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    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 - 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.

    $2.19

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