Question

Consider the algebraic expression: 5 + 3x - 1 + 4x. Use algebra tiles to collect like terms. What is the simplified expression?

A) x + 4
B) 7x + 6
C) 7x + 4
D) 3x + 4 + 4x

Answer 1

To collect like terms in the expression 5 + 3x - 1 + 4x, combine the terms with the same variable. The simplified expression is 7x + 4.

Step-by-step explanation:

To collect like terms in the expression 5 + 3x - 1 + 4x, we combine the terms with the same variable. The like terms in this expression are 3x and 4x. When we add these terms together, we get 7x. So the simplified expression is 5 - 1 + 7x. Simplifying further, we have 4 + 7x, which can be written as 7x + 4. Therefore, the correct answer is C) 7x + 4.