Math Problem Statement

simplify the expression

4x − 2y − x + 5y − 2x

Solution

To simplify the expression:

4x2yx+5y2x4x - 2y - x + 5y - 2x

Step 1: Combine like terms for xx and yy.

  • The terms with xx are: 4xx2x=(412)x=1x=x4x - x - 2x = (4 - 1 - 2)x = 1x = x.
  • The terms with yy are: 2y+5y=(52)y=3y-2y + 5y = (5 - 2)y = 3y.

Final simplified expression:

x+3yx + 3y

Would you like further clarification or have any questions?

Here are some related questions for practice:

  1. Simplify the expression 6a+3b2a+7ba6a + 3b - 2a + 7b - a.
  2. Combine like terms in the expression 10p4q+2p+q3p10p - 4q + 2p + q - 3p.
  3. Simplify: 5x+2y3x+4yx+y5x + 2y - 3x + 4y - x + y.
  4. Simplify the expression 7m5n+3m+n7m - 5n + 3m + n.
  5. How do you simplify 8k2k+4jj8k - 2k + 4j - j?

Tip: When simplifying expressions, always group like terms (same variables raised to the same power) together before combining them.

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Math Problem Analysis

Mathematical Concepts

Algebra
Simplifying Expressions
Combining Like Terms

Formulas

Combining like terms: ax + bx = (a + b)x

Theorems

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Suitable Grade Level

Grades 6-8