Combine like terms: 10 - 3 + 4x - 2x.

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

Multiple Choice

Combine like terms: 10 - 3 + 4x - 2x.

Explanation:
To combine like terms in the expression \(10 - 3 + 4x - 2x\), start by separating the constant terms from the variable terms. 1. **Identify the constant terms:** In this case, the constant terms are \(10\) and \(-3\). When you combine these, you perform the operation \(10 - 3\), which equals \(7\). 2. **Identify the variable terms:** Here, the variable terms are \(4x\) and \(-2x\). To combine these, you perform the operation \(4x - 2x\), which simplifies to \(2x\). Now, putting both results together gives you the simplified expression: \(7 + 2x\). Therefore, this matches the choice that states \(7 + 2x\), confirming that this is the correct combination of like terms. The focus is on organizing and performing basic arithmetic operations effectively.

To combine like terms in the expression (10 - 3 + 4x - 2x), start by separating the constant terms from the variable terms.

  1. Identify the constant terms: In this case, the constant terms are (10) and (-3). When you combine these, you perform the operation (10 - 3), which equals (7).
  1. Identify the variable terms: Here, the variable terms are (4x) and (-2x). To combine these, you perform the operation (4x - 2x), which simplifies to (2x).

Now, putting both results together gives you the simplified expression: (7 + 2x).

Therefore, this matches the choice that states (7 + 2x), confirming that this is the correct combination of like terms. The focus is on organizing and performing basic arithmetic operations effectively.

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