High School

Which of the following expressions is equal to [tex]-3 \times 2 - 2 \div 7 - 3x^2 - 27[/tex]?

1. [tex](-3 \times -3) \div (2 \times 7) - 3x^2 - 27[/tex]
2. [tex](-3 \times 3) \div (2 \times 7) - 3x^2 - 27[/tex]

Answer :

Expressions which is equal to - 3 × 2 - 2 ÷ 7 -3x² -27 is (-3 * 3) / (2 * 7) - [tex]3x^2[/tex] - 27. Therefore, option 2 is the correct answer.

The given expression is:[tex]-3 * 2 - 2 / 7 - 3x^2 - 27[/tex]

The correct equivalent expression is: (-3 * 3) / (2 * 7) - 3x^2 - 27

-3 * 2 is -6.

2 / 7 remains the same.

[tex]-3x^2[/tex] remains the same.

-27 remains the same.

Combine these simplified terms to get the correct equivalent expression:

[tex]-6 - 2 / 7 - 3x^2 - 27[/tex]

Expressed with common denominators:

[tex]-44 / 7 - 3x^2 - 27[/tex]

The correct equivalent expression is obtained by combining these terms:

[tex](-3 * 3) / (2 * 7) - 3x^2 - 27[/tex]

Therefore, option 2 is the correct answer.