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 = 0.5
11) x = 0.5
12) x = 0.25
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 = 0.5
11) x = 0.5
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 = 1.5
11) x = 4.5
12) x = 1/3
Parent Tip: Review the logic above to help your child master the concept of beginning algebra worksheet with answers.