In this assessment, you will encounter a number of different questions that will assess both your understanding of mathematics and your ability to reason quantitatively.
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Do not use a calculator in this assessment. You shouldn’t need one to answer these questions, and the extra practice with arithmetic (long division, multi-digit multiplication, etc.) will just make you a better math student!
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Which of the following is a binomial?
Which set of binomials below, when multiplied, are equivalent to \(x^2-2x-8\)?
If \(x^2+ax+18=\left(x-6\right)\left(x-3\right)\), which of the following is equivalent to \(a\)?
If \(x^2+ax-49=\left(x+7\right)\left(x-2\right)\), which of the following is equivalent to \(a\)?
If the expression \(x^2+x-12=\left(x+4\right)\left(x-m\right)\), what is the value of \(m\)?
Which of the following expressions is equivalent to \(x^2-8x+15\)?
Which of the following expressions is equal to \(x^2-64\)?
\(36-x^2\) is equivalent to which of the following?
\(2x^2-x-6\) is equivalent to which of the following expressions?
Using the information given, compare the quantity in Column A to the quantity in Column B.
Column A \(x^4-y^4\) | Column B \(\left(x^2+y^2\right)\left(x^2-y^2\right)\) |
If \(3x^2+ax-2=\left(3x-1\right)\left(x+2\right)\), what is the value of \(a\)?
If \(8x^2+ax+2=\left(4x+2\right)\left(2x+1\right)\), what is the value of \(a\)?
Using the information given, compare the quantity in Column A to the quantity in Column B.
Column A \(\left(x-9\right)\left(x+9\right)\) | Column B \(x^2-81\) |
Using the information given, compare the quantity in Column A to the quantity in Column B.
Column A \(2a\left(a^2-3a-4\right)\) | Column B \(2a^3-6a^2-8\) |
Using the information given, compare the quantity in Column A to the quantity in Column B.
\(x\) and \(y\) are both less than \(1\).
Column A \(\left(3x+y\right)\left(x-y\right)\) | Column B \(3x^2+2xy-y^2\) |
If \(2x^2-5x+2=\left(2x-1\right)\left(x-m\right)\), what is the value of \(m\)?
\(24x^2y^2+19xy+2\) is equivalent to which of the following?
The expression \(4x^2-64\) is equivalent to which of the following?
The expression \(9x^2-121\) is equivalent to which of the following?
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