Question
A student is solving the equation . Which describes a first step the student could use to solve the equation correctly?
Responses
The student can distribute on the right side of the equation, resulting in .
The student can distribute 4 on the right side of the equation, resulting in 8 x + 4 = 16 x − − 20 .
The student can distribute on the right side of the equation, resulting in .
The student can distribute 4 on the right side of the equation, resulting in 8 x + 4 = 48 x − − 64 .
The student can divide both sides of the equation by , resulting in .
The student can divide both sides of the equation by 4 , resulting in 4 x + 1 = 3 x − − 4 .
The student can divide both sides of the equation by , resulting in .
Responses
The student can distribute on the right side of the equation, resulting in .
The student can distribute 4 on the right side of the equation, resulting in 8 x + 4 = 16 x − − 20 .
The student can distribute on the right side of the equation, resulting in .
The student can distribute 4 on the right side of the equation, resulting in 8 x + 4 = 48 x − − 64 .
The student can divide both sides of the equation by , resulting in .
The student can divide both sides of the equation by 4 , resulting in 4 x + 1 = 3 x − − 4 .
The student can divide both sides of the equation by , resulting in .
Answers
GPT-4o mini
It looks like there might be some missing or incomplete information in your question. However, I can provide some general steps a student might take to solve an equation, especially if it involves distribution or division.
1. **Distributing a term:** If the equation includes a term that needs to be distributed (like a number multiplied by a binomial), one way to start solving it would be to distribute that term. For instance, if the equation is \( 4(x + 1) = 16 \), the student would distribute the 4 to get \( 4x + 4 = 16 \).
2. **Dividing both sides:** If the equation can be simplified by dividing both sides by a common factor, this could be another effective first step. For instance, if the equation is \( 8x + 4 = 16 \), the student could divide everything by 4 to simplify it to \( 2x + 1 = 4 \).
If you provide the specific equation or context, I would be more than happy to provide a precise first step for solving it!
1. **Distributing a term:** If the equation includes a term that needs to be distributed (like a number multiplied by a binomial), one way to start solving it would be to distribute that term. For instance, if the equation is \( 4(x + 1) = 16 \), the student would distribute the 4 to get \( 4x + 4 = 16 \).
2. **Dividing both sides:** If the equation can be simplified by dividing both sides by a common factor, this could be another effective first step. For instance, if the equation is \( 8x + 4 = 16 \), the student could divide everything by 4 to simplify it to \( 2x + 1 = 4 \).
If you provide the specific equation or context, I would be more than happy to provide a precise first step for solving it!