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Combo Simplification Practice

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    Simplify.

    \(3x + 5x\)   \(\frac{2}{3}(3x + 6) - 4x\)  
    \(2a - 4a + 7\)   \(\frac{5}{2}x - \frac{3}{2}x\)  
    \(\frac{1}{2}x - \frac{3}{4}x + 1\)   \(4(a - b) + 2b\)  
    \(4y^2 + 2y - 6y^2 + 5\)   \(3x + \frac{1}{2}(4x - 6)\)  
    \(5x - 3x + 2\)   \(6 - 2(2x + 1)\)  
    \(\sqrt{16} + x^2\)   \(\sqrt{25} + x^2 - 3\)  
    \(3(x + 2)\)   \(2a + 3b - a + 2b\)  
    \(\frac{1}{3}(3x + 6)\)   \(6x + \frac{1}{2}(4x - 2)\)  
    \(4x^2 - 2x + 6 - 3x^2\)   \(x^2 + 2x - x^2 + 3\)  
    \(2(a + b) - 3a\)   \(\frac{1}{4}x + \frac{3}{4}x\)  
    \(5 - 3(2x - 1)\)   \(4(a + b) - 3(a - b)\)  

    FOIL or Factor:

    \((x + 2)(x + 3)\)   \(x^2 + 5x + 6\)  
    \((2x - 5)(x + 4)\)   \(2x^2 - 8x + 6\)  
    \((3a + 4)(2a - 1)\)   \(a^2 - 9a + 14\)  
    \((x - 6)(x + 7)\)   \(x^2 - 7x + 10\)  
    \((5y + 2)(3y - 1)\)   \(3y^2 + 5y - 2\)  
    \((x + 2)(x - 1)(x + 3)\)   \(x^2 + 4x - 12\)  
    \((2x - 3)(x + 4)(x - 1)\)   \(2a^2 - 3a - 5\)  
    \((a + 1)(a - 2)(a + 3)\)   \(x^2 - 10x + 21\)  
    \((y + 2)(y - 3)(y + 4)\)   \(a^2 - 4a + 3\)  
    \((2x + 1)(x - 2)(x + 5)\)   \(x^2 - 11x + 24\)  

    Simplify.

    \(\dfrac{2x^2 + 4x}{2x}\)  
    \(\dfrac{3x^2 - 12}{3x}\)  
    \(\dfrac{x^2 - 4}{x^2 - 2x}\)  
    \(\dfrac{x^2 - 9}{x^2 - 6x + 9}\)  
    \(\dfrac{5x^2 - 10x}{x(x - 2)}\)  
    \(\dfrac{2x^2 - 8}{4x}\)  
    \(\dfrac{x^2 - 16}{x^2 - 4x + 4}\)  
    \(\dfrac{6x^2 - 3x}{3x}\)  
    \(\dfrac{x^2 + 5x + 6}{x^2 + 2x}\)  
    \(\dfrac{2}{x} + \dfrac{3}{x + 1}\)  
    \(\dfrac{4}{x + 2} - \dfrac{2}{x + 3}\)  
    \(\dfrac{3}{x} + \dfrac{5}{x + 2}\)  
    \(\dfrac{1}{x + 1} - \dfrac{1}{x + 3}\)  
    \(\dfrac{2x}{x + 3} - \dfrac{3}{x + 2}\)  
    \(\dfrac{5}{x - 1} + \dfrac{7}{x + 1}\)  
    \(\dfrac{2x}{x + 4} + \dfrac{3}{x + 2}\)  
    . \(\dfrac{x + 3}{x + 1} - \dfrac{x - 1}{x + 2}\)  
    \(\dfrac{3x + 5}{x + 2} - \dfrac{x + 2}{x}\)  

    Combo Simplification Practice is shared under a CC BY-NC-SA license and was authored, remixed, and/or curated by LibreTexts.

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