Math Problem Statement

-1/2x x 2

Solution

Let’s solve the expression:

12x×2-\frac{1}{2}x \times 2

Step-by-step solution:

  1. Rewrite the expression to group constants: (12×2)×x\left(-\frac{1}{2} \times 2\right) \times x

  2. Simplify 12×2-\frac{1}{2} \times 2: 1-1

  3. Now multiply by xx: 1×x=x-1 \times x = -x

Final Answer:

12x×2=x-\frac{1}{2}x \times 2 = -x

Would you like a more detailed explanation?


5 Related Questions:

  1. How do you multiply fractions with variables?
  2. What happens when you multiply by negative numbers?
  3. How do you simplify algebraic expressions?
  4. How does the distributive property affect multiplication of fractions?
  5. What’s the difference between multiplying and dividing fractions?

Tip: Always group numbers and variables separately when simplifying algebraic expressions.

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Math Problem Analysis

Mathematical Concepts

Algebra
Multiplication of Fractions
Simplification

Formulas

a × b = c
Fraction Multiplication Rule: (a/b) × c = (a × c)/b

Theorems

Associative Property of Multiplication
Simplification of Expressions

Suitable Grade Level

Grades 6-8