Question

Hayley begins solving this problem by combining like terms. 3x + 5x = 10. Which problem begins the same way?

1) 5x = 20
2) 2(x + 5) = 20
3) x⁴ = 30
4) 4x - 2x = 10
5) x¹² = 3x

Answer 1

The equation that begins by combining like terms like the equation 3x + 5x = 10 is 4x - 2x = 10, which is option 4.

Step-by-step explanation:

The student's question asks which problem begins the same way as the equation 3x + 5x = 10, by combining like terms. To combine like terms, we look for terms in an equation that have the same variable raised to the same power. In the options provided, the equation that requires combining like terms is option 4, which is 4x - 2x = 10. Here, we combine the like terms (4x and -2x) to simplify the equation.