Expressions – Simplifying Expressions

1. Question

Which expression is equivalent to the expression \(4x+6(x-3)\)?

\(10x-18\)
\(10x-9\)
\(10x-3\)
\(10x+3\)

2. Question

Which expression is equivalent to the expression \(2g+3(-g-2)\)?

\(-g-6\)
\(-g+1\)
\(-g+6\)
\(5g-6\)

3. Question

Which expression is equivalent to the expression \(2a+3b+4c-(5b+2a-3c)\)?

\(-3a+b+7c\)
\(-2b+c\)
\(-2b+7c\)
\(4a-2b+7c\)

4. Question

Which expression is equivalent to the expression \(6a+7b-8a-(4b+4a-3b)\)?

\(6a-6b\)
\(6b-6a\)
\(-2a+6b\)
\(-2a\)

5. Question

Which expression is equivalent to the expression \(2b^2+3b(-b-2)\)?

\(-b^2-6b\)
\(-b^2-5b\)
\(-b^2-6\)
\(b^2-6b\)

6. Question

Which expression is equivalent to the expression \(4f^2+3f-(f^2+f-2)\)?

\(3f^2+2f-2\)
\(3f^2+2f+2\)
\(5f^2+2f-2\)
\(5f^2+2f+2\)

7. Question

Which expression is equivalent to the expression \(3x^2+5x-(x^2+3x-2)\)?

\(2x^2-2x+2\)
\(2x^2+2x+2\)
\(2x^2+8x-2\)
\(2x^2+8x+2\)

8. Question

Which expression is equivalent to the expression \(2x^2+3x-(-x^2-2x+3)\)?

\(x^2+5x-3\)
\(3x^2+x-3\)
\(3x^2+5x+3\)
\(3x^2+5x-3\)

9. Question

Which expression is equivalent to the following expression \(2a^2b-3ab^2+4a^2b+5ab^2\)?

\(-2a^2b+2ab^2\)
\(6a^2b-2ab^2\)
\(6a^2b+2ab^2\)
\(8a^2b\)

10. Question

Which expression is equivalent to the expression \(3p^2q^2+2p^2q-2pq^2-(p^2q^2-2p^2q)\)?

\(2p^2q^2+3p^2q-2pq^2\)
\(2p^2q^2+4p^2q-2pq^2\)
\(3p^2q^2+4p^2q-2pq^2\)
\(4p^2q^2+4p^2q-2pq^2\)

11. Question

Which expression is equivalent to the expression \(7y^3-(5y^3-2y^2+3)\)?

\(2y^3-2y^2-3\)
\(2y^3+2y^2-3\)
\(2y^3+2y^2+3\)
\(7y^3-3y^2-3\)

12. Question

Which expression is equivalent to the expression \(2w-\frac{1}{w}^{-1}-w\)?

\(0\)
\(\frac{1}{w}\)
\(w\)
\(2w\)

13. Question

Which expression is equivalent to the expression \(3m^2-\frac{1}{m}^{-2}-m\)?

\(2m^2-m\)
\(2m^2+m\)
\(3m^2-2m\)
\(4m^2-m\)

14. Question

Which expression is equivalent to the expression \(3x^2y^2-2x^2y+xy^2-2(x^2y-xy^2-x^2y^2)\)?

\(x^2y^2+xy^2\)
\(3x^2y^2-4x^2y+5xy^2\)
\(5x^2y^2-4x^2y+3xy^2\)
\(5x^2y^2+3xy^2\)

15. Question

Which expression is equivalent to the expression \(3c^3-c(2c^2+2c+3) \)?

\(c^3-5c^2\)
\(c^3-2c^2-3c\)
\(3c^3-4c^2-3c\)
\(5c^3-2c^2-3c\)

16. Question

Which expression is equivalent to the expression \(v^2w(2vw-w^2)-vw(v^2w-3vw^2) \)?

\(3v^2w^2\)
\(v^3w^2-4v^2w^3\)
\(v^3w^2-2v^2w^3\)
\(v^3w^2+2v^2w^3\)

17. Question

Which expression is equivalent to the expression \(2x^2y+xy(y^2-x)-xy^3\)?

\(0\)
\(x^2y-2xy^3\)
\(x^2y+2xy^3\)
\(x^2y\)

18. Question

Using the information given, compare the quantity in Column A to the quantity in Column B.

If \(x>0\) and \(y>0\),

Column A

\(x-y-(y+x)\)

Column B

\(0\)

Column A is greater
Column B is greater
The two values are equal
The relationship cannot be determined from the information given.

19. Question