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## Distributive Property - 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=2, Mode=pos-dist

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

 1.   2(3a - 3) = 2.   7(2a - 1) =

### Complexity=3, Mode=pos-dist

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

 1.   5(3a + 3b + 4) = 2.   7(a + 2b + 2) =

### Complexity=2, Mode=pos-factor

Factor out the greatest common factor. Example: 3x + 6 => 3(x+2)

 1.   12a + 12 = 2.   21a - 28 =

### Complexity=3, Mode=pos-factor

Factor out the greatest common factor. Example: 3x + 6 => 3(x+2)

 1.   3a - 9b - 9 = 2.   12a - 4b - 16 =

## Answers

### Complexity=2, Mode=pos-dist

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

#ProblemCorrect AnswerYour Answer
12(3a - 3) =
Solution
Distribute 2 across 3a - 3 => 2(3a) - 2 • 3
2 × 3 = 6
2 × 3 = 6
#ProblemCorrect AnswerYour Answer
27(2a - 1) =
Solution
Distribute 7 across 2a - 1 => 7(2a) - 7 • 1
7 × 2 = 14
7 × 1 = 7

### Complexity=3, Mode=pos-dist

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

#ProblemCorrect AnswerYour Answer
15(3a + 3b + 4) =
Solution
Distribute 5 across 3a + 3b + 4 => 5(3a) + 5(3b) + 5 • 4
5 × 3 = 15
5 × 3 = 15
5 × 4 = 20
#ProblemCorrect AnswerYour Answer
27(a + 2b + 2) =
Solution
Distribute 7 across a + 2b + 2 => 7a + 7(2b) + 7 • 2
7 × 2 = 14
7 × 2 = 14

### Complexity=2, Mode=pos-factor

Factor out the greatest common factor. Example: 3x + 6 => 3(x+2)

#ProblemCorrect AnswerYour Answer
112a + 12 =
#ProblemCorrect AnswerYour Answer
221a - 28 =

### Complexity=3, Mode=pos-factor

Factor out the greatest common factor. Example: 3x + 6 => 3(x+2)

#ProblemCorrect AnswerYour Answer
13a - 9b - 9 =
#ProblemCorrect AnswerYour Answer
212a - 4b - 16 =
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