Evaluating expressions
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Mathematics Florida Standards (MAFS) Grade 5
www.fldoe.orgnumerical expressions without evaluating them. For example, express the calculation “add 8 and 7, then multiply by 2” as 2 × (8 + 7). Recognize that 3 × (18932 + 921) is three times as large as 18932 + 921, without having to calculate the indicated sum or product.
Evaluating Expressions Date Period
cdn.kutasoftware.comEvaluating Expressions Date_____ Period____ Evaluate each using the values given. 1) y ÷ 2 + x; use x = 1, and y = 2 2 2) a − 5 − b; use a = 10 , and b = 4 1 3) p2 + m; use m = 1, and p = 5 26 4) y + 9 − x; use x = 1, and y = 3 11 5) m + p ÷ 5; use m = 1, and p = 5 2 6) y2 − x; use x = 7, and y = 7 42 7) z(x + y); use x = 6, y = 8 ...
Evaluating Expressions Date Period
cdn.kutasoftware.comEvaluating Expressions Date_____ Period____ Evaluate each using the values given. 1) y ÷ 2 + x; use x = 1, and y = 2 2 2) a − 5 − b; use a = 10 , and b = 4 1 3) p2 + m; use m = 1, and p = 5 26 4) y + 9 − x; use x = 1, and y = 3 11 5) m + p ÷ 5; use m = 1, and p = 5 2 6) y2 − x; use x = 7, and y = 7 42 7) z(x + y); use x = 6, y = 8 ...
Simplifying Variable Expressions
cdn.kutasoftware.comSimplifying Variable Expressions Date_____ Period____ Simplify each expression. 1) −3 p + 6p 2) b − 3 + 6 − 2b 3) 7x − x 4) 7p − 10 p 5) −10 v + 6v 6) −9r + 10 r 7) 9 + 5r − 9r 8) 1 − 3v + 10 9) 5n + 9n 10) 4b + 6 − 4 11) 35 n − 1 + 46 12) −33 v − 49 v 13) 30 n + 8n 14) 7x + 31 x
Second Order Linear Differential Equations
www.math.utah.eduEvaluating at x 0, we have 4 A B 1 A 5B. Solving this pair of equations, we get A 19 4 and B 3 4, so our solution is (12.13) y 19 4 e x 3 4 e 5x Example 12.4 A function x x t satisfies the differential equation (12.14) x 2x 15x 0 Under what conditions on the values of x at t 2 0 will this function decay to 0 as t ∞? The auxiliary equation r
12 Generating Functions - MIT OpenCourseWare
ocw.mit.educan also be used to find closed-form expressions for sums and to solve recurrences. In fact, many of the problems we addressed in Chapters 9–11 can be formulated and solved using generating functions. 12.1 Definitions and Examples The ordinary generating function for the sequence1 hg0;g1;g2;g3:::iis the power series: G.x/Dg0Cg1xCg2x2Cg3x3C :
Angular Momentum - University of Notre Dame
www3.nd.edu1.1. ORBITAL ANGULAR MOMENTUM - SPHERICAL HARMONICS 3 Since J+ raises the eigenvalue m by one unit, and J¡ lowers it by one unit, these operators are referred to as raising and lowering operators, respectively. Furthermore, since J 2 x + J y is a positive deflnite hermitian operator, it follows that