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NYS COMMON CORE MATHEMATICS CURRICULUM End -of Module Assessment Task •3 Module 3: Expressions and Equations 364 This work is derived from Eureka Math ™ and licensed by Great Minds. ©2015 Great Minds. eureka-math.org This file derived from G7-M3-TE-1.3.0-08.2015 This work is licensed under a

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x + y = 1000...Equation A 0.25x + 0.50y = 0.45 (1000)...Equation B I will solve for y in Equation A. Of course, you can solve for x or y (your choice). From this system of equations, it is easier playing with equation A. x + y = 1000...Equation A Solving for x, I get: x = 1000 - y I will now plug x = 1000 - y into Equation B to find the value of y.

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Notes – Systems of Linear Equations System of Equations – a set of equations with the same variables (two or more equations graphed in the same coordinate plane) Solution of the system – an ordered pair that is a solution to all equations is a solution to the equation. a. one solution b. no solution c. an infinite number of solutions

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11 • Examine ideas ... procedures, two or more steps ... • Asking questions to help them understand the task • Persevering in solving problems and realizing ... Pre-Algebra topics usually include natural numbers, integers, fractions, decimals, percents, exponents, factors, slope, properties of numbers, order of operations, and more. Students are also introduced to basic Algebra concepts such as variables and equations. Pre-Algebra students should be comfortable solving basic one or two step equations.

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7. Use polynomial identities to solve problems 8. Rewrite rational expressions Creating Equations* 9. Create equations that describe numbers or relationships Reasoning with Equations and Inequalities 10. Understand solving equations as a process of reasoning and explain the reasoning 11. Solve equations and inequalities in one variable 12.

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Apr 11, 2015 · Create and solve equations (mathematical statements that use letters to represent unknown numbers, such as 2x-6y+z=14) with two or more variables to describe numbers or relationships The problem tells us that there is an arithmetic sequence with two known terms which are {a_5} = - 8 and {a_{25}} = 72. The first step is to use the information of each term and substitute its value in the arithmetic formula. We have two terms so we will do it twice.