Basic algebra UNIT 1: Algebraic expressions Question 1 Write an expression for each of the following. a The sum of \( 5 x \) and \( 6 y= \) b 15 less than \( m= \) c The double of \( 3 a= \) d The difference between \( a \) and \( b= \) e Two-thirds of \( y= \)

For (a), the sum of \( 5x \) and \( 6y \) can be expressed as \( 5x + 6y \). For (b), to express 15 less than \( m \), you would write \( m - 15 \). For (c), the double of \( 3a \) is represented as \( 2 \times 3a \) or simply \( 6a \). For (d), the difference between \( a \) and \( b \) translates to \( a - b \). Lastly, for (e), two-thirds of \( y \) is shown as \( \frac{2}{3}y \). Understanding how to write these expressions sets the foundation for solving equations and inequalities later on! In algebra, these expressions form an integral part of mathematical communication. You can think of them as short, coded notes that tell you quantities and relationships between them—no secret decoder ring needed!