Warm-up 9/28 Solve….. 1. 3 2𝑥 − 5 = 7 𝑥 + 1 − 3 2. 𝑚+1 3 =9 3. The length of a rectangle is 3 inches longer than twice the width. The perimeter of the rectangle is 36 inches. What are the dimensions of the rectangle? 1. (3) 2. (4) 3. (a) 8x-28 (b) -3x-18 (c) 5x-8 4. (a) x=7 (b) x=11 (c) -3 (e) y= -8 (f) x=5/3 (d) x=21 5. (a) 7 (x+6) = 49 (b) 3 2 x= 1 𝑥 − 2 = 2𝑥 + 1 6. (a) 8(2x+5) (d) 2x+10 x= -8 (b) 8(2 ∙ 3 + 5) =88 (c) 8 2𝑥 + 5 = 160 x= 7.5 WORD PROBLEMS: Solving Equations NUMBER PROBLEMS 1. When 4 times a number is increased by 40, the answer is the same as when 100 is decreased by the number. Find the number. NOW YOU TRY #2! GENERAL PROBLEMS 1. A repair bill on a sailboat came to $1603, including $532 for parts and the remainder for labor. If the cost of labor is $63 per hour, how many hours of labor did it take to repair the sailboat? NOW YOU TRY #2! GENERAL PROBLEMS 3. The perimeter of a rectangle is 30 inches. If the length is one inch longer than the width, find the dimensions of the rectangle. BREAK-EVEN PROBLEMS 1. You are choosing between two health clubs. Club A offers membership for a fee of $40 plus a monthly fee of $25. Club B offers membership for a fee of $15 plus a monthly fee of $30. After how many months will the total cost at each health club be the same? NOW YOU TRY #2! CONSECUTIVE INTEGER PROBLEMS 1. Find two consecutive integers whose sum is 123 CONSECUTIVE INTEGER PROBLEMS 3. Find two consecutive EVEN integers whose sum is−38. CONSECUTIVE INTEGER PROBLEMS 6. Find three consecutive ODD integers whose sum is 75. HOMEWORK: FINISH WORD PROBLEM WORKSHEET Credit will ONLY be given if you write an equation and solve it!