2. The length of a rectangle is 6 in. more than its width. The perimeter of the rectangle is 24 in. What is the length of the rectangle? What we know: Length is 6 in. more than width Perimeter is 24 in. Perimeter = 2l + 2w What we don’t know Width Width = w What do we want to find Length Length = 6 + w Write equation 24 = 2(w + 6) + 2w

3. Solve for w to find length 24 = 2(w +6) + 2w 24 = 2w + 12 + 2w 24 = 4w + 12 -12 -12 12 = 4w 4 4 3 = w Length = w + 6 3+ 6 = 9 so length of rectangle is 9 in.

4. The length of a rectangle is 8 in. more than its width. The perimeter of the rectangle is 24 in. What are the length and width of the rectangle. What we know Length is 8 more than width Perimeter is 24 P = 2l + 2w What we don’t know Width = w Length = 8 + w What we need to find Width = w Length = 8 + w

5. Write equation P = 2l + 2w 24 = 2(8 + w) + 2w 24 = 16 + 2w + 2w 24 = 16 + 4w -16 -16 8 = 4w 4 4 2 = w Width = w Width = 2 Length = 8 + w Length = 8 + 2 or 10

6. Consecutive means in a row 1, 2, 3, 4, and so on First number always n and start n = 1 What is second number start? n + 1 = 2 What is third number from start n + 2 = 3 The sum of three consecutive intergers is 147. Find the integers. Sum means add n + n + 1 + n + 2 = 147

7. 3n + 3 = 147 -3 -3 3n = 144 3 3 n = 48 1 st number is n = 48 2 nd number is n + 1 = 49 3 rd number is n + 2 = 50

8. 2, 4, 6, 8, and so on 1 st number is always n and start n = 2 What is 2 nd even number from start? n + 2 = 4 What is 3 rd number from start? n + 4 = 6 The sum of three consecutive even integers is 180. What are the integers. n + n + 2 + n + 4 = 180

9. 3n + 6 = 180 -6 -6 3n = 174 3 3 n = 58 1 st is n 58 2 nd is n + 2 60 3 rd is n + 4 62