Math Practice Problems - Distributive Property 2

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Distributive 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=3, Mode=neg-dist

Distribute. Example: 2(x+1) = 2x+2

Complexity=2, Mode=neg-factor

Factor out the greatest common factor. If the first term is negative, factor out a negative number. Example: -3x + 6 => -3(x-2)

Complexity=3, Mode=neg-factor

Factor out the greatest common factor. If the first term is negative, factor out a negative number. Example: -3x + 6 => -3(x-2)

Answers

Complexity=2, Mode=neg-dist

Distribute. Example: 2(x+1) = 2x+2

#	Problem	Correct Answer	Your Answer
1	-(3a - 2) =
Solution Distribute ^-1 across 3a - 2 => -(3a) - ^-1 • 2 ^-1 × 3 = -3 ^-1 × 2 = -2 ^-3a - ^-2 => ^-3a + 2

#	Problem	Correct Answer	Your Answer
2	^-7(2a + 3) =
Solution Distribute ^-7 across 2a + 3 => ^-7(2a) + ^-7 • 3 ^-7 × 2 = -14 ^-7 × 3 = -21 ^-14a + ^-21 => ^-14a - 21

Complexity=3, Mode=neg-dist

Distribute. Example: 2(x+1) = 2x+2

#	Problem	Correct Answer	Your Answer
1	^-2(^-3a + b - 4) =
Solution Distribute ^-2 across ^-3a + b + ^-4 => ^-2(^-3a) + ^-2b + ^-2 • ^-4 ^-2 × ^-3 = 6 ^-2 × ^-4 = 8 6a + ^-2b + 8 => 6a - 2b + 8

#	Problem	Correct Answer	Your Answer
2	^-8(3a + 2b - 3) =
Solution Distribute ^-8 across 3a + 2b + ^-3 => ^-8(3a) + ^-8(2b) + ^-8 • ^-3 ^-8 × 3 = -24 ^-8 × 2 = -16 ^-8 × ^-3 = 24 ^-24a + ^-16b + 24 => ^-24a - 16b + 24

Complexity=2, Mode=neg-factor

Factor out the greatest common factor. If the first term is negative, factor out a negative number. Example: -3x + 6 => -3(x-2)

Complexity=3, Mode=neg-factor

Factor out the greatest common factor. If the first term is negative, factor out a negative number. Example: -3x + 6 => -3(x-2)

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