Math Problem Statement

Simplify the following algebraic expressions: 3(x - 4) + 2x, -7x + 2y + x - 4, -11y^2 + 2y - 7, 5(w - 2) - 8(8 - w), -a + 8a - 25b - b, 5(y - 3) + 2y - 10y

Solution

The image contains a set of algebraic expressions that need to be simplified. The instruction asks to classify each problem according to the process used to simplify:

(A) Distributive Property
(B) Combining like terms only
(C) Distribute and Combine like terms
(D) No simplification possible

Here are the problems listed:

  1. 3(x4)+2x3(x - 4) + 2x
  2. 7x+2y+x4-7x + 2y + x - 4
  3. 11y2+2y7-11y^2 + 2y - 7
  4. 5(w2)8(8w)5(w - 2) - 8(8 - w)
  5. a+8a25bb-a + 8a - 25b - b
  6. 5(y3)+2y10y5(y - 3) + 2y - 10y

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Math Problem Analysis

Mathematical Concepts

Algebra
Simplification
Distributive Property
Combining like terms

Formulas

Distributive Property: a(b + c) = ab + ac
Combining Like Terms: ax + bx = (a + b)x

Theorems

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Suitable Grade Level

Grades 6-8