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19. Assessment Focus Vianne took 4 bottles of |21. A large pizza with tomato sauce and cheese water and 6 bottles of juice to a family costs $7.50, plus $1.50 for each additional picnic. Each bottle of juice contained 0.5 L. topping. A customer orders a large pizza The total volume of water and juice was and is charged $16.50. How many toppings 4.42 L. What was the volume of 1 bottle of did the customer order? water? a) Write an equation to solve the problem. a) Choose a variable and write an equation b) Solve the problem. Verify the solution. for this situation. b) Solve the equation. 22. An item increased in price by $4.95. This is c) Verify the solution. a 9% increase. What did the item cost before Show your work. the price increase? a) Write an equation to solve the problem. 20. On a test, a student solved these equations: b) Solve the equation. Verify your solution. Take It Further a ) 3 ( x - 2 .4 ) = 4.2 23. The expression 180(n - 2) represents the 3 ( x) - 312.4 ) = 3( 4 .2 ) sum of the interior angles in a polygon with 3 x - 7.2 = 12.6 n sides. Suppose the sum of its interior 3 x - 7.2+ 7.2 = 12.6+ 7.2 angles is 1080. How many sides does the 3 x = 19.8 polygon have? 2X = 19.8 3 a) Write an equation to solve the problem. b) Kyler solves the equation after using the X = 6.6 distributive property to simplify 180(n - 2). Show the steps in Kyler's b ) 5 - 2X = 3 solution. 5 - 2X - 5=3-5 c) Esta solves the equation by undoing the ZX = - 2 operations that were used to build the equation. Show the steps in Esta's solution. * =-1 d) Whose method do you prefer? Explain. 24. Solve each equation. Verify the solution. What mistakes did the student make? a) 4x + 2 = -17 b ) 8 m 6 176 7 Write a correct solution for each equation. 2 - 5p = 67 6 d) 22 + 10g 8 5