Algebra 1 Worksheets with Answers PDF | Printable Algebra 1 Math ... - Free Printable

I'll solve all the linear equations in this worksheet step by step.

Section A:

1) 7x + 9 = 23
Subtract 9 from both sides: 7x = 14
Divide by 7: x = 2

2) 5x + 7 = 42
Subtract 7 from both sides: 5x = 35
Divide by 5: x = 7

3) 4x + 3 = 51
Subtract 3 from both sides: 4x = 48
Divide by 4: x = 12

4) 9x + 5 = 41
Subtract 5 from both sides: 9x = 36
Divide by 9: x = 4

5) 4x + 2 = 34
Subtract 2 from both sides: 4x = 32
Divide by 4: x = 8

6) 11x + 3 = 36
Subtract 3 from both sides: 11x = 33
Divide by 11: x = 3

7) 10x + 2 = 72
Subtract 2 from both sides: 10x = 70
Divide by 10: x = 7

8) 7x + 3 = 52
Subtract 3 from both sides: 7x = 49
Divide by 7: x = 7

9) 6x + 5 = 17
Subtract 5 from both sides: 6x = 12
Divide by 6: x = 2

10) 4x + 7 = 9
Subtract 7 from both sides: 4x = 2
Divide by 4: x = 0.5 or 1/2

11) 8x + 11 = 15
Subtract 11 from both sides: 8x = 4
Divide by 8: x = 0.5 or 1/2

12) 4x + 17 = 18
Subtract 17 from both sides: 4x = 1
Divide by 4: x = 0.25 or 1/4

Section B:

1) 1 + 6x = 19
Subtract 1 from both sides: 6x = 18
Divide by 6: x = 3

2) 9 + 7x = 30
Subtract 9 from both sides: 7x = 21
Divide by 7: x = 3

3) 3 + 2x = 17
Subtract 3 from both sides: 2x = 14
Divide by 2: x = 7

4) 11 + 5x = 71
Subtract 11 from both sides: 5x = 60
Divide by 5: x = 12

5) 5 + 3x = 32
Subtract 5 from both sides: 3x = 27
Divide by 3: x = 9

6) 4 + 5x = 44
Subtract 4 from both sides: 5x = 40
Divide by 5: x = 8

7) 23 = x + 8
Subtract 8 from both sides: x = 15

8) 28 = 3x + 1
Subtract 1 from both sides: 27 = 3x
Divide by 3: x = 9

9) 53 = 8x + 5
Subtract 5 from both sides: 48 = 8x
Divide by 8: x = 6

10) 13 = 11 + 4x
Subtract 11 from both sides: 2 = 4x
Divide by 4: x = 0.5 or 1/2

11) 7 = 8x + 3
Subtract 3 from both sides: 4 = 8x
Divide by 8: x = 0.5 or 1/2

12) 12 = 7 + 15x
Subtract 7 from both sides: 5 = 15x
Divide by 15: x = 1/3

Section C:

1) 4x - 1 = 31
Add 1 to both sides: 4x = 32
Divide by 4: x = 8

2) 3x - 4 = 29
Add 4 to both sides: 3x = 33
Divide by 3: x = 11

3) 6x - 5 = 31
Add 5 to both sides: 6x = 36
Divide by 6: x = 6

4) 8x - 2 = 46
Add 2 to both sides: 8x = 48
Divide by 8: x = 6

5) 2x - 7 = 21
Add 7 to both sides: 2x = 28
Divide by 2: x = 14

6) 7x - 3 = 18
Add 3 to both sides: 7x = 21
Divide by 7: x = 3

7) 9x - 4 = 32
Add 4 to both sides: 9x = 36
Divide by 9: x = 4

8) 5x - 1 = 64
Add 1 to both sides: 5x = 65
Divide by 5: x = 13

9) 12x - 9 = 39
Add 9 to both sides: 12x = 48
Divide by 12: x = 4

10) 2x - 1 = 2
Add 1 to both sides: 2x = 3
Divide by 2: x = 1.5 or 3/2

11) 4x - 8 = 10
Add 8 to both sides: 4x = 18
Divide by 4: x = 4.5 or 9/2

12) 15x - 2 = 3
Add 2 to both sides: 15x = 5
Divide by 15: x = 1/3

Final Answer:
Section A: 1) x=2, 2) x=7, 3) x=12, 4) x=4, 5) x=8, 6) x=3, 7) x=7, 8) x=7, 9) x=2, 10) x=1/2, 11) x=1/2, 12) x=1/4

Section B: 1) x=3, 2) x=3, 3) x=7, 4) x=12, 5) x=9, 6) x=8, 7) x=15, 8) x=9, 9) x=6, 10) x=1/2, 11) x=1/2, 12) x=1/3

Section C: 1) x=8, 2) x=11, 3) x=6, 4) x=6, 5) x=14, 6) x=3, 7) x=4, 8) x=13, 9) x=4, 10) x=3/2, 11) x=9/2, 12) x=1/3