1. Exercise
Solve.
2x + 3 = 11

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

3. Exercise
Solve.
12 = 4(x + 2)

4. 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.
w = 350

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

6. 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

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

8. 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

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

10. d = r • t
distance
rate
time

11. 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

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

13. 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 = = 16 ft./sec.
d = 160

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

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

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

17. 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?

18. 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?

19. 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 $ How many hours did each work?

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

21. 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?

22. 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?

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

24. 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?