Additional Practice for Chapter 1A test Estimate to the nearest tenth. 2. 57 78 1. 3. 39 6. 42 Simplify each expression. 243 4. 5. 4 7. 8. 144 90 40 125 5 3 9. 320 Simplify by rationalizing each denominator. 6 10. 11. 5 3 15 3 12. 13 4 6 Add or subtract. 14. 12 3 3 12 13. 7 5 10 5 15. 6 50 4 32 Solve. 16. A building has a mural painted on an outside wall. The mural is a square with an area of 14,400 ft2. What is the width of the mural? Answers: 2. 7.5 1.8.8 3. 6.2 5. 3 2 7. 4. 9 3 6. 3 14 1 3 9. 8 5 8. 5 10. 6 5 5 78 11. 3 5 12. 13. 3 5 14. 18 3 15. 14 2 16. 120 ft 24 Each figure below is made from squares. Given the area of each figure, find its perimeter to the nearest tenth. 1. 2. 3. Simplify each expression. Rationalize denominators when necessary. 4. 375 5. 100 6. 3 60 7 44 8. 7. 9 80 9. 32 4 8 3 72 50 99 121 7 3 12 3 108 Solve. 10. Karly is building a patio using large square tiles with an area of 42.25 ft2 each. She uses 9 tiles to make a square patio. What is the perimeter of her patio? Answers: 1. 54 10 m 2. 32 39 ft 3. 16 230 in 4. 5. 2 26 5 6. 84 165 8. 15 9 10 2 10. 78 ft 7. 3 11 11 9. 5 6 Write and simplify an expression for the perimeter of the figure. 1. Solve. 2. An Internet search engine company charges fees for advertising links. There is a $5 fee to set up an account and a set charge each time someone clicks on the link. a. Tony set up an account with a search engine company. The set charge is $0.75 per click. Write an expression for the amount Tony will pay for setup and c clicks. _______________ b. After a month, Tony noticed he wasn’t getting many buyers at his website. He chose an increased rate of $1.25 per click. Write an expression for the amount Tony will pay for setup, c clicks at $0.75 per click, and d clicks at $1.25 per click. _______________ c. Find Tony’s cost if he got 50 clicks in the first month and 85 clicks in the second month. _______________ 9.Marco delivers newspapers on the weekend. He delivers s newspapers on Saturday and 4s newspapers on Sunday. He earns $0.15 for each paper he delivers. a. Write an expression for the total amount of money Marco earns each weekend. ____________________ b. Evaluate your expression for s 50. ____________________ c. Write an expression for the amount of money Marco earns in a year if he delivers the same number of papers every weekend. ____________________ 10. A tank holds 500 gallons of water. It starts out full, then 10 gallons are released every minute. a. Write an expression for the number of gallons in the tank after m minutes. ____________________ b. Write an expression for the number of gallons in the tank after m minutes if 2 gallons are also added every minute. 1.4a2 8a 36b 2.a. 5 0.75c b. 5 0.75c 1.25d c. 9.a. 0.15(5s) b. $37.50 10. a. 500 10m $148.75 c. 0.15(260s) b. 500 8m 1-28 Holt Algebra 2 Simplify each expression. Assume all variables are nonzero. 5 3 8 3 2 3 1. (5x y z ) 24m7 n 3 3. 5 4mn 5 0 3 2. 7g h (2h k ) 2 Evaluate each expression. 5 5. 8 4. (2)4 ________________________ 2 3 6. 2 ________________________ 3 ________________________ Simplify each expression. Assume all variables are nonzero. 7. 68f 5 g 3 4f 3 g 6 8. (4a3b7)2 9. 6m4n9(3m2n3)2 Answers: 1. 125x16 z 24 y9 2. 7g 2 8h12 3. 1 36m12 n16 4. 1 16 5. 64 25 6. 8 27 7. 17f 8 g9 8. 1 16a6 b14 9. 2n 3 3