Let’s solve a one-step equation together — I’ll pick one from the worksheet to show you how it works.
We’ll use this problem (from Worksheet #1):
x + 2 = 10
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Step-by-step:
We want to find out what
x is.
Right now, x has 2 added to it. To get x by itself, we need to undo that “+2”.
What undoes adding 2? Subtracting 2!
So we subtract 2 from BOTH sides of the equation:
→ x + 2 - 2 = 10 - 2
That simplifies to:
→ x = 8
✔ Check: Plug it back in → 8 + 2 = 10 → YES! It works.
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Another example from Worksheet #3:
-8x = -56
Here, x is being multiplied by -8. To undo multiplication, we divide.
Divide both sides by -8:
→ (-8x) ÷ (-8) = (-56) ÷ (-8)
→ x = 7
✔ Check: -8 × 7 = -56 → Correct!
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One more with fractions (Worksheet #4):
x/4 = 0.5
This means “x divided by 4 equals 0.5”
To get x alone, multiply both sides by 4:
→ (x/4) × 4 = 0.5 × 4
→ x = 2
✔ Check: 2 ÷ 4 = 0.5 → Perfect!
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These are all one-step equations — meaning you only need ONE operation (add, subtract, multiply, or divide) to solve for x.
The key rule: Whatever you do to one side, you MUST do to the other side too — to keep the equation balanced.
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Final Answer:
For the equation
x + 2 = 10, the solution is
x = 8.
For
-8x = -56, the solution is
x = 7.
For
x/4 = 0.5, the solution is
x = 2.
Parent Tip: Review the logic above to help your child master the concept of 6th grade math teks worksheet.
