True or False: The expression 3x - 6 + 2x + 5 can be simplified.

Master Algebraic Simplification by combining like terms effectively. Study with engaging quizzes, detailed explanations, and various question formats. Ace your exam!

Multiple Choice

True or False: The expression 3x - 6 + 2x + 5 can be simplified.

Explanation:
The statement is true because the expression 3x - 6 + 2x + 5 can indeed be simplified by combining like terms. In algebra, like terms are terms that contain the same variable raised to the same power. In the expression provided, we have two types of like terms: the terms with 'x' (which are 3x and 2x) and the constant terms (which are -6 and +5). To simplify the expression: 1. Combine the 'x' terms: 3x + 2x equals 5x. 2. Combine the constant terms: -6 + 5 equals -1. After combining these like terms, the expression simplifies to 5x - 1. This process of combining like terms shows that the original expression can indeed be simplified, confirming that the answer is true.

The statement is true because the expression 3x - 6 + 2x + 5 can indeed be simplified by combining like terms. In algebra, like terms are terms that contain the same variable raised to the same power.

In the expression provided, we have two types of like terms: the terms with 'x' (which are 3x and 2x) and the constant terms (which are -6 and +5).

To simplify the expression:

  1. Combine the 'x' terms: 3x + 2x equals 5x.

  2. Combine the constant terms: -6 + 5 equals -1.

After combining these like terms, the expression simplifies to 5x - 1.

This process of combining like terms shows that the original expression can indeed be simplified, confirming that the answer is true.

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