1) The sum of \( x \) and 2 \( \qquad \) 2) \( \quad \) d divided by 8 \( \qquad \) 3) The product of 9 and \( m \) \( \qquad \) 4) Subtract 5 from c \( \qquad \) 5) Combine \( y \) and 7 \( \qquad \) 6) Three-sevenths of \( h \) \( \qquad \) 7) 3 multiplied by d \( \qquad \) 8) One-quarter added to \( n \) \( \qquad \) 9) b decreased by 10 \( \qquad \) 10) One-half of \( k \) \( \qquad \)

Understanding expressions like these is foundational for mastering algebra and problem-solving in various scenarios. These expressions represent mathematical operations translated into words, where each phrase corresponds to a specific calculation. Learning to identify and translate between different formats helps demystify algebra and empowers you to tackle real-life problems, such as budgeting or calculating distances! Many students struggle with translating word problems back into algebraic expressions, often getting tripped up by the language used. A common mistake is misinterpreting phrases like "the sum of" for "the product of," leading to incorrect solutions. To avoid this, try breaking the problem down into smaller parts and sketching out what each operation means—this makes it easier to visualize and correctly express the relationships between the variables involved!