Linear Equations Worksheet With Answer Key

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Algebra
Name ________________________________
CHAPTER 3
LINEAR EQUATIONS
Period ______ Date ____________________
Section 3.6: Solving Equations Using the Balancing Method, Day 3
SHOW ALL YOUR WORK ON A SEPARATE SHEET OF PAPER
Solve each equation:
1. 3�� − 1 = 14
2. 4�� + 5 = −23
3. 7�� − 9 = 19
4. 4�� + 9�� = 52
5. 5�� + 2�� = −77
6. 8�� − 3�� + 37 = 17
Use the distributive property to solve each equation:
7. 5 ( 6 + �� ) = 45
8. 3 ( �� − 2 ) = −18
9. 2 ( 4 − �� ) = 10
3
2
12. 4 − 5 ( 2�� − 3 ) = −1
( 4�� − 8 ) = 12
( �� − 9 ) = 8
10.
11.
4
3
13. 4 ( 2�� + 1 ) − 6�� = 18
14. 3 + 2 ( 4�� − 7 ) = 21
15. − �� + 3 ( 5�� − 3 ) = 19
Solve each proportion:
9
��
2
8
�� − 4
2
16.
=
17.
=
18.
=
6
15
��
3
11
3
3
9
6
6
2 − 5��
19.
=
20. 5 =
21.
=
4
2�� − 15
3�� − 1
5
3
In exercises 40 to 42, find and correct the error for each problem:

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