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