Let’s solve each equation one by one. Remember, we want to find the value of
x that makes each equation true. We do this by doing the opposite operation to both sides of the equation.
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a) x + 5 = 14
We need to get rid of the +5 on the left side.
Do the opposite: subtract 5 from both sides.
→ x + 5 - 5 = 14 - 5
→ x = 9
✔ Check: 9 + 5 = 14 → Correct!
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b) x - 2 = 19
We need to get rid of the -2 on the left side.
Do the opposite: add 2 to both sides.
→ x - 2 + 2 = 19 + 2
→ x = 21
✔ Check: 21 - 2 = 19 → Correct!
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c) x/8 = 9
This means “x divided by 8 equals 9”.
To undo division, multiply both sides by 8.
→ (x/8) × 8 = 9 × 8
→ x = 72
✔ Check: 72 ÷ 8 = 9 → Correct!
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d) 4x = 28
This means “4 times x equals 28”.
To undo multiplication, divide both sides by 4.
→ 4x ÷ 4 = 28 ÷ 4
→ x = 7
✔ Check: 4 × 7 = 28 → Correct!
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e) x - 11 = 28
Get rid of -11 by adding 11 to both sides.
→ x - 11 + 11 = 28 + 11
→ x = 39
✔ Check: 39 - 11 = 28 → Correct!
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f) 8x = 32
Undo multiplication by dividing both sides by 8.
→ 8x ÷ 8 = 32 ÷ 8
→ x = 4
✔ Check: 8 × 4 = 32 → Correct!
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g) x/12 = 5
Undo division by multiplying both sides by 12.
→ (x/12) × 12 = 5 × 12
→ x = 60
✔ Check: 60 ÷ 12 = 5 → Correct!
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h) x + 15 = 25
Get rid of +15 by subtracting 15 from both sides.
→ x + 15 - 15 = 25 - 15
→ x = 10
✔ Check: 10 + 15 = 25 → Correct!
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Final Answer:
a) x = 9
b) x = 21
c) x = 72
d) x = 7
e) x = 39
f) x = 4
g) x = 60
h) x = 10
Parent Tip: Review the logic above to help your child master the concept of algebra one step equation worksheet.
