Which phrase describes the algebraic expression \( \frac{3}{4} x+2 \) ? three-fourths of a number plus two the quotient of four-thirds and two the product of three-fourths and two the difference between three-fourths of a number and two
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The algebraic expression \( \frac{3}{4} x + 2 \) can be described as "three-fourths of a number plus two." This means you're taking three-fourths of some variable \( x \) and then adding 2 to it. It's a straightforward way to represent a relationship where an unknown is scaled and then increased. It's common to confuse terms in algebra, so be sure to carefully analyze each part of the expression. For instance, while "the product of three-fourths and two" sounds tempting, it suggests multiplication rather than the addition you see in \( \frac{3}{4} x + 2 \). Always double-check to ensure you’re capturing the right operations!