Question
An equation is shown below.
2(x + 9.1) = 2.8x + 1.48
Which of the following statements describes a step that can be used to find the value of x? (choose 2)
Responses
A Add like terms on the right side of the equation.Add like terms on the right side of the equation.
B Subtract 9.1 from both sides of the equation.Subtract 9.1 from both sides of the equation.
C Multiply both sides of the equation by 2.Multiply both sides of the equation by 2.
D Subtract 1.48 from both sides of the equation. Subtract 1.48 from both sides of the equation.
E Use the distributive property to expand the left side of equation.Use the distributive property to expand the left side of equation.
2(x + 9.1) = 2.8x + 1.48
Which of the following statements describes a step that can be used to find the value of x? (choose 2)
Responses
A Add like terms on the right side of the equation.Add like terms on the right side of the equation.
B Subtract 9.1 from both sides of the equation.Subtract 9.1 from both sides of the equation.
C Multiply both sides of the equation by 2.Multiply both sides of the equation by 2.
D Subtract 1.48 from both sides of the equation. Subtract 1.48 from both sides of the equation.
E Use the distributive property to expand the left side of equation.Use the distributive property to expand the left side of equation.
Answers
GPT-4o mini
To solve the equation \( 2(x + 9.1) = 2.8x + 1.48 \), we need to manipulate the equation step-by-step. The two statements that describe valid steps to find the value of \( x \) are:
**E**: Use the distributive property to expand the left side of the equation.
This step involves distributing the 2 on the left side, giving us \( 2x + 18.2 = 2.8x + 1.48 \).
**D**: Subtract 1.48 from both sides of the equation.
After expanding, you would typically want to isolate \( x \), and this step helps in doing that.
So, the correct responses are **D** and **E**.
**E**: Use the distributive property to expand the left side of the equation.
This step involves distributing the 2 on the left side, giving us \( 2x + 18.2 = 2.8x + 1.48 \).
**D**: Subtract 1.48 from both sides of the equation.
After expanding, you would typically want to isolate \( x \), and this step helps in doing that.
So, the correct responses are **D** and **E**.