In the equation:

4x−1=3−10x
Match each mathematical component with an example.

(1 point)
Put responses in the correct input to answer the question. Select a response, navigate to the desired input and insert the response. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can also be moved by dragging with a mouse.
expression
Question 2
(1 point)
Put responses in the correct input to answer the question. Select a response, navigate to the desired input and insert the response. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can also be moved by dragging with a mouse.
constant
Question 3
(1 point)
Put responses in the correct input to answer the question. Select a response, navigate to the desired input and insert the response. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can also be moved by dragging with a mouse.
coefficient
Question 4
(1 point)
Put responses in the correct input to answer the question. Select a response, navigate to the desired input and insert the response. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can also be moved by dragging with a mouse.
variable
Question 5
(1 point)
Put responses in the correct input to answer the question. Select a response, navigate to the desired input and insert the response. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can also be moved by dragging with a mouse.
term

1 answer

To match each mathematical component with an example from the equation \(4x - 1 = 3 - 10x\), we can identify the following components:

  1. Expression: \(4x - 1\) or \(3 - 10x\) (an overall mathematical statement that combines variables, numbers, and operations).
  2. Constant: \(-1\) or \(3\) (a number without a variable).
  3. Coefficient: \(4\) (the number in front of the variable \(x\) in \(4x\)) or \(-10\) (the number in front of the variable \(x\) in \(-10x\)).
  4. Variable: \(x\) (the symbol that represents an unknown value).
  5. Term: \(4x\), \(-1\), \(3\), or \(-10x\) (a single unit in the expression which can be a number, a variable, or the product of both).

Final matches:

  • Expression: \(4x - 1\) or \(3 - 10x\).
  • Constant: \(-1\) or \(3\).
  • Coefficient: \(4\) or \(-10\).
  • Variable: \(x\).
  • Term: \(4x\), \(-1\), \(3\), or \(-10x\).

You can select these corresponding matches for each question.