Pre Ap Test Review 3.2. Math Vocabulary. A constant rate of chanÿe is a rate that describes how one quantity

Transcription

1 Pre Ap Test Review 3.2 Math Vocabulary A constant rate of chanÿe is a rate that describes how one quantity changes in relation to another. A percent is a ratio that compares a number to 100 The coordinate plane is a type of grid that is formed when two number lines intersect at their zero points. Fractions that are used when estimating part of a whole, benchmark fractions Percents that are used when estimating part of a whole, benchmark percents

2 Naiÿre Period Date th grade PreA _ Math Test Review on (Convert Between Systems, Graph Proportional Relationships & Constant Rate of Change); Chapter 4 Lesson 7, Chapter 5 Lessons 1-5. This is lust a sample of what is on the tes:. Anvskills which we have done this vear may be on the test. Handed out Wednesdav!1/!2. Review is duÿ November 20, Test is Mondav Nov. 24. All work should be shown and attached if on aÿarate sheet of paper. _Highlight your final answer! Lesson 7 ProblemoSolving Practice Convert Measurement Units 1. Theaverage weight of a baby at birth is 7 pounds. How rnny ounces is the average weight of a baby? / 2. The height of Niagara Falls is 56 meters t-iow many kilometers high is Niagara Falls? 3. The gasoline tank of a minivan holds 18 gallons. How mar.yquarts can the tanÿÿ,ÿ 4. Cell phones can weigh as little as 56 grams. How many kilograms can the cell phone weigh? Convert Between Systems " 1. Leola ran in a 10-kilometer race. About how many miles did she run? g g; \ÿ@ÿ'}iÿiiÿ-,,@ iÿx;, ÿÿ ÿ4 I CA... ÿ> 2. Dallison cooked a 5-pound roast for supper. What is the estimated mass in grams?4 tÿ,.ÿxÿ:ÿ:ÿ {ÿ...._ÿ..,... ÿ ÿ ÿ ÿ ÿ,--ÿ ÿ 3. Nylda swam the length of her swimming pool twice. The dimensions of her pool are showb below. About how many meters &d she swim. ÿ ÿ,ÿ,oÿ> ÿ;t ÿ 4. Beryl made 5 gallons of lemonade for a gathering. AbOUo,ÿt how many liters of lemonade did 21ft

3 NAME Graph Propordonal Reladonships DATE PERIOD 1. Rachel baked 3 cakes in 2 hours, 4 cakes in 3 hours, and 5 cakes in 4 hours. Determine whether the number of cakes baked is proportional to the number of hours. 2. It rained 2 inches in one hour, then after two hours, it had rained a total of 3 inches. After four hours, it had rained a total of 5 inches. Determine whether the number of inches of rainfall is proportional to the number of hours. }-- I The number of cakes is not proportional to the number of hours because the graph does not pass through the origin. Constant Rate of Change x x ÿ... l The number of inches of rainfall is not proportional to the number of hours because the graph does not pass through the origin. 1, At 2 P.M., the level of the water in the pool was 10 feet. At 6 P.M., the level of water was 2 feet. Determine the constant rate of change of the water. Decreasing 2 feet per hour 2. JoAnne is depositing money into a bank account. After 3 months there is $150 in the account. After 6 months, there is $300 in the account. Determine the constant rate of change of the account. Increasing by $50 per month,'k 5. The graph represents how far Toby biked given the number of weeks he has been bildng, Determine the constant rate of change. Biking I I 30 --ÿ a :ÿ ÿ-- 6. Determine the constant rate of change. Months Length (ill.) inches per month Weeks 10 miles per week

4 NAME Lesson! Problem Solvint Percents and Fractions DATE Practice PERIOD 1. The Titanic Toy Company has a 4% return rate on its products. Write this percent as a fraction in simplest form. 2. There are 4 trombones out of 25 instruments in the Landers town band. What percent of the instruments are trombones2 ÿ, 3. Cynthia's favorite clothing store is having a 30% off sale. What fraction represents 30%? d 4. In Janie's class, 7 out of 25 students have blue eyes. What penÿf the class has blue eyes? + 7. The percent of students who live within different ranges of distances from the school was recorded in a table. What fraction of the students live less than one mile fi'om the school? '" Distance Percent from School Of Students Less than 1 mile 15% 1-5 miles 68% More than 5 miles 17% 8. The local bowling team won 13 out'of20 of their games this year. What percent of their games did the J Course 1. Chapter 5 Apply Proportions to Percent

5 NANE DATE PERIOD Lesson 2 Problem=Solving Practice Percents and Decimals 1. According to the U.S. Census, 76% of U.S. workers commute to work by driving alone. Express 76% as a decimal. 2. A player's batting average was 0.29 rounded to the nearest hundredth. Express 0.29 as a percent. j,j / 3. In a recent U.S. midterm election, 39% of eligible adults voted. What is 39% written as a decimal? 4. In a recent season, Jason Kidd of the Dallas Mavericks had a field goal average of 0.43 rounded to the nearest hundredth. What is 0.43 written as a percent? 0 --i 5. When asked to choose their favorite sport, 27% of U.S. adults who follow sports selected professional football. What decimal is equivalent to 27%? %., -,, 6. The table shows the percent of students in the sixth grade who chose each kind of drink as their favorite. Express the percent of students who chose teaas a decimal. Tea Cocoa Water Milk. Juice of Votes ',',.! 22% 5% 18% 24% 31%!S!ÿ,ÿÿ ÿ C')ÿLÿ

6 NAME DATE PERIOD Lesson 3 Problem-Solving Practice Percents Greater Than 100% and Percents Less Than 1% 1. Kilroy's Web site business has increased every year for the last 3 years. Express the percent it increased during the second year as a decimal and as a fraction in lowest terms. 2. Jocelyn expects her new software company to increase 3. its sales next year 2 ÿ times their present value. Express this increase as a percent. First 148% ÿ3 Second! 15%, ÿ t ÿ ÿ/ Third 186% ÿ ÿ -, ) /-'o 4 lot> 3. City records showed that 0.8% of new homes had no access to elech'icity. Express this percent as a decimal and as a fraction in simplest form. 4. Berto got a puppy 8 weeks ago. In this time, the puppy's weight increased 215%. Exprÿsthis percent as a decimal and as a fraction. 5. The Quality Assurance depmÿment at a gear company found that there were3 defective gears for every 500 prodticed. Express this as a fraction and as a percent. 6. Estelle's pharmacist said that'the medicine Estelle was taking contained no more than s-ÿ gram of impurities per gram of total weight. Express this fraction as a percen. OLÿj) ;3., co0 Course 1, Chapter 5 Apply Proportions to Percent

7 NAME DATE PERIOD Lesson 4 Problem-Solving Practice Estimate Using Benchmark Percents - 1. The table shows how the 215 sixth-grade students at Westside School get to school. About how many of the sixth-grade students walk to school? 2. In a recent regular season, the WNI3A Houston Comets won 54.76% of their games. They had 42 games in their regular season. About how many games did they win? Bus 56% Car 20% Walk 3. Tlÿe sales tax rate in Lacon is 9%. About how much tax would you pay on an item that costs $61? 4. The concession stand at a football game served 178 customers. Of those, about 52% bought a hot dog. About how many customers bought a hot dog? Lesson 3 ProblemoSoiving Practice Percents Greater Than "i00% and Percents Less Than "1% 1. Kilroy's Web site business has increased every year for the last 3 years. Express the percent it increased during the second year as a decimal and as a fraction in lowest terms. iol 5% 2. Jocelyn expects her new software company to increase its sales next year 2 ÿ times their present value. Express this india percent. First 148% Second 115% Third 186%

8 NAME Lesson 5 Problem SoJving Find the Part of a Whole DATE Practice PERIOD The results of a survey about what 432 students would like as a career are shown below. Use the graph to answer Exercises 1-3. Round to the nearest whole number if necessary. Fuÿre Careers 1. How many of the students want to be teachers? 2. How many students want to work as doctors or nurses? -'d3 3. How many students did not want to be lawyers? 4. The school took in $875 at the bake -sale fundraiser. Sixty-eight percent of the money came from cupcake sales. How much money did the school make selling cupcakes? 5. Eduardo spent 35% of his time at the theme park on roller coasters. If he was there for 8 hours, how much time did he spend on roller coasters? 6. Jesse was in the lead for 75% of the laps durir)g the track race. If the race lasted 12 laps, how many laps did Jesse lead? Course 1. Chapter 5 Apply Proportions to Percent