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# expressions and addition properties

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Question:Which of the following expressions finishes the equation to demonstrate the associative property of addition? (3+8)+5= a.3(8+5) b.(3-8)-5 c.5+(3+8) d.3+(8+5)

Answers:Find the one that regroups using paranthesis. answer: d.3+(8+5)

Question:7 + 4x

Answers:4x + 7

Question:Not sure I understand this math problem... use an associative property to rewrite the algebraic expression. Once grouping has been changed, simplify the resulting algebraic expression 3+(8+x)

Answers:(3+8)+x =11+x "associate" just means who you hang around with. The 8 was hanging around with the x, but using the associative property of addition he is now hanging around with the 3. That's all it is.

Question:write an algebraic expression equivalent to the given expression using each of the commutative properties. 7x-5, 3x-7, 12+(3+x), -10(5x),

Answers:The commutative properties of addition are: a + b = b + a (a + b) + c = c + (b + a) The commutative property of multiplication is: ab = ba By following those properties, we obtain: 1. 7x - 5 = -5 + 7x 2. 3x - 7 = -7 + 3x 3. 12 + (3 + x) = (x + 3) + 12 4. -10(5x) = -(5x)10 I hope this helps!

From Youtube

Algebra: Simplifying Rational Expressions (Part 2): Addition Property :In this video lesson we talk about how to use the addition property to reduce the types of rational expressions you will encounter in Algebra to their simplest form.

Beg Algebra: Addition Property of Equality :www.mindbites.comTaught by Professor Edward Burger, this lesson was selected from a broader, comprehensive course, Beginning Algebra. This course and others are available from Thinkwell, Inc. The full course can be found atwww.thinkwell.com The full course covers linear equations, inequalities, polynomials, rational expressions, relations and functions, roots and radicals, quadratic equations and systems of equations. Edward Burger, Professor of Mathematics at Williams College, earned his Ph.D. at the University of Texas at Austin, having graduated summa cum laude with distinction in mathematics from Connecticut College. He has also taught at UT-Austin and the University of Colorado at Boulder, and he served as a fellow at the University of Waterloo in Canada and at Macquarie University in Australia. Prof. Burger has won many awards, including the 2001 Haimo Award for Distinguished Teaching of Mathematics, the 2004 Chauvenet Prize, and the 2006 Lester R. Ford Award, all from the Mathematical Association of America. In 2006, Reader's Digest named him in the "100 Best of America". Prof. Burger is the author of over 50 articles, videos, and books, including the trade book, Coincidences, Chaos, and All That Math Jazz: Making Light of Weighty Ideas and of the textbook The Heart of Mathematics: An Invitation to Effective Thinking. He also speaks frequently to professional and public audiences, referees professional journals, and publishes articles in leading math journals ...