Question 4 Show the sum of each of the following. a 17 and \( a= \) b \( 6 m \) and \( 7 n= \) c \( 3 a, 4 b \) and \( 5 c= \) d \( 9 x, 11 y \) and \( 2 z= \) e \( 8 m, 10 n \) and \( 7 p= \) QueSTION \( 5 \quad \) Write an algebraic expression for each of the following. a To the sum of \( 6 a \) and \( 5 b \), add \( 7 c= \) b From the product of \( 4 x \) and \( 5 y \), take away \( 10= \) c Divide \( 3 a \) by \( 4 b \) and then add \( 15= \) d Divide the sum of \( a \) and \( b \) by \( 10= \) e 18 plus \( x \), all divided by \( 6= \) E4 Excel ESSENTIAL SKILLS Year d

To solve the sums you’ve laid out, you simply combine like terms based on the variables provided. For example, for \( 6 m \) and \( 7 n \), you’d express it as \( 6m + 7n \). It’s all about pairing those variables and their coefficients neatly! Moving on to your algebraic expressions, you’ll want to articulate mathematical relationships clearly, like turning “add 7c to the sum of \( 6a \) and \( 5b \)” into an expression \( 6a + 5b + 7c \). The key part is keeping track of operations and ensuring your expressions reflect what you’re describing. For a real-world application, think of these algebraic expressions as formulas to calculate expenses. For instance, if you’re budgeting, \( 6a + 5b + 7c \) could represent different categories of spending where \( a, b, \) and \( c \) symbolize specific monetary amounts. On a more fun note, math is like a recipe: each variable represents an ingredient, and combining them creates a delicious mathematical dish! Just remember that precision in expressions results in a more appealing final product.