Math Practice Problems - Integer Word Problems

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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=3, Mode=basic

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

Complexity=2, Mode=oddEven

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

Complexity=3, Mode=oddEven

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

Complexity=2, Mode=alg

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

Complexity=2, Mode=square

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

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 33. Find the two integers.
Solution Let x = first integer Let x + 1 = second integer. Equation setup: x + (x + 1) = 33 x = 16

#	Problem	Correct Answer	Your Answer
2	The 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

#	Problem	Correct Answer	Your Answer
1	The 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

#	Problem	Correct Answer	Your Answer
2	The 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

#	Problem	Correct Answer	Your Answer
1	The 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

#	Problem	Correct Answer	Your Answer
2	The 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

#	Problem	Correct Answer	Your Answer
1	The 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

#	Problem	Correct Answer	Your Answer
2	The 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

#	Problem	Correct Answer	Your Answer
1	The 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

#	Problem	Correct Answer	Your Answer
2	The 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

#	Problem	Correct Answer	Your Answer
1	The 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 2x² + 4x - 160 = 0 Solve to get x = 8

#	Problem	Correct Answer	Your Answer
2	The square of an integer minus five times the integer is -4. Find all possible solutions.
Solution Let x = an integer Equation setup: x² - 5x = -4 x² - 5x + 4 = 0 Solve to get x = 4,1

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