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Warm Up. Solve each equation. 1. y – 4 = 3x – 8, for x. 2. m – hp = d, for p. 3. A = ½bh, for h. 4. S = C + xC, for x. Consecutive Integers and Perimeter. Objective. TSWBAT find consecutive integers with given sums and. TSWBAT find perimeter of a figure.

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## Warm Up

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**Warm Up**Solve each equation. 1. y – 4 = 3x – 8, for x 2. m – hp = d, for p 3. A = ½bh, for h 4. S = C + xC, for x**Objective**• TSWBAT find consecutive integers with given sums and. • TSWBAT find perimeter of a figure.**Define a Variable: to let a variable represent an unknown**value. Define a variable, write an equation and solve. 1. The width of a rectangle is 2 cm less than its length. The perimeter of the rectangle is 16 cm. What is the length of the rectangle?**Define a variable, write an equation and solve.**2. The width of a rectangle is 3 in. more than twice its length. The perimeter of the rectangle is 36 in. What is the width of the rectangle?**Consecutive Integers: integers that differ by one.**Example: Name four consecutive integers, if the first one is: 14? 29? 14, 15, 16, 17 29, 30, 31,32 n? - 17? n, n + 1, n + 2, n + 3 -17, -16, -15, -14**The sum of three consecutive integers is 48. Find the**integers.**Consecutive Even/Odd Integers: integers that differ by two,**the first being even/odd. Example: What’s the next four even integers if the first is: x? 22? x, x + 2, x + 4, x + 6 22, 24, 26, 28**Consecutive Even/Odd Integers: integers that differ by two**the first being even/odd. Example: What’s the next four odd integers if the first is: 13? n? n, n + 2, n + 4, n + 6 13, 15, 17, 19**The sum of three consecutive even integers is 72. Find the**integers.**The sum of four consecutive odd integers is 136? Find the**integers.

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