Solution Let x = first integer Let x + 2 = second odd integer. Equation setup: x + (x + 2) = -12 x = -7

#	Problem	Correct Answer	Your Answer
2	The sum of two odd consecutive integers is 56. Find the two integers.
Solution Let x = first integer Let x + 2 = second odd integer. Equation setup: x + (x + 2) = 56 x = 27

Complexity=3, Mode=oddEven

Solve. Separate your answers by commas. Example: 2,5

#	Problem	Correct Answer	Your Answer
1	The sum of three even consecutive integers is -72. 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) = -72 x = -26

#	Problem	Correct Answer	Your Answer
2	The sum of three even consecutive integers is 60. Find the smallest integer.
Solution Let x = first integer Let x + 2 = second even integer. Let x + 4 = third even integer. Equation setup: x + (x + 2) + (x + 4) = 60 x = 18 The smallest integer is x = 18

Complexity=2, Mode=alg

Solve. Separate your answers by commas. Example: 2,5

#	Problem	Correct Answer	Your Answer
1	The sum of an integer and seven more than four times the next consecutive integer is 66. Find the integers.
Solution Let x = integer Let x + 1 = next integer Equation setup: x + [4(x + 1) + 7] = 66 x = 11

#	Problem	Correct Answer	Your Answer
2	The sum of an integer and two less than twice itself is 52. Find the integer.
Solution Let x = integer Equation setup: x + (2x - 2) = 52 x = 18

Complexity=2, Mode=square

Solve. Separate your answers by commas. Example: 2,5

#	Problem	Correct Answer	Your Answer
1	Two more than an integer times four more than the integer is 35. Find all possible solutions.
Solution Let x = an integer Equation setup: (x + 2)(x + 4) = 35 x² + 6x - 27 = 0 Solve to get x = 3,-9

#	Problem	Correct Answer	Your Answer
2	Three less than an integer times three more than the integer is 27. Find all possible solutions.
Solution Let x = an integer Equation setup: (x - 3)(x + 3) = 27 x² - 36 = 0 Solve to get x = 6,-6

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