1. Do Now b = 8 x = -4 c = -5 y = 3 Solve the equation. Check you answer.

2. 11.1a homework worksheet
1 7) ) 7
3 8) ) 6
2 9) ) 9
2 10) 5
3 11) 6
4 12) 3

3. Learn to solve two-step equations.

4. Remember that a fraction bar means division

5. Example A
Solve. x -7
– 11 = 9 x -7
– 11 = 9
Add 11 to both sides. x -7
= 20 x -7
(-7)‏
= (-7)20
Multiply both sides by -7.
x = -140

6. Subtract 6 from both sides. = 15
Example A
Solve. y 5
6 +
= 21 y 5
6 +
= 21
– –6
Subtract 6 from both sides. y 5
= 15
(5)‏ y 5
= (5)15
Multiply both sides by 5.
y = 75

7. y -2
– 3 = 1 x 2 1. 2.
8 +
= 48 x 5 3.
– 31 = 19 4.
3p – 2 = -29

8. YOU TRY 1 Solve. x – 3 = 1 2 x – 3 = 1 2 +3 +3 Add 3 to both sides. x
+3 +3
Add 3 to both sides. x 2
= 4 x 2
(2)‏
= (2)4
Multiply both sides by 2.
x = 8 8

9. Subtract 8 from both sides. = 40
YOU TRY 2
Solve. y -2
8 +
= 48 y -2
8 +
= 48
– –8
Subtract 8 from both sides. y -2
= 40 y -2
= (-2)40
Multiply both sides by -2.
(-2)‏
y = -80

10. YOU TRY 3
Solve. x 5
– 31 = 19 x 5
– 31 = 19
Add 31 to both sides. x 5
= 50 x 5
Multiply both sides by 5.
(5)‏
= (5)50
x = 250

11. YOU TRY 4
Solve.
3p - 2 = -29
3p - 2 = -29
Add 2 to both sides.
3p = -27 3p 3
= -27
Divide both sides by 3.
p = -9

12. Example B
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 $ For how many days did she rent the canoe?
Let d represent the number of days she rented the canoe.
7.5d + 85 = 130
– –85
Subtract 85 from both sides.
7.5d = 45
7.5d = 45
Divide both sides by 7.5.
7.5
7.5
d = 6
Jamie rented the canoe for 6 days.

13. 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 $ For how many days did he rent the car?
Let d represent the number of days he rented the car.
20d + 25 = 165
– – 25
Subtract 25 from both sides.
20d = 140
20d = 140
Divide both sides by 20. 20 20
d = 7
Jack’s father rented the car for 7 days.

14. Solve. Check your answers. 1. 6x + 8 = 44
Lesson Quiz
Solve. Check your answers.
1. 6x + 8 = 44
2. 14y – 14 = 28 3. 4. z
x = 6
y = 3 m 7
12 =
63 = m v –8
– 6 = 8
v = –112

15. Lesson Quiz
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

16. Lesson Quiz for Student Response Systems
6. Solve
A. z = 72
B. z = 86
C. z = 90
D. z = 104

17. Lesson Quiz for Student Response Systems
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