# 10 Algebra Problems : Simplifying and Binomials

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For questions 1 through 4, simplify the expressions.

1. 9 - (- 2) + (3 - 4)

2. - 2/3 - Â½

3. - 8 Ã· 4?3

4. - 8 Ã· (4?3)

5. Evaluate the expression - 6(x + 3) for x = 2

6. Look at this expression: 12xÂ³y + 3xÂ²yÂ² + xyÂ³. Is this a binomial? Of what degree?

7. Subtract (11xÂ³ - 8x + 3) from (9xÂ³ + 3xÂ² - 2)

8. Simplify: 80xÂ°, - 80xÂ°, (- 80)xÂ°

9. Find the product of: (5y - 2)?(yÂ² - 4y + 3)

10. Divide (12x4 - 16x3 + 8x) by (4x)

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For questions 1 through 4, simplify the expressions.

1. 9 - (- 2) + (3 - 4)

= 9 + 2 + 3 - 4

= 14 - 4

= 10 ------Answer

2. - 2/3 - Â½

= - [2/3 + Â½] = -7/6 ------Answer

Calculation by taking the LCM as 3*2

3. - 8 Ã· 4â€¢3 = -2 * 3 = -6 ------Answer

4. - 8 Ã· (4â€¢3) = -8 Ã· 12 = -8/12 = -2/3 ------Answer

5. Evaluate the expression - 6(x + 3) for x = 2

= -6 * (2 + 3) = -6 * 5 = -30 ------Answer

6. Look at this expression: 12xÂ³y + 3xÂ²yÂ² + ...

#### Solution Summary

A variety of simplifying and multiplying-out problems are solved. The solution is well presented.