Math Practice Problems - Order Of Operations

Order Of Operations - 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=5, Mode=addmult

Perform the following operations

#	Problem	Correct Answer	Your Answer
1	^-1 + ^-1 × ^-2
Solution Multiplication and division must be done before addition and subtraction. ^-1 × ^-2 = 2 ^-1 + 2 = 1

#	Problem	Correct Answer	Your Answer
2	2 × ^-2 + 4
Solution Multiplication and division must be done before addition and subtraction. 2 × ^-2 = -4 ^-4 + 4 = 0

Complexity=7, Mode=addmult

Perform the following operations

#	Problem	Correct Answer	Your Answer
1	7 + 7 × ^-3
Solution Multiplication and division must be done before addition and subtraction. 7 × ^-3 = -21 7 + ^-21 = ^-14

#	Problem	Correct Answer	Your Answer
2	6 × ^-7 + 3
Solution Multiplication and division must be done before addition and subtraction. 6 × ^-7 = -42 ^-42 + 3 = ^-39

Complexity=7, Mode=subdiv

Perform the following operations

#	Problem	Correct Answer	Your Answer
1	35 ÷ ^-7 - 6
Solution Multiplication and division must be done before addition and subtraction. ^-35/₇ => -5 ^-5 - 6 = ^-11

#	Problem	Correct Answer	Your Answer
2	7 + ^-7 × 5
Solution Multiplication and division must be done before addition and subtraction. ^-7 × 5 = -35 7 + ^-35 = ^-28

Complexity=9, Mode=subdiv

Perform the following operations

#	Problem	Correct Answer	Your Answer
1	6 + 7 × ^-6
Solution Multiplication and division must be done before addition and subtraction. 7 × ^-6 = -42 6 + ^-42 = ^-36

#	Problem	Correct Answer	Your Answer
2	^-9 + ^-16 ÷ ^-8
Solution Multiplication and division must be done before addition and subtraction. ¹⁶/₈ => 2 ^-9 + 2 = ^-7

Complexity=10, Mode=subdiv

Perform the following operations

#	Problem	Correct Answer	Your Answer
1	^-8 × 10 - ^-1
Solution Multiplication and division must be done before addition and subtraction. ^-8 × 10 = -80 ^-80 - ^-1 = ^-79

#	Problem	Correct Answer	Your Answer
2	^-6 - ^-6 ÷ ^-6
Solution Multiplication and division must be done before addition and subtraction. ⁶/₆ => 1 ^-6 - 1 = ^-7

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