Math Software Online: MathScore.com
 

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.

Learn more about our online math practice software.
See some of our other supported math practice problems.


Complexity=2, Mode=pos-dist

Distribute. Example: 2(x+1) = 2x+2
1.   4(2a - 1) =
2.   7(a + 2) =

Complexity=3, Mode=pos-dist

Distribute. Example: 2(x+1) = 2x+2
1.   1(a + b + 2) =
2.   3(a - b - 4) =

Complexity=2, Mode=pos-factor

Factor out the greatest common factor. Example: 3x + 6 => 3(x+2)
1.   10a + 10 =
2.   9a + 27 =

Complexity=3, Mode=pos-factor

Factor out the greatest common factor. Example: 3x + 6 => 3(x+2)
1.   27a - 27b - 45 =
2.   2a - 2b - 6 =

Answers


Complexity=2, Mode=pos-dist

Distribute. Example: 2(x+1) = 2x+2
#ProblemCorrect AnswerYour Answer
14(2a - 1) =
Solution
Distribute 4 across 2a - 1 => 4(2a) - 4 × 1
4 × 2 = 8
4 × 1 = 4
#ProblemCorrect AnswerYour Answer
27(a + 2) =
Solution
Distribute 7 across a + 2 => 7a + 7 × 2
7 × 2 = 14

Complexity=3, Mode=pos-dist

Distribute. Example: 2(x+1) = 2x+2
#ProblemCorrect AnswerYour Answer
11(a + b + 2) =
#ProblemCorrect AnswerYour Answer
23(a - b - 4) =
Solution
Distribute 3 across a - b - 4 => 3a - 3b - 3 × 4
3 × 4 = 12

Complexity=2, Mode=pos-factor

Factor out the greatest common factor. Example: 3x + 6 => 3(x+2)
#ProblemCorrect AnswerYour Answer
110a + 10 =
#ProblemCorrect AnswerYour Answer
29a + 27 =

Complexity=3, Mode=pos-factor

Factor out the greatest common factor. Example: 3x + 6 => 3(x+2)
#ProblemCorrect AnswerYour Answer
127a - 27b - 45 =
#ProblemCorrect AnswerYour Answer
22a - 2b - 6 =
Learn more about our online math practice software.

"MathScore works."
- John Cradler, Educational Technology Expert
© Copyright 2010 Accurate Learning Systems Corp. All rights reserved.