Question
Which one shows an expression? \( 2 a+3 b=24 \) \( 2+3 y \) \( 12+7 \times 5=47 \)
Ask by Pope Pope. in the United States
Feb 20,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
2 + 3y is an expression.
Solution
An expression is a combination of numbers, variables, and operators (like +, -, ×, ÷) that represents a value and does not include an equals sign.
• 2a + 3b = 24 is an equation because it has an equal sign relating two expressions.
• 12 + 7 × 5 = 47 is also an equation because it uses an equals sign to state a condition.
• 2 + 3y is an expression since it is simply a combination of a number and a term with a variable without an equals sign.
So, the expression is 2 + 3y.
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Simplify this solution Bonus Knowledge
The expression \( 2 + 3y \) displays a typical algebraic form that combines constants and variables, representing a relationship rather than an equation. It showcases how different values of \( y \) will yield varying results, making it a cornerstone of algebraic manipulation and equation solving. On the other hand, \( 12 + 7 \times 5 = 47 \) actually represents an equation, as it includes an equality sign, indicating a relationship between the left-hand side and the right-hand side that must hold true. It’s crucial to remember that expressions lack the equality aspect, while equations explicitly state that two sides are equal.
