Algebra I Name:
Worksheet #1 (§3 – 5) Solving Equations Solve each equation. Each equation has exactly one solution. 1.
€
7x = 10 + 2 x 2.
€
9x = 44 − 2 x 3.
€
12y = 3y + 27 4.
€
8c = 6 − c
5.
€
6x = 2 x + 20 6.
€
5c = 28 + c 7.
€
9x = 3x − 54 8.
€
y = 4y + 30
9.
€
2d = 36 + 5d 10.
€
13
2c = 7 −
1
2c
Algebra I Name:
Solve each equation. Each equation has exactly one solution.
11.
€
9
4y =
5
4y − 8 12.
€
0.8m = 0.2m + 24
13.
€
8y = 90 − 2y 14.
€
4a − 55 = 9a
15.
€
7m + 36 = 11m 16.
€
4 − 2y = 6y
17.
€
3 − y = 8y 18.
€
2.3x + 36 = 0.3x
19.
€
11
4x + 24 = 3x 20.
€
12 −3
2x =
5
2x
Algebra I Name:
Worksheet #2 (§3 – 5) Solving Equations
Solve each equation. If there is no solution for the equation, write “no solution”. If the equation is true for all real numbers write “all real numbers.” 1.
€
7 − 2n = n − 14 2.
€
2 4 − 2r( ) = −2 r + 5( )
3.
€
3d + 8 = 2d − 7 4.
€
6t = 3 t + 4( ) − t
5.
€
8z − 7 = 3z − 7 + 5z 6.
€
7x − 8 = 3x + 12 7.
€
3 n − 1( ) = 5n + 3 − 2n 8.
€
2 6 − 4d( ) = 25 − 9d
9.
€
4s − 12 = −5s + 51 10.
€
8 2f − 3( ) = 4 4f − 8( )
Algebra I Name:
Solve each equation. Each equation has exactly one solution. 11.
€
6k − 25 = 7 − 2k 12.
€
3v − 9 = 7 + 2v − v
13.
€
4 b − 1( ) = −4 + 4b 14.
€
1
2x + 1 =
1
2x − 1
15.
€
6 − 4d = 16 − 9d 16.
€
8
3a − 3 = 3a
17.
€
2s − 12 + 2s = 4s − 12 18.
€
3.6y = 5.4 + 3.3y 19.
€
4.3v − 6 = 8 + 2.3v 20.
€
4b − 1 = −4 + 4b + 3
Algebra I Name:
Worksheet #3 (§3 – 5) Solving Equations Solve each equation. Each equation has exactly one solution. 1.
€
5a − 40 = 3a 2.
€
5c = 2c − 81 3.
€
x = 9x − 72 4.
€
y = 9y − 56
5.
€
0.5m − 30 = 1.1m 6.
€
17c = 39c + 132 7.
€
7r + 10 = 3r + 50 8.
€
8t + 17 = 5t + 35 9.
€
4y + 20 = 5y + 9 10.
€
8s + 56 = 14s + 26
Algebra I Name:
Solve each equation. Each equation has exactly one solution. 11.
€
37 + x = 5x + 9 12.
€
6b + 11 = 2b + 47 13.
€
7x + 8 = 6x + 1 14.
€
x + 4 = 9x + 4 15.
€
9x − 3 = 2 x + 46 16.
€
y + 30 = 12y − 14 17.
€
6x − 7 = 4x + 3 18.
€
2z + 1 = 10z − 1 19.
€
c + 20 = 55 − 4c 20.
€
9a − 23 = 5a − 11
Algebra I Name:
Solve each equation. Each equation has exactly one solution. 21.
€
2d + 36 = −3d − 54 22.
€
−4d − 37 = 7d + 18 23.
€
7y − 5 = 9y + 29 24.
€
2m − 1 = 6m + 1 25.
€
5c − 8 = 2c + 7 26.
€
2 + 7y = 11 − 2y 27.
€
4x − 3 = 47 − x 28.
€
5c − 13 = 43 − 2c
29.
€
3b − 8 = 14 − 8b 30.
€
2
3t − 11 = 64 −
13
3t
Algebra I Name:
Worksheet #4 (§3 – 5) Solving Equations Solve each equation. Remember… IF you have no x’s and a FALSE statement, there is no solution. IF you have no x’s and a TRUE statement, then all numbers will satisfy the equation. 1.
€
2 x + 5 = 3x 2.
€
8x − 3 = 8x 3.
€
64 − 8x = 8x 4.
€
3 x − 1( ) = 3x − 3
5.
€
1
3x = 7 −
2
3x 6.
€
1
2x − 8 = 14 +
1
2x
7.
€
2 2 x − 3( ) − x = 3x − 6 8.
€
1
36x − 9( ) = 2 x − 3
9.
€
1
22 x − 6( ) = 2 x − 3 10.
€
−3 − −4 x( ) = −4x + 5
Algebra I Name:
Solve each equation. Remember… IF you have no x’s and a FALSE statement, there is no solution. IF you have no x’s and a TRUE statement, then all numbers will satisfy the equation. 11.
€
−2 x = −4 x + 24 12.
€
70 + 8x = −6x 13.
€
7x = 24 − 5x 14.
€
6 3 − x( ) = −4 2 x − 1( ) 15.
€
8x − 3 = 13 + 8x 16.
€
− 11 − 2 x( ) = 5 x + 8( ) 17.
€
10 − 2 x = 2 x 18.
€
3x − 4 = 10 − 4x
19.
€
−x + 1 = x + 1 20.
€
1
22 x + 6( ) = 2 x
Algebra I Name:
Solve each equation. Remember… IF you have no x’s and a FALSE statement, there is no solution. IF you have no x’s and a TRUE statement, then all numbers will satisfy the equation.
21.
€
5 + 2 x = 5 − 2 x 22.
€
x
4+ 3 = 10
23.
€
x + 1 = x − 1 24.
€
1
24x + 8( ) = 2 x + 4
25.
€
11y − 8 = 22 − y 26.
€
10x − 21 = 2 x − 5 27.
€
18 − 4n = 6 − 16n 28.
€
−2y − 39 = 5y − 18 29.
€
7x − 4 = 5x − x + 35 30.
€
10 − x − 3x = 7x − 23
Algebra I Name:
58.
€
8a − 15 − 6a = 85 − 3a 59.
€
5d + 9 − 4 d = 51 − 5d 60.
€
5 x − 2 x + 13 = x + 1 61.
€
8c + 1 = 7c − 14 − 2c 62.
€
9c − 2c + 8 = 4 c + 38 63.
€
12x − 5 = 8 x − x + 50 64.
€
6d − 12 − d = 9d + 53 + d 65.
€
8 x − 4 + 7 = 6 x + x + 9 66.
€
3m − 5m − 12 = 7m − 88 − 5 67.
€
5 − 3z − 18 = z − 1 + 8z
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