More Related Content
Similar to Practice b 2 step equations
Similar to Practice b 2 step equations (20)
Practice b 2 step equations
- 1. MSM07G7_RESBK_Ch12_003_010.pe 1/29/06 8:44 PM Page 4
Name Date Class
LESSON Practice B
12-1 Solving Two-Step Equations
Solve. Check each answer.
1. 7x Ψ 8 β«63 Ψβ¬ 2. Ψ3y Ψ 7 β«2 Ψβ¬ 3. 4a Ψ 13 β«91 Ψβ¬
xβ«4Ψβ¬ β«3Ψ Ψβ¬ aβ«8Ψβ¬
4. 6a Ψ 4 β«2Ψ Ψβ¬ 5. 5k Ψ 2 β«6 Ψβ¬ 6. 9m Ψ 14 β«8Ψ Ψβ¬
1 4 2
a β« Ψβ¬αα
3
k β« Ψβ¬αα
5
m β« Ψβ¬αα
3
Solve.
v u z
7. αα Ψ 3 β«5 Ψβ¬
4
8. αα Ψ 3 β«1 Ψβ¬
5
9. 6 Ψ αα β«9 Ψβ¬
9
v β«23 Ψβ¬ u β«01Ψ Ψβ¬ z β«72 Ψβ¬
f w e
10. Ψ7 Ψ αα β«1Ψ Ψβ¬
2
11. 9 Ψ αα β«5Ψ Ψβ¬
4
12. αα Ψ 3 β«5Ψ Ψβ¬
7
f β«21 Ψβ¬ w β«65Ψ Ψβ¬ e β«41Ψ Ψβ¬
d u f
13. Ψ8 Ψ αα β«2 Ψβ¬
5
14. αα Ψ 3 β«6 Ψβ¬
5
15. αα Ψ 5 β«8 Ψβ¬
Ψ3
d β«05 Ψβ¬ u Ο 15 f β«9Ψ Ψβ¬
16. Two years of local Internet service costs $685, including
the installation fee of $85. What is the monthly fee?
$25 per month
Copyright Β© by Holt, Rinehart and Winston.
All rights reserved.
4 Holt Mathematics
- 2. LESSON Practice A LESSON Practice B
12-1 Solving Two-Step Equations 12-1 Solving Two-Step Equations
Solve each equation. Cross out each number in the box that Solve. Check each answer.
matches a solution.
1. 7x Ψ 8 β«63 Ψβ¬ 2. Ψ3y Ψ 7 β«2 Ψβ¬ 3. 4a Ψ 13 β«91 Ψβ¬
6 Ψ8 Ψ4 Ψ6 Ψ18 Ψ3 2 4 8 3 18
xβ«4Ψβ¬ y β«3Ψ Ψβ¬ aβ«8Ψβ¬
1. 5x Ψ 8 β«32 Ψβ¬ 2. Ψ2p Ψ 4 β«2 Ψβ¬ 3. 6a Ψ 11 β«31 Ψβ¬
4. 6a Ψ 4 β«2Ψ Ψβ¬ 5. 5k Ψ 2 β«6 Ψβ¬ 6. 9m Ψ 14 β«8Ψ Ψβ¬
xβ«3Ψβ¬ p β«3Ψ Ψβ¬ aβ«4Ψβ¬ 1 4 2
a β« Ψβ¬αα
3
k β« Ψβ¬αα
5
m β« Ψβ¬αα
3
k
4. 4n Ψ 12 β«4 Ψβ¬ 5. 9g Ψ 2 β«02 Ψβ¬ 6. αα Ψ 8 β«5 Ψβ¬
6
Solve.
v u z
7. αα Ψ 3 β«5 Ψβ¬
4
8. αα Ψ 3 β«1 Ψβ¬
5
9. 6 Ψ αα β«9 Ψβ¬
9
n β«4Ψ Ψβ¬ gβ«2Ψβ¬ k β«81Ψ Ψβ¬
s c a
7. αα Ψ 4 β«2 Ψβ¬
3
8. αα Ψ 5 β«1 Ψβ¬
2
9. 9 Ψ αα β«8 Ψβ¬
6
v β«23 Ψβ¬ u β«01Ψ Ψβ¬ z β«72 Ψβ¬
f w e
10. Ψ7 Ψ αα β«1Ψ Ψβ¬
2
11. 9 Ψ αα β«5Ψ Ψβ¬
4
12. αα Ψ 3 β«5Ψ Ψβ¬
7
s β«81 Ψβ¬ c β«8Ψ Ψβ¬ a β«6Ψ Ψβ¬
Solve. Check each answer.
d f β«21 Ψβ¬ w β«65Ψ Ψβ¬ e β«41Ψ Ψβ¬
10. 3v Ψ 12 β«51 Ψβ¬ 11. 8 Ψ 5x β«2Ψ Ψβ¬ 12. αα Ψ 9 β«3Ψ Ψβ¬
4 d u f
13. Ψ8 Ψ αα β«2 Ψβ¬
5
14. αα Ψ 3 β«6 Ψβ¬
5
15. αα Ψ 5 β«8 Ψβ¬
Ψ3
vβ«9Ψβ¬ x β«2Ψ Ψβ¬ d β«42 Ψβ¬
d β«05 Ψβ¬ u Ο 15 f β«9Ψ Ψβ¬
13. An electrician charges $50 to come to your house. He also charges $25 for each
hour he spends at your house. The electrician charges you a total of $125. How
many hours did he spend at your house? 16. Two years of local Internet service costs $685, including
the installation fee of $85. What is the monthly fee?
3 hours $25 per month
Copyright Β© by Holt, Rinehart and Winston.
All rights reserved. 3 Holt Mathematics Copyright Β© by Holt, Rinehart and Winston.
All rights reserved. 4 Holt Mathematics
LESSON Practice C LESSON Reteach
12-1 Solving Two-Step Equations 12-1 Solving Two-Step Equations
Solve. Check each answer. You can solve two-step equations by undoing one operation at
a time. First undo any addition or subtraction, then undo
1. 15h Ψ 4 β«6 Ψβ¬ 2. 25k Ψ 12 β«31Ψ Ψβ¬ 3. 8m Ψ 14 β«7Ψ Ψβ¬
any multiplication or division.
2 7 Complete the steps to solve each equation.
h β« Ψβ¬αα m β« Ψβ¬αα
3 k β«1Ψ Ψβ¬ 8 1. 7x Ψ 3 β«13 Ψβ¬
4. Ψ5m Ψ 6 β«48 Ψβ¬ 5. 3f Ψ 8 β«82 Ψβ¬ 6. 5z Ψ 6 β«02Ψ Ψβ¬ 7x Ψ 3 Ψ 3 β«Ψ 13 Ψβ¬ 3 Subtract 3 from both sides to undo addition.
7x β«82 Ψβ¬
2 1 7x 28 7
αα β« Ψβ¬α α
f β«6 Ψβ¬α α Z β«5Ψ Ψβ¬αα 7 7
Divide both sides by to undo multiplication.
m β«81Ψ Ψβ¬ 3 5
xβ«4Ψβ¬
Solve. Check
d a 3 3
7. αα Ψ9 β«5 Ψβ¬ 8. αα Ψ 20 β«81 Ψβ¬ 9. αα Ψ 9p β« Ψ Ψβ¬αα 7x Ψ 3 β«13 Ψβ¬
14 35 4 5
7( 4 ) Ψ 3 β«13 Ψβ¬
?
Substitute 4 for x.
3 28 Ψ 3 β«13 Ψβ¬
p β« Ψβ¬αα
?
d β«691 Ψβ¬ a β«07Ψ Ψβ¬ 20
31 β«ί 13 Ψβ¬
?
4 is a solution.
2 d 2 1 f 1 2 v
10. Ψ2αα Ψ αα β« Ψβ¬αα
3 6 3
11. Ψαα Ψ αα β« Ψβ¬αα 12. Ψα β« Ψ 6 Ψβ¬α3
αα
3
α
2.
n
αα Ψ 8 β«4 Ψβ¬ 3. 8a Ψ 5 β«11 Ψβ¬ 4.
w
9 Ψ αα β«21 Ψβ¬
4 8 2 - 6 2
n w
αα Ψ 8 Ψ 8 β«Ψ 4 Ψβ¬ 8 8a Ψ 5 Ψ 5 β«Ψ 11 Ψβ¬ 5 9Ψ 9 Ψ αα β«Ψ 21 Ψβ¬ 9
6 2
n 16 w 3
αα β«21 Ψβ¬ 8a β«Ψβ¬ αα β«Ψβ¬
d β«02 Ψβ¬ fβ«6Ψβ¬ v β«02 Ψβ¬ 6
n 8a 16
2
w
6 β’ αα β«21 β’ 6 Ψβ¬
Ξ Ξ
6
αα β« Ψβ¬αα
8 8
2 β’ αα β«Ψβ¬
Ξ Ξ
2
2 β’ 3
Translate each equation into words, and then solve the equation. nβ«Ψβ¬ 72 aβ«Ψβ¬ 2 wβ«Ψβ¬ 6
n
13. 7 Ψ αα β«01 Ψβ¬
2
14. 4w Ψ 9 β«5Ψ Ψβ¬
7 more than one half a number 4 times a number, minus 9,
Solve.
equals 10; n β«6 Ψβ¬ equals Ψ5; w β«1 Ψβ¬ 5. 4n Ψ 11 β«72 Ψβ¬
z
6. αα Ψ 6 β«3 Ψβ¬ 7. 3 Ψ 2k β«7Ψ Ψβ¬
7
15. A taxi charges $1.50 plus a fee of $0.60 for each mile traveled. If a ride costs
$5.40, how many miles was the ride?
1
nβ«4Ψβ¬ z β«36 Ψβ¬ kβ«5Ψβ¬
6αα miles
2
Copyright Β© by Holt, Rinehart and Winston.
All rights reserved. 5 Holt Mathematics Copyright Β© by Holt, Rinehart and Winston.
All rights reserved. 6 Holt Mathematics
Copyright Β© by Holt, Rinehart and Winston.
All rights reserved. 60 Holt Mathematics
