Chapter 6 Assessment Questions Name: ______

Chapter 6 Assessment Questions Name: ______

6-1 Ratios and Unit Rates

1. Find the unit rate: a car travels 676 miles in 13 hours ______

2. Shampoo A is priced at $3.79 for 12 oz. Shampoo B is priced at $4.89 for 14.5 oz. Which brand has the lower unit cost? ______

3. What is the rate in meters per second of a jetliner that is traveling at a rate of 846 km/h? ______

6-2 Proportions

1. r = ______

2. Do the two ratios form a proportion? ______

3. A microchip inspector found three defective chips in a batch containing 750 chips. At that rate, how many defective chips would there be in 10,000 chips? ______

6-3 Similar Figures and Scale Drawings

1. Find the missing length. a = ______

2. An image on a slide is similar to its projected image. The slide is 35mm wide and 21mm high. Its projected image is 85cm wide. To the nearest centimeter, how high is the image? ______cm

3. Jacques has a scale drawing of his bedroom with a scale of 1cm: 0.4m. On the drawing, the front window is 3cm from the door. What is the actual distance in the room? ______

6-4 Fractions, Decimals, and Percents

1. In one year, women made up 40% of freshmen studying computer science at a certain university. Write this percent as a decimal and a fraction in simplest form.

Decimal: ______Fraction: ______

2. In the United States, about one person in eight lives in California. To the nearest percent, what percent of people in the United States live in California? ______

3. Is this a reasonable statement: A student correctly answered 200% of the items on a test.

______

6-5 Proportions and Percents

1. 8 is 25% of ______

2. In 1950, the population of Alaska was about 128,535. That was about 19.4% of the population of Alaska in the year 2005. About how many people lived in Alaska in the year 2005? ______

3. At Pics, all posters are 30% off. At Pacs, all posters are marked 1/3 off. Which is the greater discount rate? ______

6-6 Percents and Equations

1. 3.5% of d is 0.105. What is d? ______

2. Julius writes novels and receives 12% of the price for each book sold. To the nearest cent, find the royalty Julius receives for a book price of $7.99. ______

3. Find 5.5% of 44. ______

6-7 Percent of Change

1. In the United States in the 20th century, average life expectancy increased from about 47 years to about 77 years. Find the percent of increase to the nearest percent. ______

2. Find the percent of decrease: from 6.5 to 4.8 ______

3. The average cost of a gallon of gasoline was $1.29 in 1997 and $2.96 in 2006. Find the percent of increase. ______

6-8 Markup and Discount

1. Find the markup: The cost of an item is $38. The percent of markup is 58%. ______

2. Find the discount and sale price: Boots are regularly $125 and are on sale for 30% off.

Discount: ______Sale price: ______

3. An $11 shirt is on sale for 10% off. Find the sale price.

Sale price: ______

6-9 Applications of Rational Numbers

1. A family drove 1,250 miles to a vacation spot. They drove 1/3 of the trip before dinner. After dinner, they drove 0.2 of the trip. The next day they drove 25% of the trip before lunch and drove the remaining 200 miles afterward. During which part of the trip did the family drive the farthest?

______

2. Estimate the number of musicians in the woodwind section of a 96 member orchestra. ______

3. Use ˃, ˂, or = to complete the statement.