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Coordinate Algebra. Lucy’s Linear Equations and Inequalities. Introduction. 1. Using only one variable, write three consecutive integers. 2. Using only one variable, write three consecutive even integers. 3. Using only one variable, write three consecutive odd integers.

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## Coordinate Algebra

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**Coordinate Algebra**Lucy’s Linear Equations and Inequalities**Introduction**1. Using only one variable, write three consecutive integers. 2. Using only one variable, write three consecutive even integers. 3. Using only one variable, write three consecutive odd integers.**MCC9-12.A.CED.1 Create equations and inequalities in one**variable and use them to solve problems. Include equations arising from linear and exponential functions. • MCC9-12.N.Q.3 Choose a level of accuracy appropriate to limitations on measurement when reporting quantities. STANDARDS**Lucy’s Linear equations and Inequalities**• Lucy has been assigned the following linear equations and inequality word problems. Help her solve each problem below by using a five step plan. • Drawing a Sketch (if necessary) • Defining a Variable • Setting up an equation or inequality • Solve the equation or inequality • Make sure you answer the question**Results**• The sum of 38 and twice a number is 124. • The sum of two consecutive integers is less than 83. Find the pair of integers with the greatest sum. The number is 43. The pair of integers with the greatest sum is 41 and 42.**Results**• A rectangle is 12m longer that it is wide. Its perimeter is 68m. Find its length and width. x + 12 x**Results**• The length of a rectangle is 4 cm more than the width and the perimeter is at least 48 cm. What are the smallest possible dimensions for the rectangle? x x + 4**Results**• Find three consecutive integers whose sum is 171.**Results**Find four consecutive even integers whose sum is 244.**Results**• Alex has twice as much money as Jennifer. Jennifer has $6 less than Shannon. Together they have $54. How much money does each have? x = Shannon’s Money x – 6 = Jennifer’s Money 2(x – 6) = Alex’s Money x = 18 = Shannon’s Money x – 6 = 18 – 6 = 12 Jennifer’s Money 2(x – 6) = 2(18 – 6) = 2(12) = 24 = Alex’s Money**Results**• There are three exams in marking period. A student received grades of 75 and 81 on the first two exams. What grade must the student earn on the last exam to get an average of no less than 80 for the marking period? x = third test grade The test must be an 84 or higher.

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