Question

Hayley begins solving this problem by combining like terms.

3x + 5x = 10

Which problem begins the same way?
A) 5x = 20
B) 2(x + 5) = 20
C)
x
4
= 30
D) 4x − 2x = 10

Answer 1

4x - 2x = 10

Explanation:

Option D has 2 numbers that have the same variables, therefore they are like terms.

Option C (4x=30) is not correct because it has no like terms.

Option B is not correct because we need to distribute the 2 into the x and 5 (apply distributive property) as our first step to solving this problem.

Option A, like option C, does not have any like terms.

I hope this helps.

Answer 2

The correct answer is option D) 4x − 2x = 10.

Explanation:

This problem contains two terms that include x, and a term after the equal sign.

The option that most closely resembles this equation is option D, which also has two terms with x, and a term after the equal sign.

Option A only contains a term with incognita.

Option B, if we solve the parenthesis would be as follows: 2x + 10 = 20.

From what we see it also does not resemble the original equation.

With option C the same thing happens as with option A.

Therefore, we can say that the best option is option D.