DATE
NAME
3-5
Student Edition
Pages 168–172
Practice
Solving Equations with the Variable on Both Sides
Solve each equation. Then check your solution.
1. 4x 2 9 5 7x 1 12
2. 6y 2 3 5 6y 1 8
3. 8m 1 13 5 13 1 8m
4. 8n 2 13 5 13 2 8n
5.
x13
2
5 15
6.
7. 1.4f 1 1.1 5 8.3 2 f
9.
11.
1
d
2
5
t
2
1
3
8
5 22d
3
2
2t531 t
2r 2 3
3
5
3
5
8. 0.4r 2 1.2 5 0.3r 1 0.6
10.
3
x
5
1
4
22561 x
12. 4.2z 5 24(0.6z 2 1.2)
13. 23(b 2 8) 2 5 5 9(b 1 2) 1 1
14. 8p 2 5(p 1 3) 5 (7p 2 1)3
15. 24(2 2 3x) 5 7 2 2(x 2 3)
16. 2(a 2 8) 1 7 5 5(a 1 2) 2 3a 2 19
Write an equation and solve. Then check your solution.
18. Twice a number increased by 12 is equal to 31 less than
three times the number. Find the number.
19. Eight minus two times a number is equal to the number
plus 17. Find the number.
20. Twice the greater of two consecutive odd integers is 13 less
than three times the lesser. Find the integers.
21. The perimeter of a rectangle is 24 inches. Find the
dimensions if its length is 3 inches greater than its width.
© Glencoe/McGraw-Hill
23
Algebra 1
DATE
NAME
3-5
Student Edition
Pages 168–172
Practice
Solving Equations with the Variable on Both Sides
Solve each equation. Then check your solution.
1. 4x 2 9 5 7x 1 12 27
2. 6y 2 3 5 6y 1 8 no solution
3. 8m 1 13 5 13 1 8m identity
4. 8n 2 13 5 13 2 8n
5.
x13
2
5 15 27
6.
7. 1.4f 1 1.1 5 8.3 2 f 3
1
3
9. 2d 1 8 5 22d 2
20
11.
5
t
2
1
10. 5x 2 2 5 6 1 4 x
3
2 t 5 3 1 t no solution
2
160
7
12. 4.2z 5 24(0.6z 2 1.2)
8
11
14. 8p 2 5(p 1 3) 5 (7p 2 1)3 2
13. 23(b 2 8) 2 5 5 9(b 1 2) 1 1 0
15. 24(2 2 3x) 5 7 2 2(x 2 3)
3 12
55
5
8. 0.4r 2 1.2 5 0.3r 1 0.6 18
3
3
2r 2 3
3
13
8
3
2
2
3
16. 2(a 2 8) 1 7 5 5(a 1 2) 2 3a 2 19
identity
Write an equation and solve. Then check your solution.
18. Twice a number increased by 12 is equal to 31 less than
three times the number. Find the number. 43
19. Eight minus two times a number is equal to the number
plus 17. Find the number. 23
20. Twice the greater of two consecutive odd integers is 13 less
than three times the lesser. Find the integers. 17, 19
21. The perimeter of a rectangle is 24 inches. Find the
dimensions if its length is 3 inches greater than its width.
1
2
1
2
4 in. by 7 in.
© Glencoe/McGraw-Hill
T23
Algebra 1