1. 11-1 Solving Two-Step Equations Do Now 1. 9b + 8 = 80 3. –10 = 20 + 6c Solve the equation. Check you answer. 4. -5y – 3 = -18 2. - 8 + 2x = -16 b = 8 x = -4 c = -5y = 3

2. 11-1 Solving Two-Step Equations Learn to solve two-step equations.

3. 11-1 Solving Two-Step Equations Remember that a fraction bar means division

4. 11-1 Solving Two-Step Equations Solve. Example A x7x7 – 11 = 9 x7x7 x7x7 = 20 x7x7 = (7)20 (7) ‏ x = 140 Add 11 to both sides. Multiply both sides by 7. +11 +11

5. 11-1 Solving Two-Step Equations Solve. Example A 6 + y5y5 = 21 y5y5 6 + – 6 –6 y5y5 = 15 y5y5 = (5)15(5) ‏ y = 75 Subtract 6 from both sides. Multiply both sides by 5.

6. 11-1 Solving Two-Step Equations – 3 = 1 x 2 8 + y2y2 = 48 x5x5 – 31 = 19 1.2.2. 3.3.4.4.3p – 2 = -29

7. 11-1 Solving Two-Step Equations YOU TRY 1. Solve – 3 = 1 x 2

8. 11-1 Solving Two-Step Equations YOU TRY 2 Solve. 8 + y2y2 = 48 y2y2 8 + – 8 –8 y2y2 = 40 y2y2 = (2)40 (2) ‏ y = 80 Subtract 8 from both sides. Multiply both sides by 2.

9. 11-1 Solving Two-Step Equations YOU TRY 3 Solve. x5x5 – 31 = 19 x5x5 +31 +31 x5x5 = 50 x5x5 = (5)50 (5) ‏ x = 250 Add 31 to both sides. Multiply both sides by 5.

10. 11-1 Solving Two-Step Equations Jamie rented a canoe while she was on vacation. She paid a flat rental fee of $85.00, plus $7.50 each day. Her total cost was $130.00. For how many days did she rent the canoe? Example B Let d represent the number of days she rented the canoe. 7.5d + 85 = 130 – 85 –85 7.5d = 45 7.5 d = 6 Jamie rented the canoe for 6 days. Subtract 85 from both sides. Divide both sides by 7.5.

11. 11-1 Solving Two-Step Equations YOU TRY Jack’s father rented a car while they were on vacation. He paid a rental fee of $20.00 per day. He paid $25.00 for mileage and his total bill for renting the car was $165.00. For how many days did he rent the car? Let d represent the number of days he rented the car. 20d + 25 = 165 – 25 – 25 20d = 140 20 d = 7 Jack’s father rented the car for 7 days. Subtract 25 from both sides. Divide both sides by 20.

12. 11-1 Solving Two-Step Equations Lesson Quiz Solve. Check your answers. 1. 6x + 8 = 44 2. 14y – 14 = 28 3. 4. z y = 3 x = 6 63 = m v = –112 m7m7 12 = + 3 – 6 = 8 v –8

13. 11-1 Solving Two-Step Equations 5. Last Sunday, the Humane Society had a 3-hour adoption clinic. During the week the clinic is open for 2 hours on days when volunteers are available. If the Humane Society was open for a total of 9 hours last week, how many weekdays was the clinic open? 3 days Lesson Quiz

14. 11-1 Solving Two-Step Equations 6. Solve A. z = 72 B. z = 86 C. z = 90 D. z = 104 Lesson Quiz for Student Response Systems

15. 11-1 Solving Two-Step Equations 7. A taxi charges an airport pickup fee of $3 plus $1.50 for each mile traveled. If a taxi ride cost John $36, how many miles did John travel in the taxi? A. 21 miles B. 22 miles C. 31 miles D. 32 miles Lesson Quiz for Student Response Systems