Math Problem Statement

Which expression is equivalent to 10, d, plus, d, minus, 2, d10d+d−2d?

Solution

To simplify the expression 10d+d2d10d + d - 2d, let's combine like terms.

  1. Combine the dd-terms: 10d+d2d=(10+12)d10d + d - 2d = (10 + 1 - 2)d Simplifying inside the parentheses: 10+12=910 + 1 - 2 = 9

  2. The simplified expression: 9d9d

So, the expression equivalent to 10d+d2d10d + d - 2d is 9d9d.

Do you have any questions or want more details? Here are 5 related questions:

  1. How do you combine like terms in algebraic expressions?
  2. What are the rules for adding and subtracting coefficients of variables?
  3. How do you simplify an expression with multiple variables?
  4. Can you provide an example of simplifying an expression with more than one type of variable?
  5. How do you distribute variables in an expression?

Tip: Always combine like terms by adding or subtracting their coefficients to simplify expressions efficiently.

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Math Problem Analysis

Mathematical Concepts

Algebra
Combining Like Terms
Simplification

Formulas

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

Theorems

None specifically, but basic principles of algebra and simplifying expressions

Suitable Grade Level

Grades 6-8