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    A number of algebra practice questions and solutions

    This content was COPIED from BrainMass.com - View the original, and get the already-completed solution here!

    Evaluate.

    ((-1)2 - 3)3 + 5 · (-5)

    Simplify the following expression:

    When converting from Fahrenheit degrees to Celsius degrees , a well known formula is used:
    . Solve for .

    Simplify.

    Simplify.

    Simplify.

    Write your answer without parentheses.

    Rewrite the following without an exponent.

    Simplify.

    Write your answer without using negative exponents.

    Simplify.
    3w2w-2 · 4v-9v · 2x-8x8
    Use only positive exponents in your answer.

    Simplify.

    Multiply.

    Simplify your answer as much as possible.
    Multiply.

    Simplify your answer.
    Rewrite without parentheses and simplify.

    Multiply.

    Simplify your answer.
    Factor
    .
    Factor.

    Factor.

    Factor:

    Factor:
    .

    Multiply. Write your answer in lowest terms.

    Simplify.
    21n4/3x4y2 / 7mn2/9x3y

    Subtract. Write your answer in lowest terms.

    Add and simplify:

    Simplify.

    Solve for :
    .
    Simplify your answer as much as possible.

    Solve for .

    Solve the following proportion for .

    Round your answer to the nearest tenth.

    Milan runs miles in minutes. At the same rate, how many miles would he run in minutes?

    Rewrite the following in simplified radical form.

    Assume that all variables represent positive real numbers.

    Simplify as much as possible.

    Assume that all variables represent positive real numbers.

    Simplify.

    Assume that all variables represent positive real numbers.
    Rationalize the denominator and simplify.

    Solve for , where is a real number.

    Solve for , where is a real number.

    Find the value of .

    Write the following in simplified radical form.

    Solve for .

    Solve the equation

    for .

    Solve , where is a real number.
    Simplify your answer as much as possible.

    Use the quadratic formula to solve for .

    Write in simplified radical form by rationalizing the denominator.

    Simplify.

    Assume that all variables represent positive real numbers.
    Multiply.

    Simplify your answer as much as possible.

    Simplify as much as possible.

    Assume that all variables represent positive real numbers.

    Simplify.

    Use the quadratic formula to solve for .

    Solve for .

    Simplify.

    Write your answer without parentheses.

    Rewrite the following without an exponent.

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    https://brainmass.com/math/basic-algebra/number-algebra-practice-questions-solutions-354674

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    Please see the attached file.

    Evaluate.

    ((-1)2 - 3)3 + 5 · (-5)

    = {(-1 x -1) - 3}3 + 5 x -5

    = {1 - 3}3 - 25

    = {-2}3 - 25 = -8 - 25

    = - 33

    Simplify the following expression:

    = -2w -2u -3*(-4u) -3*(-6u)

    = -2w - 2u +12u +18u

    = 10w + 16u

    When converting from Fahrenheit degrees to Celsius degrees , a well known formula is used:
    . Solve for .

    9C = 5{F - 32}

    9C = 5F - 5 x 32

    9C = 5F - 160

    5F = 9C + 160

    F = {9C + 160}/5

    F = 9/5*{C +160/9}

    Simplify.

    = y1 x y5 x y3

    = y(1 + 5 + 3)

    = y9

    Simplify.

    = z(6 - 5)*x(3 - 4)

    = z*x-1

    = z/x

    Simplify.

    = {x4}3/({-2}3{y}3)

    = x(4 x 3)/{(-2 x -2 x -2)*y3}

    = x12/-8y3

    = -x12/8y3

    Write your answer without parentheses.

    Rewrite the following without an exponent.

    Exponent of -1 means invert the fraction so

    = 7/8

    Simplify.

    Write your answer without using negative exponents.
    = u(-5 x 4)

    = u-20

    The negative exponent means invert and turn the exponent to a positive thus

    = 1/u20

    Simplify.
    3w2w-2 · 4v-9v · 2x-8x8
    Use only positive exponents in your answer.

    = 3w(2 - 2). 4v(1 - 9).2x(8 - 8)

    = 3*4*2w0.v-8.x0

    Any variable to the power of zero is just 1 thus

    = 24v-8

    A negative exponent means we invert the variable v and change the expeonent to a positive exponent thus

    = 24/v8

    Simplify.

    = -5u2 + 2u + 1 - 7u + 8 -2u2 -1(4u) -1(-1)
    = -5u2 - 2u2 +2u - 7u - 4u + 8 + 1 + 1
    Collect u2 , u and number terms together we get
    = -7u2 - 9u + 10

    Multiply.

    = 4*3*4w(4 + 2).v(1 + 9)

    = 48w6.v10
    Simplify your answer as much as possible.
    Multiply.

    = x*x +7*x - 3*x -3(7)

    = x2 +4x - 21
    Simplify your answer.
    Rewrite without parentheses and simplify.

    = (3u - 2)*(3u - 2)

    = 3u*3u -2(3u) -2(3u) -2(-2)

    = 9u2 - 6u - 6u + 4

    = 9u2 - 12u + 4

    Multiply.

    Simplify your answer.
    = 3u*6u + 3u*3w + 3u*1 - 5*(6u) - 5(3w) -5(1)
    = 18u2 + 9uw + 3u - 30u - 15w - 5
    Collecting like terms together
    = = 18u2 + 9uw - 27u - ...

    Solution Summary

    A number of algebra practice questions and solutions.

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