s8910715
Answered

Find the best solutions to your questions at Westonci.ca, the premier Q&A platform with a community of knowledgeable experts. Join our platform to get reliable answers to your questions from a knowledgeable community of experts. Explore comprehensive solutions to your questions from a wide range of professionals on our user-friendly platform.

Write an expression having only two terms that is equivalent to 2x – 3. Explain how you wrote the expression and how you can check that it is equivalent.

Sagot :

semsee45

Answer:

The expression has a variable with a coefficient (constant) and a constant. Therefore, to create a new expression with 2 terms, take out a constant and use parentheses:

The most obvious number to take out is either 2 or 3 since those are the constants in the expression:

Taking out the constant 3:

[tex]2x-3= 3\left(\dfrac23x-1\right)[/tex]

or taking out the constant 2:

[tex]2x-3= 2\left(x-\dfrac32\right)[/tex]

However, you can choose to take out any value, as long as it's a number and not a variable:

[tex]2x-3= \dfrac12\left(4x-6\right)[/tex]

[tex]2x-3= \dfrac14\left(8x-12\right)[/tex]

To check that it is equivalent, expand the brackets.
An equivalent expression would be for example:
3 ((2/3) x - 1).
In order to write it, what is done is that the common factor is taken out three of the expression.
To check which is the same expression, you can multiply three to both terms of the equation:
3 ((2/3) x - 1) = (3 * (2/3) x - 3 * 1) = ((6/3) x - 3) = (2x - 3).
Thanks for stopping by. We strive to provide the best answers for all your questions. See you again soon. We hope you found this helpful. Feel free to come back anytime for more accurate answers and updated information. Westonci.ca is committed to providing accurate answers. Come back soon for more trustworthy information.