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Associative Property 2 - 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=mul

Fill in the blanks.

1.  
(6 × 8) × 5 = 6 × (8 × 5)
× 5 = 6 ×
=
2.  
(7 × 9) × 5 = 7 × (9 × 5)
× 5 = 7 ×
=

Complexity=2, Mode=mul

Fill in the blanks. Type either * or x for the multiplication sign.

1.   If (2 × 3) × 5 = 30, then what is 2 × (3 × 5)?
2.   Rewrite the expression (3 × 5) × 6 using the associative property.

Complexity=3, Mode=mul

Fill in the blanks. Type either * or x for the multiplication sign.

1.   Rewrite the expression 2 × (a × 7) using the associative property.
2.   5 × (z × 9) = ( × ) ×

Complexity=4, Mode=mul

Fill in the blanks.

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

Answers

Complexity=1, Mode=mul

Fill in the blanks.

#Correct AnswerYour Answer
1
(6 × 8) × 5 = 6 × (8 × 5)
× 5 = 6 ×
=
#Correct AnswerYour Answer
2
(7 × 9) × 5 = 7 × (9 × 5)
× 5 = 7 ×
=

Complexity=2, Mode=mul

Fill in the blanks. Type either * or x for the multiplication sign.

#ProblemCorrect AnswerYour Answer
1If (2 × 3) × 5 = 30, then what is 2 × (3 × 5)?
#ProblemCorrect AnswerYour Answer
2Rewrite the expression (3 × 5) × 6 using the associative property.

Complexity=3, Mode=mul

Fill in the blanks. Type either * or x for the multiplication sign.

#ProblemCorrect AnswerYour Answer
1Rewrite the expression 2 × (a × 7) using the associative property.
#ProblemCorrect AnswerYour Answer
25 × (z × 9) = ( × ) ×

Complexity=4, Mode=mul

Fill in the blanks.

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