Name Class Date. Pearson Education, Inc., publishing as Pearson Prentice Hall. All rights reserved.

Transcription

1 Practice - Solving Two-Step Equations Solve each equation. Check your answer.. a b t. a +. -t + Write an equation to model each situation. Then solve.. You want to buy a bouquet of yellow roses and baby s breath for $. The baby s breath costs $.0 per bunch, and the roses cost $.0 each. You want one bunch of baby s breath and some roses for your bouquet. How many roses can you buy? 8. Suppose you walk at the rate of 0 ft/min. You need to walk 0,000 ft. How many more minutes will it take you to finish if you have already walked 0 ft? 9. Suppose you have shelled. lb of pecans, and you can shell pecans at a rate of. lb per hour. How many more hours will it take you to shell a total of lb of pecans? 0. To mail a first class letter, the U.S. Postal Service charges $. for the first ounce and $. for each additional ounce. It costs $.8 to mail your letter. How many ounces does your letter weigh?. Suppose you want to buy one pair of pants and several pairs of socks. The pants cost $.9, and the socks are $.9 per pair. How many pairs of socks can you buy if you have $0.00 to spend? Solve each equation. Check your answer...8n y +. -d +. m z b s -. 9f a h +. -c n +. - a. k n a Justify each step a a a b b. b. - c. -(-) -(-0) c. ( ) () c. d. 0 d. d. Algebra Chapter Lesson - Practice

2 Practice - Solving Multi-Step Equations Solve each equation. Check your answer.. n + n z z -.. h - h +. t t -. a - a -. c - 8c g + - g b - + b 0. (a - ) +. + (a - ) (c - ) 9. ( + ) -. (a + ) -. (m + ). - + ( - ). - - (k + ) 8 8. (t - ) 9. -w + (w + ) (d - ). -d + ( + d) -. + ( + ). (a + ) -8. (t - ) - t -0. (b + ) - b -. (k + ) (s + ).8 8. (9b - ) 9. (n - 8) 0. 0.( - ) -. 8 c. s g + g k + k 8. - h k 0. - z. -9 m. c - c. - g d - Write an equation to model each situation. Then solve.. The attendance at a baseball game was 00 people. Student tickets cost $ and adult tickets cost $. Total ticket sales were $00. How many tickets of each type were sold?. The perimeter of a pool table is 0 ft. The table is twice as long as it is wide. What is the length of the pool table? 8. Lopez spent of his vacation money for travel and of his vacation money for lodging. He spent $00 for travel and lodging. What is the total amount of money he spent on his vacation? 9. Victoria weighs as much as Mario. Victoria weighs lb. How much does Mario weigh? 0. Denise s cell phone plan is $9.9 per month plus $.0 per minute for each minute over 00 minutes of call time. Denise s cell phone bill is $99.9. For how many minutes was she billed? Lesson - Practice Algebra Chapter

3 Practice - Equations With Variables on Both Sides Solve each equation. Check your answer. If appropriate, write identity or no solution.. - n n -. ( - r) -(r + ). d + 8 d -. t (t + ) - t. 8z - z - + z (n - ) n + - n 8. ( - d) - 9d 9. s - -s (f - ) (f - 8). k - - k. v v - v. (b - ) - + b d - 9d. a - a. s - + s s - 8..y. +.y 9..v v 0. b b +. ( + ) +. y + 9 (y + ). g + g - - g. (n + ) n -. - d ( - d)..h 9. -.h. -.s - -.s (f + ) (f - ) 9. t - t 0. v v + v. d - d. (r + ) r (p - ) p Write an equation to model each situation. Then solve. Check your answer.. Hans needs to rent a moving truck. Suppose Company A charges a rate of $0 per day and Company B charges a $0 fee plus $0 per day. For what number of days is the cost the same?. Suppose a video store charges nonmembers $ to rent each video. A store membership costs $ and members pay only $.0 to rent each video. For what number of videos is the cost the same?. Suppose your club is selling candles to raise money. It costs $00 to rent a booth from which to sell the candles. If the candles cost your club $ each and are sold for $ each, how many candles must be sold to equal your epenses? Find the value of ( ) ( ) ( ) ( ) (. 0.8) (..) Algebra Chapter Lesson - Practice

4 Practice - Ratio and Proportion Find each unit rate. $ 8 bagels. $0 for 8 h... lb d 80 cal. h. An 8-ounce bottle of lotion costs $.0. What is the cost per ounce?. A pound of coffee costs $.99. What is the cost per ounce? Which pairs of ratios could form a proportion? Justify your answer , 8, 8 9, 0, 8,. Solve each proportion.. g z m s 0 t r..8.. c. h. f. p 9. a 8. k 8. a 9 9. k 9 0. y 8. t You are riding your bicycle. It takes you 8 min to go 8 mi. If you continue traveling at the same rate, how long will it take you to go mi?. Suppose you traveled 8 mi in. h. Moving at the same speed, how many mi would you cover in h?. A canary s heart beats 0 times in s. Use a proportion to find how many times its heart beats in 0 s.. Your car averages 8 mi per gal on the highway. If gas costs $.8 per gal, how much does it cost in dollars per mi to drive your car on the highway? Lesson - Practice Algebra Chapter

5 Practice - Proportions and Similar Figures Each pair of figures is similar. Find the length of Use a proportion to solve. 9. nabc is similar to nxyz. The length AB is 0. The length BC is. Find the length XY if the length YZ is. 0. Marty has a scale model of a car. The scale is in. : in. If the model is. in. long, how long is the actual car?. A blueprint scale is in. : ft. The width of a building is 8 ft. What is the width of the building on the blueprint?. Angie is using similar triangles to find the height of a tree. A stick that is ft tall casts a shadow that is ft long. The tree casts a shadow that is ft long. How tall is the tree?. 0.. nabc is similar to nxyz. The length AC is 0. The length BC is. What is the length XZ if the length YZ is?. A map has a scale of in. : mi. Two cities are mi apart. How far apart are they on the map? Algebra Chapter Lesson - Practice

6 Practice - Equations and Problem Solving Write and solve an equation for each situation.. A passenger train s speed is 0 mi/h, and a freight train s speed is 0 mi/h. The passenger train travels the same distance in. h less time than the freight train. How long does each train take to make the trip?. Lois rode her bike to visit a friend. She traveled at 0 mi/h. While she was there, it began to rain. Her friend drove her home in a car traveling at mi/h. Lois took. h longer to go to her friend s than to return home. How many hours did it take Lois to ride to her friend s house?. May rides her bike the same distance that Leah walks. May rides her bike 0 km/h faster than Leah walks. If it takes May h and Leah h to travel that distance, how fast does each travel?. The length of a rectangle is in. greater than the width. The perimeter of the rectangle is in. Find the dimensions of the rectangle.. The length of a rectangle is twice the width. The perimeter is 8 in. Find the dimensions of the rectangle.. At 0:00 A.M., a car leaves a house at a rate of 0 mi/h. At the same time, another car leaves the same house at a rate of 0 mi/h in the opposite direction. At what time will the cars be 0 miles apart?. Marla begins walking at mi/h toward the library. Her friend meets her at the halfway point and drives her the rest of the way to the library. The distance to the library is miles. How many hours did Marla walk? 8. Fred begins walking toward John s house at mi/h. John leaves his house at the same time and walks toward Fred s house on the same path at a rate of mi/h. How long will it be before they meet if the distance between the houses is miles? 9. A train leaves the station at :00 P.M. traveling west at 80 mi/h. On a parallel track, a second train leaves the station hours later traveling west at 00 mi/h. At what time will the second train catch up with the first? 0. It takes hour longer to fly to St. Paul at 00 mi/h than it does to return at 0 mi/h. How far away is St. Paul?. Find three consecutive integers whose sum is.. The sum of four consecutive odd integers is. Find the four integers.. A rectangular picture frame is to be 8 in. longer than it is wide. Dennis uses 8 in. of oak to frame the picture. What is the width of the frame?. Each of two congruent sides of an isosceles triangle is 8 in. less than twice the base. The perimeter of the triangle is in. What is the length of the base? Lesson - Practice Algebra Chapter

7 Practice - Percent of Change Find each percent of change. Describe the percent of change as an increase or decrease. Round to the nearest whole number.. g to g. 0 cm to 00 cm. 90 in. to in.. 00 lb to 00 lb. $90 to $8.0. $00 to $0. $ to $ mi to mi m to 0 m 0. 8 to. 0 to mi to 80 mi. 8 to. 90 yd to yd.. to.8. $8.0 to $.. to 9 8. to 9. to 8 0. to 8 Find each percent of change. Describe the percent of change as an increase or decrease. Round to the nearest whole number.. In 98, the average price for gasoline was $.0/gal. In 000, the average price for gasoline was $.. Find the percent of change.. In 980, Teas had U.S. Representatives. That number increased to 0 in 000. Find the percent of change.. In 980, the average annual tuition charge for a four-year public university was $80. The average annual tuition charge in 000 was $. What is the percent of change?. The United States imported,909,000 barrels of oil per day in 980. In 000, the United States imported,9,000 barrels of oil per day. What is the percent of change?. In 9, the average number of households with cable television was.%. In 000, the average number of households with cable television was 8%. What is the percent of change?. In 989, there were 8,000 licensed drivers under the age of. In 999, the total number of licensed drivers under was,8. Find the percent of change.. In 990, Atlanta, GA, failed to meet air quality standards on days. In 999, Atlanta failed to meet air quality standards on days. What is the percent of change? Find the greatest possible error and the percent error for each measurement. 8. cm cm 0. cm. in...8 g. 0.9 cm Find the minimum and maimum possible areas for rectangles with the following measurements.. 8 cm 0 cm. in. in.. 8 m m Find the minimum and maimum possible volume for a rectangular solid with the following measurements.. in. in. 8 in. 8. cm cm 8 cm 9. m m m Algebra Chapter Lesson - Practice

8 Practice -8 Finding and Estimating Square Roots Tell whether each epression is rational or irrational.. ". "00. "0.. ". "0. ".9 8. " "0.09 Use a calculator to find each square root to the nearest hundredth. 9. "0 0. ". "8.. "9.. "8.. ".8.. ".9 8. " " "0 "0. "98. Simplify each epression.. "9. "... "00 Ä. "... "9 8. ". Ä 9. " ". Ä 00 Ä. "00. "0.0. "00. ". Between what two consecutive integers is each square root?. "0 8. "9 9. " 0. "9. "0.. ".. ".. ".9 Solve the following problems. Round to the nearest tenth if necessary.. You are to put a metal brace inside a square shipping container. The formula d " gives the length of the metal brace, where is the length of the side of the container. Find the length of the brace for each container side length. a. ft b.. ft c. ft d. 8 ft. You are designing a cone-shaped storage container. Use the formula r V to find the radius of the storage container. Find the radius Å ph when V 0,000 ft and h 0 ft. 8 Lesson -8 Practice Algebra Chapter

9 Practice -9 The Pythagorean Theorem Use the triangle at the right. Find the length of the missing side to the nearest tenth. a c b. a, b, c. a 0, b, c. a, b, c. a, b, c. a 8, b, c. a, b, c 0. a 8, b, c 8. a, b, c 9 9. a, b, c 0. a, b 80, c 90. a 8, b 8, c. a 9, b, c. a, b, c. a, b, c. a 9, b, c. a 9, b, c. a, b, c 9 8. a, b, c Determine whether the given lengths are sides of a right triangle. 9. 0,, 9 0., 0,., 0,., 8,. 0,, 8., 8,..,,,,..,., ,.,.8 9..,.,. 0., 0,..,.0,...,.,.9..,.,.8..8,.,...,.,... 8., 9,,,, 8 0, Find the missing length to the nearest tenth. 9. A ladder is ft long. The ladder needs to reach to a window that is ft above the ground. How far away from the building should the bottom of the ladder be placed? 0. Suppose you are making a sail in the shape of a right triangle for a sailboat. The length of the longest side of the sail is ft. The sail is to be ft high. What is the length of the third side of the sail?. Suppose you leave your house and travel mi due west. Then you travel mi due south. How far are you from your house?. A wire is run between the tips of two poles. One pole is ft taller than the other pole. The poles are ft apart. How long does the wire need to be to reach between the two poles?. A 0-ft-long wire is used to support a television antenna. The wire is connected to the antenna ft above the ground. How far away from the base of the tower will the other end of the wire be located? Algebra Chapter Lesson -9 Practice 9