remember to show ALL of your work on every problem. Show the complete expression or equation in every step; write each new step beneath the previous step; make sure that each step follows algebraically from the previous step; and remember that equal signs should only connect equal numbers or expressions. Do not convert fractions to decimals. Express your answers in whole numbers or fractions, not decimals. 1) Simplify each expression. First use the Distributive Property to clear parentheses and then combine like terms. a) b) c) d) e) 3 4 y 8 2 y 5 7 7 x 6x 4b 6 b 3 6 z z 4 12 5 4m 7 3m 6 2) Perform the indicated operations, showing all work. Write the answer in lowest terms. 2 3 4 5 12 16 10 3) Evaluate the following expression if 3 x 8 and 7 y 9 . Show all work and write the answer in lowest terms. 4x2 2 y 4) Solve the equation. Show all work and show the complete check of your answer. 25 r 4 6r 5 5) Solve the equation. Show all work and show the complete check of your answer. 10 2 6 x 20 4 12 x 10 8 6) Solve the equation using the method discussed in the PA textbook, pages 329-332: clear fractions in the first step by multiplying by the LCD. Show all work and show the complete check of your answer. y y 4 6 2 7) Solve the equation using the method discussed in the PA textbook, pages 329-332: clear fractions in the first step by multiplying by the LCD. Show all work and show the complete check of your answer. 3 11 68 a a 2 4 8 8) At a certain university, 2 3 of the freshmen decide to major in math. If there are 600 freshman at that university, how many have decided to major in math? Show all work, please, and include units in your answer. 9) Alyson is creating a vegetable garden in her back yard. She has set aside a rectangular space that is feet wide and feet long. Find the perimeter of the garden. Show all work and 3 1 3 4 4 2 write a complete answer with appropriate units. 10) An elementary school buys tickets for a field trip to the zoo. The number of children going on the field trip is 8 times the number of adults. Tickets for children cost $10 each and tickets for adults cost $15 each. The total cost of all of the tickets is $1900, how many tickets of each type did the school purchase? Please set up and solve this problem following the steps below: a) b) c) d) Define the unknown quantities in terms of one variable. Translate the question into an equation. Solve the equation, showing all work. Write a complete answer to the question asked, including appropriate units