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10 Algebra Problems : Simplifying and Binomials

Please see the attached file for the fully formatted problems.

For questions 1 through 4, simplify the expressions.

1. 9 - (- 2) + (3 - 4)
2. - 2/3 - ½
3. - 8 ÷ 4?3
4. - 8 ÷ (4?3)

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

6. Look at this expression: 12x³y + 3x²y² + xy³. Is this a binomial? Of what degree?

7. Subtract (11x³ - 8x + 3) from (9x³ + 3x² - 2)

8. Simplify: 80x°, - 80x°, (- 80)x°

9. Find the product of: (5y - 2)?(y² - 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 - ½
= - [2/3 + ½] = -7/6 ------Answer
Calculation by taking the LCM as 3*2

3. - 8 ÷ 4•3 = -2 * 3 = -6 ------Answer
4. - 8 ÷ (4•3) = -8 ÷ 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: 12x³y + 3x²y² + ...

Solution Summary

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

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