4.11: Proficiency Exam
Proficiency Exam
In the expression below, specify the number of terms that are present, then list them.
\(3a(a+1)−(a+2)(a−3)\)
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two: \(3a(a+1), −(a+2)(a−3)\)
List, if there are any, the common factors of:
\(20x^3y^2 + 15x^3y^2z^2 + 10x^3z^2\)
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\(5x^3\)
How many \(y^2(b+2)\)'s are in \(8xy^2(b+2)(b-6)\)
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\(8x(b-6)\)
Write the coefficient of \(x^3\) in \(8x^3y^3z\)
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\(8y^3z\)
Find the value of \(P^2\) if \(k = 4\) and \(a = 3\).
\(P^2 = ka^3\)
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\(108\)
Classify the polynomial given below as a monomial, bionomial, trinomial, or none of these. Specify the degree of the polynomial and write the numerical coefficient of each term.
\(3x^3y + 4xy^4 + 8x^2y^2z^0w, z \not = 0\)
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trinomial; 5th degree;
numerical coefficients: 3, 4, 8
Simplify the algebraic expressions for the following problems.
\(4x^2 + 3x + 2x + 11x^2 - 3\)
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\(15x^2 + 5x - 3\)
\(3a[2(a+1)+4]−18a\)
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\(6a^2\)
\((x+2)(x+4)\)
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\(x^2 + 6x + 8\)
\((3a−7)(2a+10)\)
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\(6a^2 + 16a - 70\)
\((y+3)^2\)
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\(y^2 + 6y + 9\)
\((6a + 7y)^2\)
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\(36a^2 + 84ay + 49y^2\)
\((4x-9y)^2\)
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\(16x^2 - 72xy + 81y^2\)
\(3x^2(2x+5)(3x+1)\)
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\(18x^4 + 51x^3 + 15x^2\)
\((3a−b)(4a−3b)\)
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\(12a^2 - 13ab + 3b^2\)
\(-6y^2(2y+3y^2-4)\)
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\(-18y^4 - 12y^3 + 24y^2\)
\(-4b^3(b^2-1)^2\)
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\(-4b^7 + 8b^5 - 4b^3\)
\((2a^3 + 3b^2)^2\)
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\(4a^6 + 12a^3b^2 + 9b^4\)
\(6a(a-2)-(2a^2 + a - 11)\)
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\(4a^2 - 13a + 11\)
\((5h+2k)(5h−2k)\)
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\(25h^2 - 4k^2\)
Subtract \(4a^2 - 10\) from \(2a^2 + 6a + 1\)
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\(-2a^2 + 6a + 11\)
Add three times \(6x-1\) to two times \(-4x + 5\)
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\(10x+7\)
Evaluate \(6k^2 + 2k - 7\) if \(k = -1\)
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\(-3\)
Evaluate \(-2m(m-3)^2\) if \(m = -4\)
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\(392\)
What is the domain of \(y = \dfrac{3x-7}{x+3}\)?
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All real numbers except \(-3\)