Exercise Solve. 2x + 3 = 11

Exercise Solve. x + 1.5x + 2.5x = 10

Exercise Solve. 12 = 4(x + 2)

Example 1 A contractor charges $50 for a service call plus $60 per hour for his work. How long will he have to work to earn $350? Let w = the number of work hours. 50 + 60w = 350

Example 1 50 + 60w = 350 − 50 − 50 60w = 300 60 w = 5 hr.

Example 2 One hundred twenty feet of fence is needed to enclose a rectangular garden that is twenty feet wide. What is the length of the garden? Let x = the length. 2x + 2(20) = 120

Example 2 2x + 2(20) = 120 2x + 40 = 120 − 40 − 40 2x = 80 2 x = 40 ft.

Example 3 Corey bought six of the same kind of pastry and a loaf of bread costing $4. If the total cost was $16, what was the cost of each pastry? Let x = the cost per pastry. 6x + 4 = 16

Example 3 6x + 4 = 16 − 4 − 4 6x = 12 6 x = $2 each

d = r • t distance rate time

Example 4 Luis left his house at 9:00 AM and arrived at Marcus’s house at 9:30 AM. If it is 15 mi. to Marcus’s house, what was Luis’s average rate of speed? d = r t 15 = r 1 2

Example 4 15 = r 1 2 15 = r 2 2(15) = ( )2 r 2 30 = r r = 30 mi./hr.

Example 5 Jackie is walking from one airplane departure gate to another. She walks on a moving walkway at a rate of 6 ft./sec., and the walkway itself moves at a rate of 10 ft./sec. How long will it take her to go 160 ft.? r = 6 + 10 = 16 ft./sec. d = 160

Example 5 d = r t 160 = 16t 160 16 16t 16 = 10 sec. = t

Example Our homeroom of 24 students brought in 840 lb. of canned vegetables for the Food Drive. What was the average per student?

Example If you have $8, how may tacos can you buy at $1.50 each in addition to a $5.00 meal?

Example The total ticket sales for the play was $980. If adult tickets totaled $524, how many children’s tickets were sold at $2 each?

Example Ben charges $25 to mow a lawn. If he mows 6 lawns on Monday, how many would he have to mow on Tuesday to earn a total of $250?

Example Julia earned $7.50/hr. and Ryan earned $8.25/hr. They both worked the same number of hours and together earned a total of $110.25. How many hours did each work?

Example The painter charged $310 for materials and worked 27 hr. The total bill was $917.50. What was his hourly rate?

Example Ellen earns $6.75/hr. at the shoe store. Friday she also earned $48 in commissions. If her total for Friday was $95.25, how many hours did she work?

Example In last week’s football game, our team scored 5 touchdowns worth 7 points each and scored the rest of the points on field goals worth 3 points each. If our team won with a final score of 44-36, how many field goals did our team make?

Example A thoroughbred horse can run 1.25 mi. in approximately 2 min. Determine the average speed of the horse in feet per second.

Example After averaging 50 mi./hr. before stopping for lunch at noon, Dan traveled for 5 hr. at an average of 55 mi./hr. to complete the 450 mi. trip. At what time did Dan leave to begin his trip?