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Algebra Name ___________________ Adding/Subtracting Expressions with Radicals Some of the properties that apply to products and quotients of radicals do not apply when working with sums or differences of radicals. 49 4 9 23 or 6 36 49 4 9 but 23 cannot be done as 5 6 13 5 In order to add or subtract radical expressions, we must have the same radicands (numbers under the ). Ex 1). 1 5 2 5 3 5 Similar to combining like terms: x 2 x 3x We are adding “square roots of 5” instead of x’s. Ex 2). 5 7 3 7 2 7 Sometimes we must write each part of the expression in simple radical form first. 9 32 2 2 7 3 63 Ex 3). 2 7 3 97 Ex 4). 2 7 33 7 9 16 2 2 9 4 2 1 2 2 7 9 7 36 2 1 2 11 7 35 2 See Back Assignment Use the examples on the front to help you with #1-6. 1). 11 4 11 2). 9 7 7 3). 2 3 12 4). 50 8 5). 7 12 5 27 3 6). 12 6 3 2 6 Blast from the Past Section! 7). 9). 3(3n 4) 54 6n Find the slope of the line passing through (-2,3) and (4,6). 8). 7 2x 5 3 x 10). Write 2 x 3 y 12 in slope intercept form and identify m and b. 11). A direct variation graph is a line which always passes through what point? 12). Solve and graph on a number line: 8 x 2 17 x 9 13). Solve the system: 5 x 6 y 8 5x 2 y 4 14). Simplify: y 0 (3 x 6 y 3 ) 2