1.3: Solve Linear Equations

Hw tonight: none

HW Monday: p.21-23 (12 – 48 every other even, 68, 70)

*What is an equation?

*What are the different types of solutions you can have when solving an equation?

1.) 7x – 41 = -13

2.) 2085

4x

1.) 5w + 2 = 2w + 5

2.) 12(r + 3) = 2(r + 5) – 3r

3.) 103

1

2

1 tt

*The bill for the repair of your bicycle was $180. The cost of parts was $105. The cost of labor was $25 per hour. How many hours did the repair work take?

*You have two summer jobs. In the first job, you work 25 hours per week and earn $7.75 per hour. In the second job, you earn $6.25 per hour and can work as many hours you want. You want to earn $250 per week. Write an equation and find how many hours you must work at the second job.

1.) 2(b + 3) = 4b – 2 2.) 2x – 3 = 6x + 25

3.) 7

1

9

4

9

2

7

3 ww

1.) 0.6x + 0.5 = 2.9 2.)

3.) 3.8w + 3.2 = 2.3(w + 4)

7

1

9

4

9

2

7

3 ww

1.4: Rewrite Formulas & Equations

1.) Solve A = lw for l. Then find the length of a rectangle with a width of 50 mm and an area of 250 sq. mm.

2.) Solve A = ½ (b1 + b2)h for h.

1.) 4y + x = 24; x = 8

2.) 15x + 4y = 9; x = -3

*The formula for converting temperatures from degrees Celsius to degrees Fahrenheit is

F = 9/5C + 32. Solve the formula for C. Then find the temperature in degrees Celsius that corresponds to 50 degrees Fahrenheit.

*A tuxedo shop rents classic tuxedos for $80 and designer for $150. Write an equation that represents the shop’s revenue. The shop owner wants $60,000 in revenue during prom season. How many designer tuxedos must be rented if the number of classic tuxedos rented is 600? 450? 300?

1.) 6x + 5y = 31

2.) 9x – 6y = 63