Evaluate the following. 3 a + 2 + 5 a + 7

Given, 3 a + 2 + 5 a + 7 To add algebraic expressions using column (vertical) method, we can use the following steps: Step 1 : The expressions are arranged vertically with the like terms in the same columns. Step 2 : The signs of all terms of the subtrahend are changed (from ‘+’ to ‘-’ or from ‘-’ to ‘+’). Step 3 : Add the like terms to arrive at the difference of expressions. 3 a + 2 + 5 a + 7 8 a + 9 Hence, the required answer is 8 a + 9 .

Evaluate the following. 2 b + 3 c + 4 b - 2 c

Given, 2 b + 3 c + 4 b - 2 c To add algebraic expressions using column (vertical) method, we can use the following steps: Step 1 : The expressions are arranged vertically with the like terms in the same columns. Step 2 : The signs of all terms of the subtrahend are changed (from ‘+’ to ‘-’ or from ‘-’ to ‘+’). Step 3 : Add the like terms to arrive at the difference of expressions. 2 b + 3 c + 4 b - 2 c 6 b + c Hence, the required answer is 6 b + c .

Evaluate the following. - 4 d - 7 e + - 6 d + e

Given, - 4 d - 7 e + - 6 d + e To add algebraic expressions using column (vertical) method, we can use the following steps: Step 1 : The expressions are arranged vertically with the like terms in the same columns. Step 2 : The signs of all terms of the subtrahend are changed (from ‘+’ to ‘-’ or from ‘-’ to ‘+’). Step 3 : Add the like terms to arrive at the difference of expressions. - 4 d - 7 e + - 6 d + e - 10 d - 6 e Hence, the required answer is - 10 d - 6 e .

Evaluate the following. 4 f - 5 - 3 f + 6

Given, 4 f - 5 - 3 f + 6 To subtract algebraic expressions using column (vertical) method, we can use the following steps: Step 1 : The expressions are arranged vertically with the like terms in the same columns. Step 2 : The signs of all terms of the subtrahend are changed (from ‘+’ to ‘-’ or from ‘-’ to ‘+’). Step 3 : Add the like terms to arrive at the difference of expressions. 4 f - 5 - 3 f + 6 f + 1 Hence, the required answer is f + 1 .

Evaluate the following. - 7 x + 6 y - 2 x - 3 y

Given, - 7 x + 6 y - 2 x - 3 y To subtract algebraic expressions using column (vertical) method, we can use the following steps: Step 1 : The expressions are arranged vertically with the like terms in the same columns. Step 2 : The signs of all terms of the subtrahend are changed (from ‘+’ to ‘-’ or from ‘-’ to ‘+’). Step 3 : Add the like terms to arrive at the difference of expressions. - 7 x + 6 y - 2 x - 3 y - 5 x + 3 y Hence, the required answer is - 5 x + 3 y .