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    Intermediate Algebra - Practice Problems

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    Intermediate Algebra - Practice Problems

    1. Simplify
    2a+5a-(6a+8)

    2. Clear fractions or decimals, solve, and check

    1.7t +8-1.62t=0.4t-0.32+8

    3. Divide and check
    (24x^6 + 18x^4 + 8x^3) ÷ (4x^3)

    4. Factor completely. If a polynomial is prime, state this
    4x^2 - 25

    5. Solve
    x^2 + 2x - 35 =0
    25y^2 + 16 = 0
    2t (t+ 2) =1

    6. Find the sole of the line containing each given pair of points. If the slope is undefined, state this.
    (-1, 4) and (5, -8)

    7. Solve using the elimination method
    8s + 12t = 16,
    6s + 9t = 12

    8. Is it possible for the graph of a quadratic function to have only one x-intercept if the vertex is off the x-axis? Why or why not?

    9. Rewrite each of the following as an equivalent logarithmic equation. Do not solve
    8 1/3 = 2

    10. Express as an equivalent expression that is a single logarithm.
    log_b c - log_b d

    11. How long will it take $7600 to double if it is invested at 4.2%, compounded continuously?

    12. Find the perimeter
    4a +5 + 6a + 8

    See attached file for different formatting.

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    https://brainmass.com/math/basic-algebra/intermediate-algebra-practice-problems-317362

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    Solution Preview

    The solution file is attached.

    Glenda Everson
    Intermediate Algebra - Practice Problems
    1. Simplify
    2a+5a-(6a+8) = 2a + 5a - 6a - 8 = a - 8
    2. Clear fractions or decimals, solve, and check
    1.7t +8-1.62t=0.4t-0.32+8
    1.7t - 1.62t - 0.4t = -0.32 + 8 - 8
    -0.32t = -0.32
    t = -0.32/-0.32 = 1
    3. Divide and Check
    (24x^6 + 18x^4 + 8x^3) ÷ (4x^3)
    = (24x^6 / 4x^3) + (18x^4 / 4x^3) + (8x^3 / 4x^3)
    = 6x^3 + (9/2)x + 2
    4. Factor completely. If a polynomial is prime, state this
    4x^2 - 25 = (2x)^2 - 5^2 = (2x - ...

    Solution Summary

    The expert simplifies an algebraic function. Fractions and decimals are solved. Complete, Neat and Step-by-step Solutions are provided in the attached file.

    $2.19