Chapter Menu
Lesson Plan
Print document Answer Key
Name
LESSON
Date
4
Click Here
Class
Practice B
11-1 Solving Two-Step Equations
Solve. Check each answer.
1. 7x 8 36
2. 3y 7 2
3. 4a 13 19
4. 6a 4 2
5. 5k 2 6
6. 9m 14 8
v
7. 4 3 5
u
8. 5 3 1
9. 6 9 9
z
f
11. 9 4 5
e
12. 7 3 5
d
14. 8j 1 1
f
58
15. 3
10. 7 2 1
w
Solve.
13. 8 5 2
16. Two years of local Internet service costs $685, including
the installation fee of $85. What is the monthly fee?
Copyright © by Holt, Rinehart and Winston.
All rights reserved.
10
Holt Middle School Math Course 2
Chapter Menu
Lesson Plan
Print document
Practice C
LESSON
11-1 Solving Two-Step Equations
Practice B
LESSON
11-1 Solving Two-Step Equations
Solve. Check each answer.
Solve. Check each answer.
1. 7x 8 36
2. 3y 7 2
x4
y 3
4. 6a 4 2
1
k 5
v
7. 4 3 5
u
8. 5 3 1
2
3
2
m 3
v 32
u 10
f
e
12. 7 3 5
w 56
e 14
14. 8j 1 1
f
58
15. 3
n 5
2
d
Solve.
3
20
p b 7
2
10. 23 6 3
d
3
3
9. 4 9p 5
8. 43.4 7b 5.6
z 27
w
13. 8 5 2
w 98
Solve.
11. 9 4 5
f 12
w
6. 64 7 50
a 70
7. 20n 54.1 45.9
10. 7 2 1
7
8
m a
20 18
5. 35
d 196
z
9. 6 9 9
3. 8m 14 7
k 1
d
95
4. 14
6. 9m 14 8
4
2. 25k 12 13
h a8
5. 5k 2 6
a 3
1. 15h 4 6
3. 4a 13 19
f
5.9 1.8
12. 10
11. 8v 12 12
d 20
v0
f 41
Write each equation in words, and then solve the equation.
n
1
j 4
d 50
13. 7 2 10
f 9
16. Two years of local Internet service costs $685, including
the installation fee of $85. What is the monthly fee?
14. 4w 9 5
7 more than one half a number
4 times a number, minus 9,
equals 10; n 6
equals 5; w 1
$25 per month
10
Copyright © by Holt, Rinehart and Winston.
All rights reserved.
Holt Middle School Math Course 2
Reteach
LESSON
11-1 Solving Two-Step Equations
Consecutive numbers are numbers that come one after the other.
For example, 3 and 4 are consecutive whole numbers.
6 and 8 are consecutive even numbers.
7 and 9 are consecutive odd numbers.
Complete the steps to solve each equation.
If n a number, then n 1 is the next consecutive whole number
after n.
7x 3 31
3
7x 3 3
31 3
Subtract
If n an even number, then n 2 is the next consecutive even
number after n.
from both sides to undo addition.
7x 28
7x
28
7
7
Divide both sides by
7
If n an odd number, then n 2 is the next consecutive odd
number after n.
to undo multiplication.
Solve. (Hint: Let n the first number. Then write an equation for
each sum.)
x4
Check
1. The sum of two consecutive numbers is 73. What are the
numbers?
7x 3 31
7(
4
?
)3
31
28
Substitute
4
n (n 1) 73; 36 and 37
for x.
2. The sum of two consecutive numbers is 131. What are the
numbers?
3 31
?
?
31 31 n
8 4
6
2.
n
8 6
8
4
4 is a solution.
3.
8
n
12
6
n
6 • 12
6
• 6
n
Holt Middle School Math Course 2
Challenge
LESSON
11-1 Consecutive Number Search
You can solve two-step equations by undoing one operation at
a time. First undo any addition or subtraction, then undo
any multiplication or division.
1.
11
Copyright © by Holt, Rinehart and Winston.
All rights reserved.
n (n 1) 131; 65 and 66
8a 5 11
5
8a 5 11 8a 16
8a
16
8
8
72
a
w
9 2 12
4.
5
9
9
w
2 12 w
2
w
• 2
2
3
w
6
2
2
3. The sum of two consecutive even numbers is 70. What are the
numbers?
9
n (n 2) 70; 34 and 36
4. The sum of two consecutive even numbers is 158. What are the
numbers?
• 3
n (n 2) 158; 78 and 80
5. The sum of two consecutive odd numbers is 108. What are the
numbers?
Solve.
5. 4n 11 27
n4
Copyright © by Holt, Rinehart and Winston.
All rights reserved.
z
6. 7 6 3
z 63
12
Copyright © by Holt, Rinehart and Winston.
All rights reserved.
n (n 2) 108; 53 and 55
7. 3 2k 7
6. The sum of two consecutive odd numbers is 180. What are the
numbers?
n (n 2) 180; 89 and 91
k5
Holt Middle School Math Course 2
Copyright © by Holt, Rinehart and Winston.
All rights reserved.
81
13
Holt Middle School Math Course 2
Holt Middle School Math
Course 2