Train Speeds. A Central Railway freight train leaves a station and travels due north at

Solve.4x + 5 = 21

Solve.2y - 1 = 3

Solve.23 - 2 5 x = - 2 5 x + 23

Solve.6 5 y + 3 = 3 10

Solve.4x + 3 = 0

Solve.3x - 16 = 0

Solve.3 - x = 12

Solve.4 - x = -5

Solve.3 - 1 4x = 3 2

Solve.10x - 3 = 8 + 10x

Solve.11 - 4x = -4x + 9 11

Solve.8 - 2 9 x = 5 6

Solve.8 = 5x - 3

Solve.9 = 4x - 8

Solve.2 5 y - 2 = 1 3

Solve.-x + 1 = 1 - x

Solve.y + 1 = 2y - 7

Solve.5 - 4x = x - 13

Solve.2x + 7 = x + 3

Solve.5x - 4 = 2x + 5

Solve.3x - 5 = 2x + 1

Solve.4x + 3 = 2x - 7

Solve.4x - 5 = 7x - 2

Solve.5x + 1 = 9x - 7

Solve.5x - 2 + 3x = 2x + 6 - 4x

Solve.5x - 17 - 2x = 6x - 1 - x

Solve.713x + 62 = 11 - 1x + 22

Solve.415y + 32 = 312y - 52

Solve.31x + 12 = 5 - 213x + 42

Solve. 413x + 22 - 7 = 31x - 22

Solve.21x - 42 = 3 - 512x + 12

Solve.312x - 52 + 4 = 214x + 32

Foreign Students in the United States. In the 20092010 school year in the United States, there were 128,000 students from China. This number is 22% more than the number of students from India. (Source: Institute of International Education) How many foreign students were from India?

Fuel Economy. The Toyota Prius gets 44 miles per gallon (mpg) overall. The Hummer H2 gets 11 mpg less than one-half of the milesper-gallon rate for the Toyota Prius. (Source: Consumer Reports, April 2010) Find the milesper-gallon rate for the Hummer H2.

Olive Oil. It is estimated that 710,000 metric tons of olive oil were consumed in Italy in 20092010. This is 60,000 metric tons more than 2.5 times the amount consumed in the United States during the same time period. (Source: International Olive Council) Find the amount of olive oil consumed in the United States in 20092010.

Salary Comparison. The average salary of a landscape architect for the federal government is $80,830 per year. This is about 38.5% higher than the yearly salary of a private-sector landscape architect. (Source: U.S. Bureau of Labor Statistics) Find the salary of a private-sector landscape architect.

Ocean Depth. The average depth of the Pacific Ocean is 14,040 ft. This is 8890 ft less than the sum of the average depths of the Atlantic Ocean and the Indian Ocean. The average depth of the Indian Ocean is 272 ft less than four-fifths of the average depth of the Atlantic Ocean. (Source: Time Almanac, 2010) Find the average depth of the Indian Ocean. Pacific Ocean 14,040 ft Atlantic Ocean Indian Ocean

Where the Textbook Dollar Goes. Of each dollar spent on textbooks at college bookstores, 22.3 cents goes to the college store for profit, store operations, and personnel. On average, a college student at a four-year college spends $667 per year for textbooks. (Source: National Association of College Stores) How much of this expenditure goes to the college store?

Vehicle Curb Weight. The total curb weight of a Toyota Tundra truck, a Ford Mustang car, and a Smart For Two car is 11,150 lb. The weight of a Mustang is 5 lb less than the weight of two Smart For Two cars. The Tundra weighs 2135 lb more than the Mustang. (Source: Consumer Reports, April 2010) What is the curb weight of each vehicle? Total: 11,150 lb

Nutrition. A slice of carrot cake from the popular restaurant The Cheesecake Factory contains 1560 calories. This is three-fourths of the average daily calorie requirement for many adults. (Source: The Center for Science in the Public Interest) Find the average daily calorie requirement for these adults.

Television Viewers. In a recent week, the television networks CBS, ABC, and NBC together averaged a total of 29.1 million viewers. CBS had 1.7 million more viewers than ABC, and NBC had 1.7 million fewer viewers than ABC. (Source: Nielsen Media Research) How many viewers did each network have?

Nielsen Ratings. Nielsen Media Research surveys TV-watching habits and provides a list of the 20 most-watched TV programs each week. Each rating point in the survey represents 1,102,000 households. One week 60 Minutes had a rating of 11.0. How many households did this represent?

Amount Borrowed. Kendal borrowed money from her father at 5% simple interest to help pay her tuition at Wellington Community College. At the end of 1 year, she owed a total of $1365 in principal and interest. How much did she borrow?

Amount of an Investment. Khalid makes an investment at 4% simple interest. At the end of 1 year, the total value of the investment is $1560. How much was originally invested?

Sales Commission. Ryan, a consumer electronics salesperson, earns a base salary of $1500 per month and a commission of 8% on the amount of sales he makes. One month Ryan received a paycheck for $2284. Find the amount of his sales for the month.

Commission vs. Salary. Juliet has a choice between receiving a monthly salary of $1800 from Furniture by Design or a base salary of $1600 and a 4% commission on the amount of furniture she sells during the month. For what amount of sales will the two choices be equal?

Hourly Wage. Soledad worked 48 hr one week and earned a $442 paycheck. She earns time and a half (1.5 times her regular hourly wage) for the number of hours she works in excess of 40. What is Soledads regular hourly wage?

Cab Fare. City Cabs charges a $1.75 pickup fee and $1.50 per mile traveled. Diegos fare for a cross-town cab ride is $19.75. How far did he travel in the cab?

Angle Measure. In triangle ABC, angle B is five times as large as angle A. The measure of angle C is 2 less than that of angle A. Find the measures of the angles. (Hint: The sum of the angle measures is 180.)

Angle Measure. In triangle ABC, angle B is twice as large as angle A. Angle C measures 20 more than angle A. Find the measures of the angles.

Test-Plot Dimensions. Morgans Seeds has a rectangular test plot with a perimeter of 322 m. The length is 25 m more than the width. Find the dimensions of the plot.

Garden Dimensions. The children at Tiny Tots Day Care planted a rectangular vegetable garden with a perimeter of 39 m. The length is twice the width. Find the dimensions of the garden.

Soccer-Field Dimensions. The width of the soccer field recommended for players under the age of 12 is 35 yd less than the length. The perimeter of the field is 330 yd. (Source: U.S. Youth Soccer) Find the dimensions of the field.

Poster Dimensions. Marissa is designing a poster to promote the Talbot Street Art Fair. The width of the poster will be two-thirds of its height, and its perimeter will be 100 in. Find the dimensions of the poster.

Water Weight. Water accounts for 55% of a womans weight (Source: ga.water.usgs.gov/edu). Lily weighs 135 lb. How much of her body weight is water?

Water Weight. Water accounts for 60% of a mans weight (Source: ga.water.usgs.gov/edu). Jake weighs 186 lb. How much of his body weight is water?

Train Speeds. A Central Railway freight train leaves a station and travels due north at a speed of 60 mph. One hour later, an Amtrak passenger train leaves the same station and travels due north on a parallel track at a speed of 80 mph. How long will it take the passenger train to overtake the freight train?

Distance Traveled. A private airplane leaves Midway Airport and flies due east at a speed of 180 km>h. Two hours later, a jet leaves Midway and flies due east at a speed of 900 km>h. How far from the airport will the jet overtake the private plane?

Traveling Upstream. A kayak moves at a rate of 12 mph in still water. If the rivers current flows at a rate of 4 mph, how long does it take the boat to travel 36 mi upstream?

Traveling Downstream. Angelos kayak travels 14 km>h in still water. If the rivers current flows at a rate of 2 km>h, how long will it take him to travel 20 km downstream?

Flying into a Headwind. An airplane that travels 450 mph in still air encounters a 30-mph headwind. How long will it take the plane to travel 1050 mi into the wind?

Flying with a Tailwind. An airplane that can travel 375 mph in still air is flying with a 25-mph tailwind. How long will it take the plane to travel 700 mi with the wind?

Investment Income. Erica invested a total of $5000, part at 3% simple interest and part at 4% simple interest. At the end of 1 year, the investments had earned $176 interest. How much was invested at each rate?

Student Loans. Dimitris two student loans total $9000. One loan is at 5% simple interest and the other is at 6% simple interest. At the end of 1 year, Dimitri owes $492 in interest. What is the amount of each loan?

Networking Sites. In February 2011, facebook.com had 134,078,221 unique visitors. This number of visitors was 51,604,956 less than the total number of visitors to YouTube.com and amazon.com. The number who visited YouTube.com was 42,826,225 more than the number who visited amazon.com. (Source: lists. compete.com) Find the number of visitors to YouTube.com and to amazon.com.

Calcium Content of Foods. Together, one 8-oz serving of plain nonfat yogurt and one 1-oz serving of Swiss cheese contain 676 mg of calcium. The yogurt contains 4 mg more than twice the calcium in the cheese. (Source: U.S. Department of Agriculture) Find the calcium content of each food.

NFL Stadium Elevation. The elevations of the 31 NFL stadiums range from 3 ft at MetLife Stadium in East Rutherford, New Jersey, to 5210 ft at Sports Authority Field at Mile High in Denver, Colorado. The elevation of Sports Authority Field at Mile High is 247 ft higher than seven times the elevation of Lucas Oil Stadium in Indianapolis, Indiana. What is the elevation of Lucas Oil Stadium?

Public Libraries. There is a total of 1525 public libraries in New York and Wisconsin. There are 151 more libraries in New York than twice the number in Wisconsin. (Source: Institute of Museums and Library Services) Find the number of public libraries in New York and in Wisconsin.

Source of Drinking Water. In the Dominican Republic, factory-bottled water is the primary source of drinking water for 67% of the urban population (Source: National Geographic, April 2010). In 2009, the population of the Dominican Republic was 9,650,054, of which 66.8% was urban. For how many in the urban population of the Dominican Republic was bottled water the primary source of drinking water?

Volcanic Activity. A volcano that is currently about one-half mile below the surface of the Pacific Ocean near the Big Island of Hawaii will eventually become a new Hawaiian island, Loihi. The volcano will break the surface of the ocean in about 50,000 years. (Source: U.S. Geological Survey) On average, how many inches does the volcano rise in a year?

Find the zero of the linear function.f 1x2 = x + 5

Find the zero of the linear function.f 1x2 = 5x + 20

Find the zero of the linear function. 1x2 = -2x + 11

Find the zero of the linear function.f 1x2 = 8 + x

Find the zero of the linear function.f 1x2 = 16 - x

Find the zero of the linear function.f 1x2 = -2x + 7

Find the zero of the linear function.f 1x2 = x + 12

Find the zero of the linear function.f 1x2 = 8x + 2

Find the zero of the linear function.f 1x2 = -x + 6

Find the zero of the linear function.f 1x2 = 4 + x

Find the zero of the linear function.f 1x2 = 20 - x

Find the zero of the linear function.f 1x2 = -3x + 13

Find the zero of the linear function.f 1x2 = 2 5x - 10

Find the zero of the linear function.f 1x2 = 3x - 9

Find the zero of the linear function.f 1x2 = -x + 15

Find the zero of the linear function.f 1x2 = 4 - x

In Exercises 8792, use the given graph to find each of the following: (a) the x-intercept and (b) the zero of the function.

In Exercises 8792, use the given graph to find each of the following: (a) the x-intercept and (b) the zero of the function.

In Exercises 8792, use the given graph to find each of the following: (a) the x-intercept and (b) the zero of the function.

In Exercises 8792, use the given graph to find each of the following: (a) the x-intercept and (b) the zero of the function.

In Exercises 8792, use the given graph to find each of the following: (a) the x-intercept and (b) the zero of the function.

In Exercises 8792, use the given graph to find each of the following: (a) the x-intercept and (b) the zero of the function.

Write a slopeintercept equation for the line containing the point 1-1, 42 and parallel to the line 3x + 4y = 7.

Write an equation of the line containing the points 1-5, 42 and 13, -22.

Find the distance between 12, 22 and 1-3, -102.

Find the midpoint of the segment with end points 1 - 1 2, 2 5 2 and 1 - 3 2, 3 5 2.

Given that f 1x2 = x x - 3 , find f 1-32, f 102, and f 132.

Find the slope and the y-intercept of the line with the equation 7x - y = 1 2.

State whether each of the following is a linear function.f 1x2 = 7 - 3 2 x

State whether each of the following is a linear function.f 1x2 = 3 2x + 5

State whether each of the following is a linear function.f 1x2 = x2 + 1

State whether each of the following is a linear function. f 1x2 = 3 4 x - 12.422

Solve.2x - 5x - 33x - 16x + 5246 = 4x - 1

Solve.14 - 233 + 51x - 124 = 35x - 431 + 612 - x246

Packaging and Price. Dannon recently replaced its 8-oz cup of yogurt with a 6-oz cup and reduced the suggested retail price from 89 cents to 71 cents (Source: IRI). Was the price per ounce reduced by the same percent as the size of the cup? If not, find the price difference per ounce in terms of a percent.

Bestsellers. One week 10 copies of the novel The Last Song by Nicholas Sparks were sold for every 7.9 copies of David Baldaccis Deliver Us from Evil that were sold (Source: USA Today Best-Selling Books). If a total of 10,919 copies of the two books were sold, how many copies of each were sold?

Running vs. Walking. A 150-lb person who runs at 6 mph for 1 hr burns about 720 calories. The same person, walking at 4 mph for 90 min, burns about 480 calories. (Source: FitSmart, USA Weekend, July 1921, 2002) Suppose a 150-lb person runs at 6 mph for 75 min. How far would the person have to walk at 4 mph in order to burn the same number of calories used running?