GED Mathematical Reasoning Test For Dummies
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On the GED Mathematical Reasoning test, you may need to multiply or divide polynomial expressions. You can solve these expressions using either a horizontal or vertical approach, as shown in the following practice questions.

Practice questions

  1. Solve the following:

  2. Solve the following:


Answers and explanations

  1. 112x2 – 94xy – 51y2

    To solve this equation, start by multiplying the first term in the first polynomial by the two terms in the second polynomial: 14x (8x + 3y) = 112x2 + 42xy. Multiply the second term in the first polynomial by the two terms in the second polynomial:

    112x2 + 42xy + 136xy + 51y2 = 112x2 – 51y2 + 136xy

    Now, put it all together and simplify:

    112x2 – 94xy – 51y2

  2. a + 5

    To solve this problem, use long division:


    Change the signs to subtract:


    Carry down 5b – 10 to get:


    You can see that the next term will be +5:


    You have your answer. Change the signs to subtract and make sure you have no remainder:


About This Article

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About the book authors:

Murray Shukyn, an acknowledged Canadian leader in alternative education, has taught at the elementary, secondary, and university levels and created adult training programs. Achim Krull has taught at high school and adult levels, and has written textbooks, teachers' guides, and numerous other learning materials.

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