Question

Write the following phrase as an algebraic expression and simplify as possible. Let x represent the unknown number. The sum of 6 times a number and 13, added to 4 times a number.

(A) 6x + 13 + 4x
(B) 10x + 13
(C) 24x + 13
(D) 10x + 4

Answer 1

The algebraic expression for 'The sum of 6 times a number and 13, added to 4 times a number' using x as the unknown number is '6x + 13 + 4x', which simplifies to '10x + 13'.

Step-by-step explanation:

The phrase 'The sum of 6 times a number and 13, added to 4 times a number' can be represented as an algebraic expression using the variable x for the unknown number. To write this expression, you will multiply 6 by x, add 13, and then add 4 times x to that sum. The algebraic expression is 6x + 13 + 4x.

Next, you'll want to simplify the algebraic expression by combining like terms. The terms 6x and 4x are like terms because they both contain the variable x to the same power. You can combine them by adding their coefficients:

1. 6x + 4x = 10x

So, 6x + 13 + 4x simplifies to 10x + 13. Therefore, the simplified algebraic expression is 10x + 13, which corresponds to option (B).