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Associative Property 1 - 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=1, Mode=add

Fill in the blanks.

1.  
(2 + 3) + 9 = 2 + (3 + 9)
+ 9 = 2 +
=
2.  
(2 + 5) + 6 = 2 + (5 + 6)
+ 6 = 2 +
=

Complexity=2, Mode=add

Fill in the blanks.

1.   4 + (6 + 7) = ( + ) +
2.   If (2 + 8) + 9 = 19, then what is 2 + (8 + 9)?

Complexity=3, Mode=add

Fill in the blanks.

1.   If (2 + 5) + x = 13, then what is 2 + (5 + x)?
2.   Rewrite the expression (3 + b) + 9 using the associative property.

Complexity=4, Mode=add

Fill in the blanks.

1.   If 5 + (x + 7) = (5 + 6) + 7, then what is x?
2.   Which equation(s) show the associative property?
Select the correct answer(s).
2 + (4 + 6) + 9 = 2 + 4 + (6 + 9)
1 + (2 + 5) + 6 = (1 + 2) + 5 + 6
2 + (3 - 6) = (2 + 3) - 6
(1 + 2) + 6 = 1 + (2 + 6)
none of the above

Answers

Complexity=1, Mode=add

Fill in the blanks.

#Correct AnswerYour Answer
1
(2 + 3) + 9 = 2 + (3 + 9)
+ 9 = 2 +
=
#Correct AnswerYour Answer
2
(2 + 5) + 6 = 2 + (5 + 6)
+ 6 = 2 +
=

Complexity=2, Mode=add

Fill in the blanks.

#ProblemCorrect AnswerYour Answer
14 + (6 + 7) = ( + ) +
#ProblemCorrect AnswerYour Answer
2If (2 + 8) + 9 = 19, then what is 2 + (8 + 9)?

Complexity=3, Mode=add

Fill in the blanks.

#ProblemCorrect AnswerYour Answer
1If (2 + 5) + x = 13, then what is 2 + (5 + x)?
#ProblemCorrect AnswerYour Answer
2Rewrite the expression (3 + b) + 9 using the associative property.

Complexity=4, Mode=add

Fill in the blanks.

#ProblemCorrect AnswerYour Answer
1If 5 + (x + 7) = (5 + 6) + 7, then what is x?
#ProblemCorrect AnswerYour Answer
2Which equation(s) show the associative property?
Select the correct answer(s).
2 + (4 + 6) + 9 = 2 + 4 + (6 + 9)
1 + (2 + 5) + 6 = (1 + 2) + 5 + 6
2 + (3 - 6) = (2 + 3) - 6
(1 + 2) + 6 = 1 + (2 + 6)
none of the above
Solution
Addition number sentences with the same addends on either side of the equation but in a different grouping show the associative property.
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