Question

Write the algebraic expression for "The sum of 6 times a number and 13, added to 4 times a number."

a) 6x + 13 + 4x
b) 6x - 13 + 4x
c) 6x + 13 - 4x
d) 6x - 13 - 4x

Answer 1

The algebraic expression for the given statement is 6x + 13 + 4x, which simplifies to 10x + 13.

Step-by-step explanation:

The algebraic expression for "The sum of 6 times a number and 13, added to 4 times a number" can be broken down as follows:

• '6 times a number' is represented as 6x.
• 'The sum of 6 times a number and 13' is represented as 6x + 13.
• 'Added to 4 times a number' means you add 4x to the previous sum.
• Therefore, the entire expression is 6x + 13 + 4x.

When we combine like terms (6x and 4x), we end up with:

10x + 13, which is equivalent to the original expression given the associative property of addition (A+B = B+A).