Linear Equations Worksheet With Answer Key Page 3
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5Algebra
Answers
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
3�� − 1 + 1 = 14 + 1
4�� + 5 − 5 = −23 − 5
7�� − 9 + 9 = 19 + 9
3�� = 15
4�� = −28
7�� = 28
3��
15
4��
−28
7��
28
=
=
=
3
3
4
4
7
7
�� = 5
�� = −7
�� = 4
4. 4�� + 9�� = 52
5. 5�� + 2�� = −77
6. 8�� − 3�� + 37 = 17
( 4 + 9 ) �� = 52
( 5 + 2 ) �� = −77
( 8 − 3 ) �� + 37 = 17
13�� = 52
7�� = −77
5�� + 37 = 17
13��
52
7��
−77
5�� + 37 − 37 = 17 − 37
=
=
7
7
13
13
5�� = −20
�� = 4
�� = −11
5��
−20
=
5
5
�� = −4
Use the distributive property to solve each equation:
7. 5 ( 6 + �� ) = 45
9. 2 ( 4 − �� ) = 10
8. 3 ( �� − 2 ) = −18
5 ∙ 6 + 5 ∙ �� = 45
8 − 2�� = 10
3�� − 6 = −18
30 + 5�� = 45
−8 + 8 − 2�� = 10 − 8
3�� − 6 + 6 = −18 + 6
30 − 30 + 5�� = 45 − 30
−2�� = 2
3�� = −12
−2��
2
5�� = 15
=
3��
−12
=
−2
−2
5��
15
=
3
3
�� = −1
5
5
�� = −4
�� = 3
2
( �� − 9 ) = 8
11.
3
2
2
∙ �� −
∙ 9 = 8
3
3
2
3
�� − 6 = 8
( 4�� − 8 ) = 12
10.
12. 4 − 5 ( 2�� − 3 ) = −1
3
4
2
3
3
4 − 5 ∙ 2�� + 5 ∙ 3 = −1
∙ 4�� −
∙ 8 = 12
�� − 6 + 6 = 8 + 6
4
4
4 − 10�� + 15 = −1
3
3�� − 6 = 12
2
19 − 10�� = −1
�� = 14
3�� − 6 + 6 = 12 + 6
3
−19 + 19 − 10�� = −1 − 19
3
2
3
14
3�� = 18
∙
�� =
∙
−10��
−20
2
3
2
1
=
3��
18
=
�� = 21
−10
−10
3
3
�� = 2
�� = 6
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