Combo Simplification Practice

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.

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

$\dfrac{2}{x} + \dfrac{3}{x + 1}$
$\dfrac{4}{x + 2} - \dfrac{2}{x + 3}$
$\dfrac{3}{x} + \dfrac{5}{x + 2}$
$\dfrac{1}{x + 1} - \dfrac{1}{x + 3}$
$\dfrac{2x}{x + 3} - \dfrac{3}{x + 2}$
$\dfrac{5}{x - 1} + \dfrac{7}{x + 1}$
$\dfrac{2x}{x + 4} + \dfrac{3}{x + 2}$
. $\dfrac{x + 3}{x + 1} - \dfrac{x - 1}{x + 2}$
$\dfrac{3x + 5}{x + 2} - \dfrac{x + 2}{x}$